Lapack testing problems
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Katrin katrinp at imit.kth.seMon Jan 13 01:12:11 PST 2003
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Hello, running the test suite for LAPACK, there where some errors in the *.out files. Can anyone help me? I used the g77 compiler with the following options OPTS = -funroll-all-loops -fno-f2c -O3 -fno-emulate-complex on Madrake Linux. There where errors in ssep.out and dsep.out and in cgg.out and zgg.out, which I don't find reported anywhere, and the expected errors in all *gd.out . Furthermore I wonder wether there is something wrong with the *bal.out, *bak.out, *gbal.out and *gbak.out . They look like that (except sbal and cbal): .. test output of DGEBAK .. value of largest test error = 0.160E+01 example number where info is not zero = 0 example number having largest error = 7 number of examples where info is not 0 = 0 total number of examples tested = 7 End of tests Total time used = 0.01 seconds .. test output of DGGBAK .. value of largest test error = 0.524E+00 example number where DGGBAL info is not 0 = 0 example number where DGGBAK(L) info is not 0 = 0 example number where DGGBAK(R) info is not 0 = 0 example number having largest error = 5 number of examples where info is not 0 = 0 total number of examples tested = 8 End of tests Total time used = 0.01 seconds Here is ssep.out and csep.out: Tests of the Symmetric Eigenvalue Problem routines LAPACK VERSION 3.0, released June 30, 1999 The following parameter values will be used: M: 0 1 2 3 5 20 N: 0 1 2 3 5 20 NB: 1 3 3 3 10 NBMIN: 2 2 2 2 2 NX: 1 0 5 9 1 Relative machine underflow is taken to be 0.117549E-37 Relative machine overflow is taken to be 0.340282E+39 Relative machine precision is taken to be 0.596046E-07 Routines pass computational tests if test ratio is less than 50.00 SST routines passed the tests of the error exits (147 tests done) SEP: NB = 1, NBMIN = 2, NX = 1 All tests for SST passed the threshold ( 4662 tests run) All tests for SST drivers passed the threshold ( 14256 tests run) SEP: NB = 3, NBMIN = 2, NX = 0 All tests for SST passed the threshold ( 4662 tests run) All tests for SST drivers passed the threshold ( 14256 tests run) SEP: NB = 3, NBMIN = 2, NX = 5 SST -- Real Symmetric eigenvalue problem Matrix types (see SCHKST for details): Special Matrices: 1=Zero matrix. 5=Diagonal: clustered entries. 2=Identity matrix. 6=Diagonal: large, evenly spaced. 3=Diagonal: evenly spaced entries. 7=Diagonal: small, evenly spaced. 4=Diagonal: geometr. spaced entries. Dense Symmetric Matrices: 8=Evenly spaced eigenvals. 12=Small, evenly spaced eigenvals. 9=Geometrically spaced eigenvals. 13=Matrix with random O(1) entries. 10=Clustered eigenvalues. 14=Matrix with large random entries. 11=Large, evenly spaced eigenvals. 15=Matrix with small random entries. 16=Positive definite, evenly spaced eigenvalues 17=Positive definite, geometrically spaced eigenvlaues 18=Positive definite, clustered eigenvalues 19=Positive definite, small evenly spaced eigenvalues 20=Positive definite, large evenly spaced eigenvalues 21=Diagonally dominant tridiagonal, geometrically spaced eigenvalues Test performed: see SCHKST for details. N= 20, seed=2989,1119,3793,1781, type 9, test(36)= 62.7 SST: 1 out of 4662 tests failed to pass the threshold All tests for SST drivers passed the threshold ( 14256 tests run) SEP: NB = 3, NBMIN = 2, NX = 9 SST -- Real Symmetric eigenvalue problem Matrix types (see SCHKST for details): Special Matrices: 1=Zero matrix. 5=Diagonal: clustered entries. 2=Identity matrix. 6=Diagonal: large, evenly spaced. 3=Diagonal: evenly spaced entries. 7=Diagonal: small, evenly spaced. 4=Diagonal: geometr. spaced entries. Dense Symmetric Matrices: 8=Evenly spaced eigenvals. 12=Small, evenly spaced eigenvals. 9=Geometrically spaced eigenvals. 13=Matrix with random O(1) entries. 10=Clustered eigenvalues. 14=Matrix with large random entries. 11=Large, evenly spaced eigenvals. 15=Matrix with small random entries. 16=Positive definite, evenly spaced eigenvalues 17=Positive definite, geometrically spaced eigenvlaues 18=Positive definite, clustered eigenvalues 19=Positive definite, small evenly spaced eigenvalues 20=Positive definite, large evenly spaced eigenvalues 21=Diagonally dominant tridiagonal, geometrically spaced eigenvalues Test performed: see SCHKST for details. N= 20, seed= 443,2933, 429,1581, type 9, test(35)= 0.357E+05 N= 20, seed= 443,2933, 429,1581, type 9, test(36)= 0.121E+07 SST: 2 out of 4662 tests failed to pass the threshold SST -- Real Symmetric eigenvalue problem Matrix types (see xDRVST for details): Special Matrices: 1=Zero matrix. 5=Diagonal: clustered entries. 2=Identity matrix. 6=Diagonal: large, evenly spaced. 3=Diagonal: evenly spaced entries. 7=Diagonal: small, evenly spaced. 4=Diagonal: geometr. spaced entries. Dense Symmetric Matrices: 8=Evenly spaced eigenvals. 12=Small, evenly spaced eigenvals. 9=Geometrically spaced eigenvals. 13=Matrix with random O(1) entries. 10=Clustered eigenvalues. 14=Matrix with large random entries. 11=Large, evenly spaced eigenvals. 15=Matrix with small random entries. Tests performed: See sdrvst.f Matrix order= 20, type= 9, seed=3966,3411,3597,2265, result 72 is 63.60 SST drivers: 1 out of 14256 tests failed to pass the threshold SEP: NB = 10, NBMIN = 2, NX = 1 All tests for SST passed the threshold ( 4662 tests run) All tests for SST drivers passed the threshold ( 14256 tests run) End of tests Total time used = 2.65 seconds ______________________________________________________ Tests of the Hermitian Eigenvalue Problem routines LAPACK VERSION 3.0, released June 30, 1999 The following parameter values will be used: M: 0 1 2 3 5 20 N: 0 1 2 3 5 20 NB: 1 3 3 3 10 NBMIN: 2 2 2 2 2 NX: 1 0 5 9 1 Relative machine underflow is taken to be 0.117549E-37 Relative machine overflow is taken to be 0.340282E+39 Relative machine precision is taken to be 0.596046E-07 Routines pass computational tests if test ratio is less than 50.00 CST routines passed the tests of the error exits (114 tests done) SEP: NB = 1, NBMIN = 2, NX = 1 All tests for CST passed the threshold ( 4662 tests run) All tests for CST drivers passed the threshold ( 11664 tests run) SEP: NB = 3, NBMIN = 2, NX = 0 All tests for CST passed the threshold ( 4662 tests run) All tests for CST drivers passed the threshold ( 11664 tests run) SEP: NB = 3, NBMIN = 2, NX = 5 All tests for CST passed the threshold ( 4662 tests run) All tests for CST drivers passed the threshold ( 11664 tests run) SEP: NB = 3, NBMIN = 2, NX = 9 CST -- Complex Hermitian eigenvalue problem Matrix types (see CCHKST for details): Special Matrices: 1=Zero matrix. 5=Diagonal: clustered entries. 2=Identity matrix. 6=Diagonal: large, evenly spaced. 3=Diagonal: evenly spaced entries. 7=Diagonal: small, evenly spaced. 4=Diagonal: geometr. spaced entries. Dense Hermitian Matrices: 8=Evenly spaced eigenvals. 12=Small, evenly spaced eigenvals. 9=Geometrically spaced eigenvals. 13=Matrix with random O(1) entries. 10=Clustered eigenvalues. 14=Matrix with large random entries. 11=Large, evenly spaced eigenvals. 15=Matrix with small random entries. 16=Positive definite, evenly spaced eigenvalues 17=Positive definite, geometrically spaced eigenvlaues 18=Positive definite, clustered eigenvalues 19=Positive definite, small evenly spaced eigenvalues 20=Positive definite, large evenly spaced eigenvalues 21=Diagonally dominant tridiagonal, geometrically spaced eigenvalues Test performed: see CCHKST for details. Matrix order= 20, type= 9, seed=1052,3651,3662,3633, result 36 is 1010.26 CST: 1 out of 4662 tests failed to pass the threshold All tests for CST drivers passed the threshold ( 11664 tests run) SEP: NB = 10, NBMIN = 2, NX = 1 CST -- Complex Hermitian eigenvalue problem Matrix types (see CCHKST for details): Special Matrices: 1=Zero matrix. 5=Diagonal: clustered entries. 2=Identity matrix. 6=Diagonal: large, evenly spaced. 3=Diagonal: evenly spaced entries. 7=Diagonal: small, evenly spaced. 4=Diagonal: geometr. spaced entries. Dense Hermitian Matrices: 8=Evenly spaced eigenvals. 12=Small, evenly spaced eigenvals. 9=Geometrically spaced eigenvals. 13=Matrix with random O(1) entries. 10=Clustered eigenvalues. 14=Matrix with large random entries. 11=Large, evenly spaced eigenvals. 15=Matrix with small random entries. 16=Positive definite, evenly spaced eigenvalues 17=Positive definite, geometrically spaced eigenvlaues 18=Positive definite, clustered eigenvalues 19=Positive definite, small evenly spaced eigenvalues 20=Positive definite, large evenly spaced eigenvalues 21=Diagonally dominant tridiagonal, geometrically spaced eigenvalues Test performed: see CCHKST for details. Matrix order= 20, type= 9, seed= 542,2554, 421,3281, result 36 is 63.94 CST: 1 out of 4662 tests failed to pass the threshold All tests for CST drivers passed the threshold ( 11664 tests run) End of tests Total time used = 4.09 seconds _______________________________________________________ This is cgg.out: Tests of the Generalized Nonsymmetric Eigenvalue Problem routines LAPACK VERSION 3.0, released June 30, 1999 The following parameter values will be used: M: 0 1 2 3 5 10 16 N: 0 1 2 3 5 10 16 NB: 1 1 2 2 NBMIN: 40 40 2 2 NS: 2 4 2 4 MAXB: 40 40 2 2 NBCOL: 40 40 2 2 Relative machine underflow is taken to be 0.117549E-37 Relative machine overflow is taken to be 0.340282E+39 Relative machine precision is taken to be 0.596046E-07 Routines pass computational tests if test ratio is less than 20.00 CGG routines passed the tests of the error exits ( 27 tests done) CGG: NB = 1, NBMIN = 40, NS = 2, MAXB = 40, NBCOL = 40 CCHKGG: CHGEQZ(V) returned INFO= 5. N= 5, JTYPE= 17, ISEED=( 3150, 3277, 3584, 2597) CGG -- Complex Generalized eigenvalue problem Matrix types (see CCHKGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (H is Hessenberg, S is Schur, B, T, P are triangular, U, V, Q, and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - U H V* | / ( |A| n ulp ) 2 = | B - U T V* | / ( |B| n ulp ) 3 = | I - UU* | / ( n ulp ) 4 = | I - VV* | / ( n ulp ) 5 = | H - Q S Z* | / ( |H| n ulp ) 6 = | T - Q P Z* | / ( |T| n ulp ) 7 = | I - QQ* | / ( n ulp ) 8 = | I - ZZ* | / ( n ulp ) 9 = max | ( b S - a P )* l | / const. 10 = max | ( b H - a T )* l | / const. 11= max | ( b S - a P ) r | / const. 12 = max | ( b H - a T ) r | / const. Matrix order= 5, type=17, seed=3150,3277,3584,2597, result 5 is 8.389E+06 Matrix order= 5, type=18, seed=1198,3649,2662,3957, result 5 is 4824.82 Matrix order= 5, type=18, seed=1198,3649,2662,3957, result 12 is 9169.87 CCHKGG: CHGEQZ(E) returned INFO= 5. N= 5, JTYPE= 20, ISEED=( 3632, 142, 2005, 1877) Matrix order= 5, type=20, seed=3632, 142,2005,1877, result 5 is 8.389E+06 Matrix order= 5, type=21, seed=2406,3874, 631,3781, result 5 is 65.66 Matrix order= 5, type=21, seed=2406,3874, 631,3781, result 12 is 120.31 Matrix order= 5, type=22, seed=2925,1715,1088,2417, result 5 is 2.056E+05 CCHKGG: CHGEQZ(E) returned INFO= 3. N= 5, JTYPE= 23, ISEED=( 3973, 3739, 2792, 1873) Matrix order= 5, type=23, seed=3973,3739,2792,1873, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 3. N= 5, JTYPE= 24, ISEED=( 871, 2053, 3644, 2353) Matrix order= 5, type=24, seed= 871,2053,3644,2353, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 10. N= 10, JTYPE= 17, ISEED=( 3112, 827, 1844, 257) Matrix order= 10, type=17, seed=3112, 827,1844, 257, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 10. N= 10, JTYPE= 18, ISEED=( 2548, 3287, 2863, 3857) Matrix order= 10, type=18, seed=2548,3287,2863,3857, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 10. N= 10, JTYPE= 21, ISEED=( 88, 1442, 3924, 2385) Matrix order= 10, type=21, seed= 88,1442,3924,2385, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 8. N= 10, JTYPE= 22, ISEED=( 3978, 339, 1822, 3785) Matrix order= 10, type=22, seed=3978, 339,1822,3785, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 7. N= 10, JTYPE= 23, ISEED=( 2627, 1986, 1036, 2129) Matrix order= 10, type=23, seed=2627,1986,1036,2129, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 25, ISEED=( 414, 1096, 1470, 33) Matrix order= 10, type=25, seed= 414,1096,1470, 33, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 9. N= 10, JTYPE= 26, ISEED=( 91, 310, 3611, 617) Matrix order= 10, type=26, seed= 91, 310,3611, 617, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 15. N= 16, JTYPE= 17, ISEED=( 842, 70, 3499, 1241) Matrix order= 16, type=17, seed= 842, 70,3499,1241, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 4. N= 16, JTYPE= 18, ISEED=( 2005, 3192, 2302, 2249) Matrix order= 16, type=18, seed=2005,3192,2302,2249, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 8. N= 16, JTYPE= 19, ISEED=( 3742, 1684, 3425, 2249) Matrix order= 16, type=19, seed=3742,1684,3425,2249, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 13. N= 16, JTYPE= 20, ISEED=( 2269, 2610, 452, 2249) Matrix order= 16, type=20, seed=2269,2610, 452,2249, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 11. N= 16, JTYPE= 21, ISEED=( 1246, 1872, 1575, 2249) Matrix order= 16, type=21, seed=1246,1872,1575,2249, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 13. N= 16, JTYPE= 22, ISEED=( 2702, 1183, 3479, 249) Matrix order= 16, type=22, seed=2702,1183,3479, 249, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 14. N= 16, JTYPE= 23, ISEED=( 1518, 558, 1661, 3537) Matrix order= 16, type=23, seed=1518, 558,1661,3537, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 15. N= 16, JTYPE= 24, ISEED=( 280, 4055, 3020, 745) Matrix order= 16, type=24, seed= 280,4055,3020, 745, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 12. N= 16, JTYPE= 25, ISEED=( 2432, 2576, 2044, 1601) Matrix order= 16, type=25, seed=2432,2576,2044,1601, result 5 is 8.389E+06 Matrix order= 16, type=26, seed=1851,1924,3217,3545, result 5 is 360.81 Matrix order= 16, type=26, seed=1851,1924,3217,3545, result 10 is 365.51 Matrix order= 16, type=26, seed=1851,1924,3217,3545, result 12 is 1130.45 CGG: 28 out of 2044 tests failed to pass the threshold *** Error code from CCHKGG = 12 CGG -- Complex Generalized eigenvalue problem driver Matrix types (see CDRVGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (S is Schur, T is triangular, Q and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - Q S Z* | / ( |A| n ulp ) 2 = | B - Q T Z* | / ( |B| n ulp ) 3 = | I - QQ* | / ( n ulp ) 4 = | I - ZZ* | / ( n ulp ) 5 = difference between (alpha,beta) and diagonals of (S,T) 6 = max | ( b A - a B )* l | / const. 7 = max | ( b A - a B ) r | / const. Matrix order= 5, type=19, seed=1473,2247,3104,3869, result 1 is 1.600E+05 Matrix order= 5, type=23, seed= 98, 522, 225, 169, result 1 is 1.760E+05 Matrix order= 5, type=25, seed=1468,2085,3970, 617, result 1 is 1.063E+05 CDRVGG: CGEGV returned INFO= 6. N= 10, JTYPE= 17, ISEED=( 1231, 2336, 2198, 1753) Matrix order= 10, type=17, seed=1231,2336,2198,1753, result 1 is 1.327E+05 Matrix order= 10, type=17, seed=1231,2336,2198,1753, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 9. N= 10, JTYPE= 18, ISEED=( 322, 287, 1477, 617) Matrix order= 10, type=18, seed= 322, 287,1477, 617, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 8. N= 10, JTYPE= 19, ISEED=( 2152, 695, 3327, 3369) Matrix order= 10, type=19, seed=2152, 695,3327,3369, result 1 is 8.389E+06 CDRVGG: CGEGV returned INFO= 6. N= 10, JTYPE= 21, ISEED=( 634, 2449, 1576, 681) Matrix order= 10, type=21, seed= 634,2449,1576, 681, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 6. N= 10, JTYPE= 22, ISEED=( 3505, 965, 2045, 3425) Matrix order= 10, type=22, seed=3505, 965,2045,3425, result 1 is 8.389E+06 CDRVGG: CGEGV returned INFO= 8. N= 10, JTYPE= 23, ISEED=( 2977, 2947, 2370, 2473) Matrix order= 10, type=23, seed=2977,2947,2370,2473, result 6 is 8.389E+06 CDRVGG: CGEGV returned INFO= 5. N= 10, JTYPE= 24, ISEED=( 635, 516, 3095, 561) Matrix order= 10, type=24, seed= 635, 516,3095, 561, result 1 is 9838.50 Matrix order= 10, type=24, seed= 635, 516,3095, 561, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 5. N= 10, JTYPE= 25, ISEED=( 3531, 3816, 3406, 2297) Matrix order= 10, type=25, seed=3531,3816,3406,2297, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 11. N= 16, JTYPE= 17, ISEED=( 75, 3661, 2089, 241) Matrix order= 16, type=17, seed= 75,3661,2089, 241, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 12. N= 16, JTYPE= 18, ISEED=( 2670, 132, 428, 1889) Matrix order= 16, type=18, seed=2670, 132, 428,1889, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 7. N= 16, JTYPE= 19, ISEED=( 864, 3448, 151, 1889) Matrix order= 16, type=19, seed= 864,3448, 151,1889, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 3. N= 16, JTYPE= 20, ISEED=( 3127, 1476, 3970, 1889) Matrix order= 16, type=20, seed=3127,1476,3970,1889, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 16. N= 16, JTYPE= 21, ISEED=( 388, 2410, 3693, 1889) Matrix order= 16, type=21, seed= 388,2410,3693,1889, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 8. N= 16, JTYPE= 22, ISEED=( 1176, 413, 1114, 2065) Matrix order= 16, type=22, seed=1176, 413,1114,2065, result 1 is 8.389E+06 CDRVGG: CGEGV returned INFO= 8. N= 16, JTYPE= 23, ISEED=( 965, 2985, 718, 809) Matrix order= 16, type=23, seed= 965,2985, 718, 809, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 9. N= 16, JTYPE= 24, ISEED=( 2844, 667, 4020, 3201) Matrix order= 16, type=24, seed=2844, 667,4020,3201, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 11. N= 16, JTYPE= 25, ISEED=( 310, 3008, 2985, 2585) Matrix order= 16, type=25, seed= 310,3008,2985,2585, result 1 is 8.389E+06 CGG drivers: 22 out of 1197 tests failed to pass the threshold *** Error code from CDRVGG = 11 CGG: NB = 1, NBMIN = 40, NS = 4, MAXB = 40, NBCOL = 40 CCHKGG: CHGEQZ(E) returned INFO= 4. N= 5, JTYPE= 17, ISEED=( 4031, 2858, 463, 469) CGG -- Complex Generalized eigenvalue problem Matrix types (see CCHKGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (H is Hessenberg, S is Schur, B, T, P are triangular, U, V, Q, and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - U H V* | / ( |A| n ulp ) 2 = | B - U T V* | / ( |B| n ulp ) 3 = | I - UU* | / ( n ulp ) 4 = | I - VV* | / ( n ulp ) 5 = | H - Q S Z* | / ( |H| n ulp ) 6 = | T - Q P Z* | / ( |T| n ulp ) 7 = | I - QQ* | / ( n ulp ) 8 = | I - ZZ* | / ( n ulp ) 9 = max | ( b S - a P )* l | / const. 10 = max | ( b H - a T )* l | / const. 11= max | ( b S - a P ) r | / const. 12 = max | ( b H - a T ) r | / const. Matrix order= 5, type=17, seed=4031,2858, 463, 469, result 5 is 8.389E+06 Matrix order= 5, type=18, seed=1497, 865,2490, 549, result 5 is 2743.44 Matrix order= 5, type=18, seed=1497, 865,2490, 549, result 12 is 7313.46 CCHKGG: CHGEQZ(E) returned INFO= 3. N= 5, JTYPE= 20, ISEED=( 1033, 1636, 3260, 3077) Matrix order= 5, type=20, seed=1033,1636,3260,3077, result 5 is 8.389E+06 Matrix order= 5, type=21, seed=2577,1945,4069,3189, result 5 is 4.013E+04 Matrix order= 5, type=21, seed=2577,1945,4069,3189, result 12 is 1.255E+05 Matrix order= 5, type=22, seed= 895,2750,2345,1121, result 5 is 6.664E+04 Matrix order= 5, type=22, seed= 895,2750,2345,1121, result 12 is 1.215E+05 CCHKGG: CHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 17, ISEED=( 598, 1490, 535, 753) Matrix order= 10, type=17, seed= 598,1490, 535, 753, result 5 is 8.389E+06 Matrix order= 10, type=19, seed= 259,3819,1230,3265, result 12 is 32.18 CCHKGG: CHGEQZ(V) returned INFO= 10. N= 10, JTYPE= 20, ISEED=( 3986, 3067, 2031, 2433) Matrix order= 10, type=20, seed=3986,3067,2031,2433, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 10. N= 10, JTYPE= 21, ISEED=( 2751, 3969, 2681, 1601) Matrix order= 10, type=21, seed=2751,3969,2681,1601, result 5 is 8.389E+06 Matrix order= 10, type=22, seed= 652,1988, 45,1081, result 12 is 37.03 CCHKGG: CHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 23, ISEED=( 2721, 2562, 3986, 1345) Matrix order= 10, type=23, seed=2721,2562,3986,1345, result 5 is 8.389E+06 Matrix order= 10, type=24, seed=3564,3280,1992,2185, result 5 is 1.214E+05 CCHKGG: CHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 25, ISEED=( 2759, 1485, 2150, 17) Matrix order= 10, type=25, seed=2759,1485,2150, 17, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 7. N= 16, JTYPE= 17, ISEED=( 2639, 693, 3829, 2377) Matrix order= 16, type=17, seed=2639, 693,3829,2377, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 14. N= 16, JTYPE= 18, ISEED=( 1573, 1937, 2898, 3641) Matrix order= 16, type=18, seed=1573,1937,2898,3641, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 15. N= 16, JTYPE= 19, ISEED=( 1450, 1, 3973, 3641) Matrix order= 16, type=19, seed=1450, 1,3973,3641, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 9. N= 16, JTYPE= 20, ISEED=( 1647, 3043, 952, 3641) Matrix order= 16, type=20, seed=1647,3043, 952,3641, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 10. N= 16, JTYPE= 21, ISEED=( 2065, 2869, 2027, 3641) Matrix order= 16, type=21, seed=2065,2869,2027,3641, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 16. N= 16, JTYPE= 22, ISEED=( 3416, 3471, 2089, 873) Matrix order= 16, type=22, seed=3416,3471,2089, 873, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 12. N= 16, JTYPE= 23, ISEED=( 3238, 240, 926, 705) Matrix order= 16, type=23, seed=3238, 240, 926, 705, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 5. N= 16, JTYPE= 24, ISEED=( 2611, 3762, 1290, 1625) Matrix order= 16, type=24, seed=2611,3762,1290,1625, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 12. N= 16, JTYPE= 25, ISEED=( 1290, 3576, 3074, 1073) Matrix order= 16, type=25, seed=1290,3576,3074,1073, result 5 is 8.389E+06 CGG: 25 out of 2072 tests failed to pass the threshold *** Error code from CCHKGG = 12 CDRVGG: CGEGS returned INFO= 3. N= 5, JTYPE= 20, ISEED=( 781, 1305, 2295, 317) CGG -- Complex Generalized eigenvalue problem driver Matrix types (see CDRVGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (S is Schur, T is triangular, Q and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - Q S Z* | / ( |A| n ulp ) 2 = | B - Q T Z* | / ( |B| n ulp ) 3 = | I - QQ* | / ( n ulp ) 4 = | I - ZZ* | / ( n ulp ) 5 = difference between (alpha,beta) and diagonals of (S,T) 6 = max | ( b A - a B )* l | / const. 7 = max | ( b A - a B ) r | / const. Matrix order= 5, type=20, seed= 781,1305,2295, 317, result 1 is 8.389E+06 Matrix order= 5, type=24, seed= 712,3117, 514, 249, result 1 is 5.605E+04 CDRVGG: CGEGV returned INFO= 5. N= 10, JTYPE= 17, ISEED=( 3591, 318, 2414, 2889) Matrix order= 10, type=17, seed=3591, 318,2414,2889, result 6 is 8.389E+06 Matrix order= 10, type=18, seed= 757,2322,3939,3545, result 1 is 1.365E+04 Matrix order= 10, type=20, seed=3461,1605,3956,2905, result 1 is 2.050E+04 CDRVGG: CGEGS returned INFO= 7. N= 10, JTYPE= 21, ISEED=( 795, 965, 158, 2585) Matrix order= 10, type=21, seed= 795, 965, 158,2585, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 10. N= 10, JTYPE= 23, ISEED=( 724, 3393, 754, 281) Matrix order= 10, type=23, seed= 724,3393, 754, 281, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 6. N= 10, JTYPE= 24, ISEED=( 2876, 421, 943, 289) Matrix order= 10, type=24, seed=2876, 421, 943, 289, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 8. N= 16, JTYPE= 17, ISEED=( 3015, 2627, 3450, 993) Matrix order= 16, type=17, seed=3015,2627,3450, 993, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 7. N= 16, JTYPE= 18, ISEED=( 2115, 300, 3925, 849) Matrix order= 16, type=18, seed=2115, 300,3925, 849, result 1 is 8.389E+06 Matrix order= 16, type=19, seed= 913,2155,1424, 849, result 1 is 1.306E+04 CDRVGG: CGEGS returned INFO= 14. N= 16, JTYPE= 20, ISEED=( 1879, 1906, 3019, 849) Matrix order= 16, type=20, seed=1879,1906,3019, 849, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 7. N= 16, JTYPE= 21, ISEED=( 3319, 3651, 518, 849) Matrix order= 16, type=21, seed=3319,3651, 518, 849, result 1 is 8.389E+06 CDRVGG: CGEGV returned INFO= 6. N= 16, JTYPE= 22, ISEED=( 17, 2983, 1528, 2305) Matrix order= 16, type=22, seed= 17,2983,1528,2305, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 9. N= 16, JTYPE= 23, ISEED=( 2608, 3613, 244, 665) Matrix order= 16, type=23, seed=2608,3613, 244, 665, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 8. N= 16, JTYPE= 24, ISEED=( 3462, 3117, 508, 1649) Matrix order= 16, type=24, seed=3462,3117, 508,1649, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 15. N= 16, JTYPE= 25, ISEED=( 3899, 4018, 3766, 2697) Matrix order= 16, type=25, seed=3899,4018,3766,2697, result 1 is 8.389E+06 CGG drivers: 17 out of 1206 tests failed to pass the threshold *** Error code from CDRVGG = 15 CGG: NB = 2, NBMIN = 2, NS = 2, MAXB = 2, NBCOL = 2 CGG -- Complex Generalized eigenvalue problem Matrix types (see CCHKGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (H is Hessenberg, S is Schur, B, T, P are triangular, U, V, Q, and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - U H V* | / ( |A| n ulp ) 2 = | B - U T V* | / ( |B| n ulp ) 3 = | I - UU* | / ( n ulp ) 4 = | I - VV* | / ( n ulp ) 5 = | H - Q S Z* | / ( |H| n ulp ) 6 = | T - Q P Z* | / ( |T| n ulp ) 7 = | I - QQ* | / ( n ulp ) 8 = | I - ZZ* | / ( n ulp ) 9 = max | ( b S - a P )* l | / const. 10 = max | ( b H - a T )* l | / const. 11= max | ( b S - a P ) r | / const. 12 = max | ( b H - a T ) r | / const. Matrix order= 5, type=21, seed=1201,1663,2283,3877, result 5 is 6063.90 Matrix order= 5, type=21, seed=1201,1663,2283,3877, result 12 is 1.248E+04 Matrix order= 5, type=22, seed=3279,3906,3237, 81, result 5 is 2478.05 Matrix order= 5, type=22, seed=3279,3906,3237, 81, result 12 is 6073.57 CCHKGG: CHGEQZ(E) returned INFO= 4. N= 5, JTYPE= 23, ISEED=( 2077, 2802, 1319, 561) Matrix order= 5, type=23, seed=2077,2802,1319, 561, result 5 is 8.389E+06 Matrix order= 5, type=24, seed= 404,1409, 525,2065, result 5 is 228.67 Matrix order= 5, type=24, seed= 404,1409, 525,2065, result 12 is 654.46 CCHKGG: CHGEQZ(E) returned INFO= 6. N= 10, JTYPE= 17, ISEED=( 1404, 1204, 3270, 1505) Matrix order= 10, type=17, seed=1404,1204,3270,1505, result 5 is 8.389E+06 Matrix order= 10, type=18, seed=1371,3123, 235, 497, result 5 is 85.27 Matrix order= 10, type=19, seed=1536,2138,2686, 689, result 5 is 1.612E+04 Matrix order= 10, type=19, seed=1536,2138,2686, 689, result 12 is 2.146E+04 CCHKGG: CHGEQZ(E) returned INFO= 9. N= 10, JTYPE= 20, ISEED=( 2572, 39, 42, 881) Matrix order= 10, type=20, seed=2572, 39, 42, 881, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 10. N= 10, JTYPE= 21, ISEED=( 2098, 667, 175, 1073) Matrix order= 10, type=21, seed=2098, 667, 175,1073, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 6. N= 10, JTYPE= 22, ISEED=( 1962, 68, 2756, 681) Matrix order= 10, type=22, seed=1962, 68,2756, 681, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 23, ISEED=( 345, 1774, 537, 817) Matrix order= 10, type=23, seed= 345,1774, 537, 817, result 5 is 8.389E+06 Matrix order= 10, type=24, seed= 872, 932, 117, 505, result 5 is 1.551E+05 Matrix order= 10, type=24, seed= 872, 932, 117, 505, result 12 is 4.277E+05 CCHKGG: CHGEQZ(E) returned INFO= 3. N= 10, JTYPE= 25, ISEED=( 1773, 3203, 76, 257) Matrix order= 10, type=25, seed=1773,3203, 76, 257, result 5 is 8.389E+06 Matrix order= 10, type=26, seed=4066,1171,1499, 585, result 12 is 23.37 CCHKGG: CHGEQZ(E) returned INFO= 11. N= 16, JTYPE= 17, ISEED=( 2929, 1572, 489, 1721) Matrix order= 16, type=17, seed=2929,1572, 489,1721, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 5. N= 16, JTYPE= 18, ISEED=( 421, 3186, 1743, 3241) Matrix order= 16, type=18, seed= 421,3186,1743,3241, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 10. N= 16, JTYPE= 19, ISEED=( 236, 1328, 3538, 3241) Matrix order= 16, type=19, seed= 236,1328,3538,3241, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 11. N= 16, JTYPE= 20, ISEED=( 3986, 3152, 1237, 3241) Matrix order= 16, type=20, seed=3986,3152,1237,3241, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 11. N= 16, JTYPE= 21, ISEED=( 2436, 464, 3032, 3241) Matrix order= 16, type=21, seed=2436, 464,3032,3241, result 5 is 8.389E+06 Matrix order= 16, type=22, seed=2030,1917,1958,3801, result 5 is 5.523E+04 Matrix order= 16, type=22, seed=2030,1917,1958,3801, result 10 is 2242.64 Matrix order= 16, type=22, seed=2030,1917,1958,3801, result 12 is 1149.84 CCHKGG: CHGEQZ(E) returned INFO= 13. N= 16, JTYPE= 23, ISEED=( 2612, 2024, 791, 2225) Matrix order= 16, type=23, seed=2612,2024, 791,2225, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 15. N= 16, JTYPE= 24, ISEED=( 3197, 3970, 1171, 713) Matrix order= 16, type=24, seed=3197,3970,1171, 713, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 15. N= 16, JTYPE= 25, ISEED=( 1991, 2627, 808, 801) Matrix order= 16, type=25, seed=1991,2627, 808, 801, result 5 is 8.389E+06 CGG: 30 out of 2079 tests failed to pass the threshold *** Error code from CCHKGG = 15 CGG -- Complex Generalized eigenvalue problem driver Matrix types (see CDRVGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (S is Schur, T is triangular, Q and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - Q S Z* | / ( |A| n ulp ) 2 = | B - Q T Z* | / ( |B| n ulp ) 3 = | I - QQ* | / ( n ulp ) 4 = | I - ZZ* | / ( n ulp ) 5 = difference between (alpha,beta) and diagonals of (S,T) 6 = max | ( b A - a B )* l | / const. 7 = max | ( b A - a B ) r | / const. Matrix order= 5, type=17, seed=2939,2900,2935,4029, result 1 is 4.965E+05 Matrix order= 5, type=18, seed=3354,1530,2150,1677, result 1 is 6.089E+04 CDRVGG: CGEGV returned INFO= 4. N= 5, JTYPE= 21, ISEED=( 568, 147, 770, 1885) Matrix order= 5, type=21, seed= 568, 147, 770,1885, result 6 is 8.389E+06 Matrix order= 5, type=22, seed=2709,2598, 263, 425, result 1 is 1.820E+05 CDRVGG: CGEGS returned INFO= 5. N= 5, JTYPE= 24, ISEED=( 3676, 3713, 3044, 873) Matrix order= 5, type=24, seed=3676,3713,3044, 873, result 1 is 8.389E+06 Matrix order= 5, type=25, seed= 494, 235,3426, 585, result 1 is 3.680E+05 CDRVGG: CGEGV returned INFO= 6. N= 10, JTYPE= 17, ISEED=( 3227, 1941, 3856, 2233) Matrix order= 10, type=17, seed=3227,1941,3856,2233, result 6 is 8.389E+06 Matrix order= 10, type=18, seed=2621,3577,2629, 585, result 1 is 2.497E+04 CDRVGG: CGEGS returned INFO= 9. N= 10, JTYPE= 19, ISEED=( 1898, 501, 2694, 1289) Matrix order= 10, type=19, seed=1898, 501,2694,1289, result 1 is 8.389E+06 CDRVGG: CGEGV returned INFO= 7. N= 10, JTYPE= 20, ISEED=( 929, 1650, 248, 1993) Matrix order= 10, type=20, seed= 929,1650, 248,1993, result 6 is 8.389E+06 Matrix order= 10, type=21, seed= 363,3556,3675,2697, result 1 is 4.135E+04 CDRVGG: CGEGS returned INFO= 4. N= 10, JTYPE= 22, ISEED=( 4009, 3113, 3765, 1601) Matrix order= 10, type=22, seed=4009,3113,3765,1601, result 1 is 8.389E+06 CDRVGG: CGEGV returned INFO= 7. N= 10, JTYPE= 24, ISEED=( 1443, 2046, 3430, 273) Matrix order= 10, type=24, seed=1443,2046,3430, 273, result 1 is 1.406E+05 Matrix order= 10, type=24, seed=1443,2046,3430, 273, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 7. N= 10, JTYPE= 25, ISEED=( 1179, 3214, 1518, 1753) Matrix order= 10, type=25, seed=1179,3214,1518,1753, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 11. N= 16, JTYPE= 17, ISEED=( 1203, 2225, 3030, 2001) Matrix order= 16, type=17, seed=1203,2225,3030,2001, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 11. N= 16, JTYPE= 18, ISEED=( 450, 3502, 944, 65) Matrix order= 16, type=18, seed= 450,3502, 944, 65, result 1 is 8.389E+06 CDRVGG: CGEGV returned INFO= 9. N= 16, JTYPE= 19, ISEED=( 1343, 3257, 3131, 65) Matrix order= 16, type=19, seed=1343,3257,3131, 65, result 1 is 1.126E+04 Matrix order= 16, type=19, seed=1343,3257,3131, 65, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 5. N= 16, JTYPE= 20, ISEED=( 2521, 2302, 1222, 65) Matrix order= 16, type=20, seed=2521,2302,1222, 65, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 16. N= 16, JTYPE= 21, ISEED=( 2243, 635, 3409, 65) Matrix order= 16, type=21, seed=2243, 635,3409, 65, result 1 is 8.389E+06 CDRVGG: CGEGV returned INFO= 14. N= 16, JTYPE= 22, ISEED=( 3860, 2921, 3475, 2801) Matrix order= 16, type=22, seed=3860,2921,3475,2801, result 6 is 8.389E+06 CDRVGG: CGEGV returned INFO= 12. N= 16, JTYPE= 23, ISEED=( 3383, 685, 1640, 2825) Matrix order= 16, type=23, seed=3383, 685,1640,2825, result 1 is 5935.01 Matrix order= 16, type=23, seed=3383, 685,1640,2825, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 15. N= 16, JTYPE= 24, ISEED=( 15, 1505, 1736, 353) Matrix order= 16, type=24, seed= 15,1505,1736, 353, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 12. N= 16, JTYPE= 25, ISEED=( 1433, 821, 3265, 1017) Matrix order= 16, type=25, seed=1433, 821,3265,1017, result 1 is 8.389E+06 CGG drivers: 26 out of 1207 tests failed to pass the threshold *** Error code from CDRVGG = 12 CGG: NB = 2, NBMIN = 2, NS = 4, MAXB = 2, NBCOL = 2 CCHKGG: CHGEQZ(E) returned INFO= 4. N= 5, JTYPE= 17, ISEED=( 1915, 2136, 2450, 53) CGG -- Complex Generalized eigenvalue problem Matrix types (see CCHKGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (H is Hessenberg, S is Schur, B, T, P are triangular, U, V, Q, and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - U H V* | / ( |A| n ulp ) 2 = | B - U T V* | / ( |B| n ulp ) 3 = | I - UU* | / ( n ulp ) 4 = | I - VV* | / ( n ulp ) 5 = | H - Q S Z* | / ( |H| n ulp ) 6 = | T - Q P Z* | / ( |T| n ulp ) 7 = | I - QQ* | / ( n ulp ) 8 = | I - ZZ* | / ( n ulp ) 9 = max | ( b S - a P )* l | / const. 10 = max | ( b H - a T )* l | / const. 11= max | ( b S - a P ) r | / const. 12 = max | ( b H - a T ) r | / const. Matrix order= 5, type=17, seed=1915,2136,2450, 53, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 5. N= 5, JTYPE= 18, ISEED=( 2703, 136, 2165, 1669) Matrix order= 5, type=18, seed=2703, 136,2165,1669, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 5. N= 5, JTYPE= 21, ISEED=( 165, 619, 2213, 1749) Matrix order= 5, type=21, seed= 165, 619,2213,1749, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 5. N= 5, JTYPE= 23, ISEED=( 283, 2843, 3007, 289) Matrix order= 5, type=23, seed= 283,2843,3007, 289, result 5 is 8.389E+06 Matrix order= 5, type=24, seed=1089,1487,3707,2305, result 5 is 430.80 Matrix order= 5, type=24, seed=1089,1487,3707,2305, result 12 is 936.52 CCHKGG: CHGEQZ(E) returned INFO= 5. N= 5, JTYPE= 25, ISEED=( 1633, 376, 3792, 1249) Matrix order= 5, type=25, seed=1633, 376,3792,1249, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 17, ISEED=( 3292, 365, 1696, 2513) Matrix order= 10, type=17, seed=3292, 365,1696,2513, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 5. N= 10, JTYPE= 18, ISEED=( 3242, 785, 571, 1249) Matrix order= 10, type=18, seed=3242, 785, 571,1249, result 5 is 8.389E+06 Matrix order= 10, type=19, seed=1623, 405,2997,2465, result 5 is 1.596E+04 Matrix order= 10, type=19, seed=1623, 405,2997,2465, result 12 is 2.558E+04 CCHKGG: CHGEQZ(E) returned INFO= 5. N= 10, JTYPE= 20, ISEED=( 3368, 3418, 440, 3681) Matrix order= 10, type=20, seed=3368,3418, 440,3681, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 10. N= 10, JTYPE= 21, ISEED=( 408, 1546, 1797, 801) Matrix order= 10, type=21, seed= 408,1546,1797, 801, result 5 is 8.389E+06 Matrix order= 10, type=22, seed=3599, 71, 890,2585, result 5 is 4.959E+04 CCHKGG: CHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 23, ISEED=( 605, 3553, 432, 545) Matrix order= 10, type=23, seed= 605,3553, 432, 545, result 5 is 8.389E+06 Matrix order= 10, type=24, seed= 586, 836,3398,1129, result 5 is 1.688E+05 Matrix order= 10, type=24, seed= 586, 836,3398,1129, result 12 is 7.032E+05 CCHKGG: CHGEQZ(E) returned INFO= 7. N= 10, JTYPE= 25, ISEED=( 596, 3619, 2479, 753) Matrix order= 10, type=25, seed= 596,3619,2479, 753, result 5 is 8.389E+06 CCHKGG: CHGEQZ(S) returned INFO= 16. N= 16, JTYPE= 17, ISEED=( 1459, 411, 781, 3369) Matrix order= 16, type=17, seed=1459, 411, 781,3369, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 11. N= 16, JTYPE= 19, ISEED=( 3976, 3660, 2783, 1049) Matrix order= 16, type=19, seed=3976,3660,2783,1049, result 5 is 8.389E+06 CCHKGG: CHGEQZ(S) returned INFO= 5. N= 16, JTYPE= 20, ISEED=( 1903, 1121, 1970, 1049) Matrix order= 16, type=20, seed=1903,1121,1970,1049, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 15. N= 16, JTYPE= 21, ISEED=( 1858, 1223, 1157, 1049) Matrix order= 16, type=21, seed=1858,1223,1157,1049, result 5 is 8.389E+06 Matrix order= 16, type=22, seed= 644,2288,2167, 841, result 5 is 559.11 Matrix order= 16, type=22, seed= 644,2288,2167, 841, result 10 is 47.55 Matrix order= 16, type=22, seed= 644,2288,2167, 841, result 12 is 1689.63 CCHKGG: CHGEQZ(E) returned INFO= 11. N= 16, JTYPE= 23, ISEED=( 4082, 643, 1400, 4001) Matrix order= 16, type=23, seed=4082, 643,1400,4001, result 5 is 8.389E+06 CCHKGG: CHGEQZ(V) returned INFO= 14. N= 16, JTYPE= 24, ISEED=( 1083, 2820, 3805, 2105) Matrix order= 16, type=24, seed=1083,2820,3805,2105, result 5 is 8.389E+06 CCHKGG: CHGEQZ(E) returned INFO= 15. N= 16, JTYPE= 25, ISEED=( 3999, 208, 3981, 785) Matrix order= 16, type=25, seed=3999, 208,3981, 785, result 5 is 8.389E+06 Matrix order= 16, type=26, seed=1861, 161,2249,1577, result 5 is 1467.46 Matrix order= 16, type=26, seed=1861, 161,2249,1577, result 10 is 1440.66 Matrix order= 16, type=26, seed=1861, 161,2249,1577, result 12 is 4731.50 CGG: 31 out of 2058 tests failed to pass the threshold *** Error code from CCHKGG = 15 CDRVGG: CGEGV returned INFO= 5. N= 5, JTYPE= 19, ISEED=( 1103, 1257, 630, 3757) CGG -- Complex Generalized eigenvalue problem driver Matrix types (see CDRVGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (S is Schur, T is triangular, Q and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - Q S Z* | / ( |A| n ulp ) 2 = | B - Q T Z* | / ( |B| n ulp ) 3 = | I - QQ* | / ( n ulp ) 4 = | I - ZZ* | / ( n ulp ) 5 = difference between (alpha,beta) and diagonals of (S,T) 6 = max | ( b A - a B )* l | / const. 7 = max | ( b A - a B ) r | / const. Matrix order= 5, type=19, seed=1103,1257, 630,3757, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 5. N= 5, JTYPE= 23, ISEED=( 3838, 2020, 1541, 505) Matrix order= 5, type=23, seed=3838,2020,1541, 505, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 10. N= 10, JTYPE= 17, ISEED=( 2150, 113, 1026, 3881) Matrix order= 10, type=17, seed=2150, 113,1026,3881, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 4. N= 10, JTYPE= 18, ISEED=( 257, 4084, 2911, 4025) Matrix order= 10, type=18, seed= 257,4084,2911,4025, result 1 is 8.389E+06 Matrix order= 10, type=19, seed=3889,1749,1254,1657, result 1 is 2.414E+04 CDRVGG: CGEGS returned INFO= 7. N= 10, JTYPE= 20, ISEED=( 2138, 442, 909, 3385) Matrix order= 10, type=20, seed=2138, 442, 909,3385, result 1 is 8.389E+06 CDRVGG: CGEGV returned INFO= 10. N= 10, JTYPE= 22, ISEED=( 288, 3638, 2347, 1073) Matrix order= 10, type=22, seed= 288,3638,2347,1073, result 6 is 8.389E+06 CDRVGG: CGEGS returned INFO= 5. N= 10, JTYPE= 23, ISEED=( 2111, 180, 299, 2809) Matrix order= 10, type=23, seed=2111, 180, 299,2809, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 4. N= 10, JTYPE= 24, ISEED=( 3306, 2399, 2411, 513) Matrix order= 10, type=24, seed=3306,2399,2411, 513, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 9. N= 10, JTYPE= 25, ISEED=( 3783, 3802, 326, 2889) Matrix order= 10, type=25, seed=3783,3802, 326,2889, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 9. N= 16, JTYPE= 17, ISEED=( 1200, 651, 3244, 3265) Matrix order= 16, type=17, seed=1200, 651,3244,3265, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 8. N= 16, JTYPE= 18, ISEED=( 1769, 3903, 3003, 3633) Matrix order= 16, type=18, seed=1769,3903,3003,3633, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 6. N= 16, JTYPE= 19, ISEED=( 2389, 3280, 406, 3633) Matrix order= 16, type=19, seed=2389,3280, 406,3633, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 7. N= 16, JTYPE= 20, ISEED=( 2972, 1545, 1905, 3633) Matrix order= 16, type=20, seed=2972,1545,1905,3633, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 12. N= 16, JTYPE= 21, ISEED=( 2496, 2795, 3404, 3633) Matrix order= 16, type=21, seed=2496,2795,3404,3633, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 13. N= 16, JTYPE= 22, ISEED=( 1333, 3890, 2426, 3553) Matrix order= 16, type=22, seed=1333,3890,2426,3553, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 13. N= 16, JTYPE= 23, ISEED=( 3578, 2518, 3938, 3193) Matrix order= 16, type=23, seed=3578,2518,3938,3193, result 1 is 8.389E+06 CDRVGG: CGEGS returned INFO= 13. N= 16, JTYPE= 24, ISEED=( 3402, 3335, 502, 3409) Matrix order= 16, type=24, seed=3402,3335, 502,3409, result 1 is 8.389E+06 Matrix order= 16, type=25, seed=1265,1204,1296,1641, result 1 is 1.391E+04 CGG drivers: 19 out of 1182 tests failed to pass the threshold *** Error code from CDRVGG = 13 End of tests Total time used = 1.13 seconds ___________________________________________________ And this is zgg.out: Tests of the Generalized Nonsymmetric Eigenvalue Problem routines LAPACK VERSION 3.0, released June 30, 1999 The following parameter values will be used: M: 0 1 2 3 5 10 16 N: 0 1 2 3 5 10 16 NB: 1 1 2 2 NBMIN: 40 40 2 2 NS: 2 4 2 4 MAXB: 40 40 2 2 NBCOL: 40 40 2 2 Relative machine underflow is taken to be 0.222507-307 Relative machine overflow is taken to be 0.179769+309 Relative machine precision is taken to be 0.111022E-15 Routines pass computational tests if test ratio is less than 20.00 ZGG routines passed the tests of the error exits ( 27 tests done) ZGG: NB = 1, NBMIN = 40, NS = 2, MAXB = 40, NBCOL = 40 ZGG -- Complex Generalized eigenvalue problem Matrix types (see ZCHKGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (H is Hessenberg, S is Schur, B, T, P are triangular, U, V, Q, and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - U H V* | / ( |A| n ulp ) 2 = | B - U T V* | / ( |B| n ulp ) 3 = | I - UU* | / ( n ulp ) 4 = | I - VV* | / ( n ulp ) 5 = | H - Q S Z* | / ( |H| n ulp ) 6 = | T - Q P Z* | / ( |T| n ulp ) 7 = | I - QQ* | / ( n ulp ) 8 = | I - ZZ* | / ( n ulp ) 9 = max | ( b S - a P )* l | / const. 10 = max | ( b H - a T )* l | / const. 11= max | ( b S - a P ) r | / const. 12 = max | ( b H - a T ) r | / const. Matrix order= 5, type=17, seed=3150,3277,3584,2597, result 5 is 2.790E+11 Matrix order= 5, type=17, seed=3150,3277,3584,2597, result 12 is 6.682E+11 Matrix order= 5, type=18, seed=1198,3649,2662,3957, result 5 is 4.646E+11 Matrix order= 5, type=18, seed=1198,3649,2662,3957, result 12 is 1.313E+12 Matrix order= 5, type=20, seed=3632, 142,2005,1877, result 5 is 1.904E+12 Matrix order= 5, type=20, seed=3632, 142,2005,1877, result 12 is 4.957E+12 Matrix order= 5, type=21, seed=2406,3874, 631,3781, result 5 is 2.191E+09 Matrix order= 5, type=21, seed=2406,3874, 631,3781, result 12 is 5.169E+09 ZCHKGG: ZHGEQZ(E) returned INFO= 3. N= 5, JTYPE= 23, ISEED=( 3973, 3739, 2792, 1873) Matrix order= 5, type=23, seed=3973,3739,2792,1873, result 5 is 4.504E+15 Matrix order= 5, type=24, seed= 871,2053,3644,2353, result 5 is 6.389E+13 Matrix order= 5, type=24, seed= 871,2053,3644,2353, result 12 is 4.259E+13 ZCHKGG: ZHGEQZ(E) returned INFO= 3. N= 5, JTYPE= 25, ISEED=( 3613, 2051, 948, 3857) Matrix order= 5, type=25, seed=3613,2051, 948,3857, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 9. N= 10, JTYPE= 17, ISEED=( 3112, 827, 1844, 257) Matrix order= 10, type=17, seed=3112, 827,1844, 257, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 9. N= 10, JTYPE= 18, ISEED=( 2548, 3287, 2863, 3857) Matrix order= 10, type=18, seed=2548,3287,2863,3857, result 5 is 4.504E+15 Matrix order= 10, type=19, seed=1358,3449,1048,2001, result 5 is 1.475E+12 Matrix order= 10, type=19, seed=1358,3449,1048,2001, result 12 is 1.724E+12 Matrix order= 10, type=20, seed= 762, 406, 826, 145, result 5 is 6.505E+11 Matrix order= 10, type=20, seed= 762, 406, 826, 145, result 12 is 5.892E+11 Matrix order= 10, type=21, seed= 88,1442,3924,2385, result 5 is 1.818E+12 Matrix order= 10, type=21, seed= 88,1442,3924,2385, result 12 is 3.046E+12 ZCHKGG: ZHGEQZ(V) returned INFO= 5. N= 10, JTYPE= 22, ISEED=( 3978, 339, 1822, 3785) Matrix order= 10, type=22, seed=3978, 339,1822,3785, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 23, ISEED=( 2627, 1986, 1036, 2129) Matrix order= 10, type=23, seed=2627,1986,1036,2129, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 6. N= 10, JTYPE= 25, ISEED=( 414, 1096, 1470, 33) Matrix order= 10, type=25, seed= 414,1096,1470, 33, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 15. N= 16, JTYPE= 17, ISEED=( 842, 70, 3499, 1241) Matrix order= 16, type=17, seed= 842, 70,3499,1241, result 5 is 4.504E+15 Matrix order= 16, type=18, seed=2005,3192,2302,2249, result 5 is 172.05 Matrix order= 16, type=18, seed=2005,3192,2302,2249, result 12 is 825.64 ZCHKGG: ZHGEQZ(E) returned INFO= 8. N= 16, JTYPE= 19, ISEED=( 3742, 1684, 3425, 2249) Matrix order= 16, type=19, seed=3742,1684,3425,2249, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 9. N= 16, JTYPE= 20, ISEED=( 2269, 2610, 452, 2249) Matrix order= 16, type=20, seed=2269,2610, 452,2249, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 13. N= 16, JTYPE= 21, ISEED=( 1246, 1872, 1575, 2249) Matrix order= 16, type=21, seed=1246,1872,1575,2249, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 10. N= 16, JTYPE= 22, ISEED=( 2702, 1183, 3479, 249) Matrix order= 16, type=22, seed=2702,1183,3479, 249, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 13. N= 16, JTYPE= 23, ISEED=( 1518, 558, 1661, 3537) Matrix order= 16, type=23, seed=1518, 558,1661,3537, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 12. N= 16, JTYPE= 24, ISEED=( 280, 4055, 3020, 745) Matrix order= 16, type=24, seed= 280,4055,3020, 745, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 15. N= 16, JTYPE= 25, ISEED=( 2432, 2576, 2044, 1601) Matrix order= 16, type=25, seed=2432,2576,2044,1601, result 5 is 4.504E+15 Matrix order= 16, type=26, seed=1851,1924,3217,3545, result 5 is 230.18 Matrix order= 16, type=26, seed=1851,1924,3217,3545, result 10 is 222.77 Matrix order= 16, type=26, seed=1851,1924,3217,3545, result 12 is 382.16 ZGG: 36 out of 2079 tests failed to pass the threshold *** Error code from ZCHKGG = 15 ZDRVGG: ZGEGV returned INFO= 10. N= 10, JTYPE= 17, ISEED=( 1231, 2336, 2198, 1753) ZGG -- Complex Generalized eigenvalue problem driver Matrix types (see ZDRVGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (S is Schur, T is triangular, Q and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - Q S Z* | / ( |A| n ulp ) 2 = | B - Q T Z* | / ( |B| n ulp ) 3 = | I - QQ* | / ( n ulp ) 4 = | I - ZZ* | / ( n ulp ) 5 = difference between (alpha,beta) and diagonals of (S,T) 6 = max | ( b A - a B )* l | / const. 7 = max | ( b A - a B ) r | / const. Matrix order= 10, type=17, seed=1231,2336,2198,1753, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 10. N= 10, JTYPE= 18, ISEED=( 322, 287, 1477, 617) Matrix order= 10, type=18, seed= 322, 287,1477, 617, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 10. N= 10, JTYPE= 20, ISEED=( 2723, 3193, 3979, 2025) Matrix order= 10, type=20, seed=2723,3193,3979,2025, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 7. N= 10, JTYPE= 21, ISEED=( 634, 2449, 1576, 681) Matrix order= 10, type=21, seed= 634,2449,1576, 681, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 6. N= 10, JTYPE= 22, ISEED=( 3505, 965, 2045, 3425) Matrix order= 10, type=22, seed=3505, 965,2045,3425, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 3. N= 10, JTYPE= 23, ISEED=( 2977, 2947, 2370, 2473) Matrix order= 10, type=23, seed=2977,2947,2370,2473, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 9. N= 10, JTYPE= 24, ISEED=( 635, 516, 3095, 561) Matrix order= 10, type=24, seed= 635, 516,3095, 561, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 12. N= 16, JTYPE= 17, ISEED=( 75, 3661, 2089, 241) Matrix order= 16, type=17, seed= 75,3661,2089, 241, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 11. N= 16, JTYPE= 18, ISEED=( 2670, 132, 428, 1889) Matrix order= 16, type=18, seed=2670, 132, 428,1889, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 14. N= 16, JTYPE= 19, ISEED=( 864, 3448, 151, 1889) Matrix order= 16, type=19, seed= 864,3448, 151,1889, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 15. N= 16, JTYPE= 20, ISEED=( 3127, 1476, 3970, 1889) Matrix order= 16, type=20, seed=3127,1476,3970,1889, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 16. N= 16, JTYPE= 21, ISEED=( 388, 2410, 3693, 1889) Matrix order= 16, type=21, seed= 388,2410,3693,1889, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 11. N= 16, JTYPE= 22, ISEED=( 1176, 413, 1114, 2065) Matrix order= 16, type=22, seed=1176, 413,1114,2065, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 10. N= 16, JTYPE= 23, ISEED=( 965, 2985, 718, 809) Matrix order= 16, type=23, seed= 965,2985, 718, 809, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 10. N= 16, JTYPE= 25, ISEED=( 310, 3008, 2985, 2585) Matrix order= 16, type=25, seed= 310,3008,2985,2585, result 1 is 4.504E+15 ZGG drivers: 15 out of 1209 tests failed to pass the threshold *** Error code from ZDRVGG = 10 ZGG: NB = 1, NBMIN = 40, NS = 4, MAXB = 40, NBCOL = 40 ZCHKGG: ZHGEQZ(V) returned INFO= 4. N= 5, JTYPE= 17, ISEED=( 4031, 2858, 463, 469) ZGG -- Complex Generalized eigenvalue problem Matrix types (see ZCHKGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (H is Hessenberg, S is Schur, B, T, P are triangular, U, V, Q, and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - U H V* | / ( |A| n ulp ) 2 = | B - U T V* | / ( |B| n ulp ) 3 = | I - UU* | / ( n ulp ) 4 = | I - VV* | / ( n ulp ) 5 = | H - Q S Z* | / ( |H| n ulp ) 6 = | T - Q P Z* | / ( |T| n ulp ) 7 = | I - QQ* | / ( n ulp ) 8 = | I - ZZ* | / ( n ulp ) 9 = max | ( b S - a P )* l | / const. 10 = max | ( b H - a T )* l | / const. 11= max | ( b S - a P ) r | / const. 12 = max | ( b H - a T ) r | / const. Matrix order= 5, type=17, seed=4031,2858, 463, 469, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 5. N= 5, JTYPE= 19, ISEED=( 2625, 2587, 1736, 2197) Matrix order= 5, type=19, seed=2625,2587,1736,2197, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 4. N= 5, JTYPE= 21, ISEED=( 2577, 1945, 4069, 3189) Matrix order= 5, type=21, seed=2577,1945,4069,3189, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 10. N= 10, JTYPE= 17, ISEED=( 598, 1490, 535, 753) Matrix order= 10, type=17, seed= 598,1490, 535, 753, result 5 is 4.504E+15 Matrix order= 10, type=18, seed=1621,3915,1623, 1, result 5 is 5.989E+13 Matrix order= 10, type=18, seed=1621,3915,1623, 1, result 12 is 1.377E+14 Matrix order= 10, type=19, seed= 259,3819,1230,3265, result 5 is 4.185E+12 Matrix order= 10, type=19, seed= 259,3819,1230,3265, result 12 is 1.540E+13 ZCHKGG: ZHGEQZ(V) returned INFO= 5. N= 10, JTYPE= 22, ISEED=( 652, 1988, 45, 1081) Matrix order= 10, type=22, seed= 652,1988, 45,1081, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 4. N= 10, JTYPE= 24, ISEED=( 3564, 3280, 1992, 2185) Matrix order= 10, type=24, seed=3564,3280,1992,2185, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 25, ISEED=( 2759, 1485, 2150, 17) Matrix order= 10, type=25, seed=2759,1485,2150, 17, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 12. N= 16, JTYPE= 17, ISEED=( 2639, 693, 3829, 2377) Matrix order= 16, type=17, seed=2639, 693,3829,2377, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 7. N= 16, JTYPE= 18, ISEED=( 1573, 1937, 2898, 3641) Matrix order= 16, type=18, seed=1573,1937,2898,3641, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 15. N= 16, JTYPE= 19, ISEED=( 1450, 1, 3973, 3641) Matrix order= 16, type=19, seed=1450, 1,3973,3641, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 16. N= 16, JTYPE= 20, ISEED=( 1647, 3043, 952, 3641) Matrix order= 16, type=20, seed=1647,3043, 952,3641, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 16. N= 16, JTYPE= 21, ISEED=( 2065, 2869, 2027, 3641) Matrix order= 16, type=21, seed=2065,2869,2027,3641, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 5. N= 16, JTYPE= 22, ISEED=( 3416, 3471, 2089, 873) Matrix order= 16, type=22, seed=3416,3471,2089, 873, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 14. N= 16, JTYPE= 23, ISEED=( 3238, 240, 926, 705) Matrix order= 16, type=23, seed=3238, 240, 926, 705, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 13. N= 16, JTYPE= 24, ISEED=( 2611, 3762, 1290, 1625) Matrix order= 16, type=24, seed=2611,3762,1290,1625, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 14. N= 16, JTYPE= 25, ISEED=( 1290, 3576, 3074, 1073) Matrix order= 16, type=25, seed=1290,3576,3074,1073, result 5 is 4.504E+15 ZGG: 20 out of 2072 tests failed to pass the threshold *** Error code from ZCHKGG = 14 ZDRVGG: ZGEGV returned INFO= 5. N= 5, JTYPE= 22, ISEED=( 2042, 1387, 3759, 825) ZGG -- Complex Generalized eigenvalue problem driver Matrix types (see ZDRVGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (S is Schur, T is triangular, Q and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - Q S Z* | / ( |A| n ulp ) 2 = | B - Q T Z* | / ( |B| n ulp ) 3 = | I - QQ* | / ( n ulp ) 4 = | I - ZZ* | / ( n ulp ) 5 = difference between (alpha,beta) and diagonals of (S,T) 6 = max | ( b A - a B )* l | / const. 7 = max | ( b A - a B ) r | / const. Matrix order= 5, type=22, seed=2042,1387,3759, 825, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 4. N= 5, JTYPE= 23, ISEED=( 1891, 1197, 2441, 2073) Matrix order= 5, type=23, seed=1891,1197,2441,2073, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 3. N= 5, JTYPE= 25, ISEED=( 3030, 3547, 1872, 3545) Matrix order= 5, type=25, seed=3030,3547,1872,3545, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 10. N= 10, JTYPE= 17, ISEED=( 3591, 318, 2414, 2889) Matrix order= 10, type=17, seed=3591, 318,2414,2889, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 8. N= 10, JTYPE= 18, ISEED=( 757, 2322, 3939, 3545) Matrix order= 10, type=18, seed= 757,2322,3939,3545, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 9. N= 10, JTYPE= 19, ISEED=( 2304, 910, 843, 3225) Matrix order= 10, type=19, seed=2304, 910, 843,3225, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 7. N= 10, JTYPE= 21, ISEED=( 795, 965, 158, 2585) Matrix order= 10, type=21, seed= 795, 965, 158,2585, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 8. N= 10, JTYPE= 22, ISEED=( 3454, 2343, 2896, 2385) Matrix order= 10, type=22, seed=3454,2343,2896,2385, result 6 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 8. N= 10, JTYPE= 23, ISEED=( 724, 3393, 754, 281) Matrix order= 10, type=23, seed= 724,3393, 754, 281, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 5. N= 10, JTYPE= 24, ISEED=( 2876, 421, 943, 289) Matrix order= 10, type=24, seed=2876, 421, 943, 289, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 9. N= 10, JTYPE= 25, ISEED=( 2028, 2845, 2920, 2921) Matrix order= 10, type=25, seed=2028,2845,2920,2921, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 13. N= 16, JTYPE= 17, ISEED=( 3015, 2627, 3450, 993) Matrix order= 16, type=17, seed=3015,2627,3450, 993, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 7. N= 16, JTYPE= 18, ISEED=( 2115, 300, 3925, 849) Matrix order= 16, type=18, seed=2115, 300,3925, 849, result 6 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 15. N= 16, JTYPE= 19, ISEED=( 913, 2155, 1424, 849) Matrix order= 16, type=19, seed= 913,2155,1424, 849, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 9. N= 16, JTYPE= 20, ISEED=( 1879, 1906, 3019, 849) Matrix order= 16, type=20, seed=1879,1906,3019, 849, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 13. N= 16, JTYPE= 21, ISEED=( 3319, 3651, 518, 849) Matrix order= 16, type=21, seed=3319,3651, 518, 849, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 15. N= 16, JTYPE= 22, ISEED=( 17, 2983, 1528, 2305) Matrix order= 16, type=22, seed= 17,2983,1528,2305, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 13. N= 16, JTYPE= 23, ISEED=( 2608, 3613, 244, 665) Matrix order= 16, type=23, seed=2608,3613, 244, 665, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 12. N= 16, JTYPE= 24, ISEED=( 3462, 3117, 508, 1649) Matrix order= 16, type=24, seed=3462,3117, 508,1649, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 12. N= 16, JTYPE= 25, ISEED=( 3899, 4018, 3766, 2697) Matrix order= 16, type=25, seed=3899,4018,3766,2697, result 1 is 4.504E+15 ZGG drivers: 20 out of 1184 tests failed to pass the threshold *** Error code from ZDRVGG = 12 ZGG: NB = 2, NBMIN = 2, NS = 2, MAXB = 2, NBCOL = 2 ZCHKGG: ZHGEQZ(E) returned INFO= 5. N= 5, JTYPE= 17, ISEED=( 2724, 2876, 1131, 3717) ZGG -- Complex Generalized eigenvalue problem Matrix types (see ZCHKGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (H is Hessenberg, S is Schur, B, T, P are triangular, U, V, Q, and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - U H V* | / ( |A| n ulp ) 2 = | B - U T V* | / ( |B| n ulp ) 3 = | I - UU* | / ( n ulp ) 4 = | I - VV* | / ( n ulp ) 5 = | H - Q S Z* | / ( |H| n ulp ) 6 = | T - Q P Z* | / ( |T| n ulp ) 7 = | I - QQ* | / ( n ulp ) 8 = | I - ZZ* | / ( n ulp ) 9 = max | ( b S - a P )* l | / const. 10 = max | ( b H - a T )* l | / const. 11= max | ( b S - a P ) r | / const. 12 = max | ( b H - a T ) r | / const. Matrix order= 5, type=17, seed=2724,2876,1131,3717, result 5 is 4.504E+15 Matrix order= 5, type=18, seed=1782,2527,1264,2517, result 5 is 3.047E+11 Matrix order= 5, type=18, seed=1782,2527,1264,2517, result 12 is 6.299E+11 ZCHKGG: ZHGEQZ(E) returned INFO= 5. N= 5, JTYPE= 25, ISEED=( 3168, 107, 464, 497) Matrix order= 5, type=25, seed=3168, 107, 464, 497, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 6. N= 10, JTYPE= 17, ISEED=( 1404, 1204, 3270, 1505) Matrix order= 10, type=17, seed=1404,1204,3270,1505, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 10. N= 10, JTYPE= 18, ISEED=( 1371, 3123, 235, 497) Matrix order= 10, type=18, seed=1371,3123, 235, 497, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 19, ISEED=( 1536, 2138, 2686, 689) Matrix order= 10, type=19, seed=1536,2138,2686, 689, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 8. N= 10, JTYPE= 20, ISEED=( 2572, 39, 42, 881) Matrix order= 10, type=20, seed=2572, 39, 42, 881, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 9. N= 10, JTYPE= 21, ISEED=( 2098, 667, 175, 1073) Matrix order= 10, type=21, seed=2098, 667, 175,1073, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 3. N= 10, JTYPE= 23, ISEED=( 345, 1774, 537, 817) Matrix order= 10, type=23, seed= 345,1774, 537, 817, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 6. N= 10, JTYPE= 24, ISEED=( 872, 932, 117, 505) Matrix order= 10, type=24, seed= 872, 932, 117, 505, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 4. N= 10, JTYPE= 25, ISEED=( 1773, 3203, 76, 257) Matrix order= 10, type=25, seed=1773,3203, 76, 257, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 7. N= 16, JTYPE= 17, ISEED=( 2929, 1572, 489, 1721) Matrix order= 16, type=17, seed=2929,1572, 489,1721, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 13. N= 16, JTYPE= 18, ISEED=( 421, 3186, 1743, 3241) Matrix order= 16, type=18, seed= 421,3186,1743,3241, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 12. N= 16, JTYPE= 19, ISEED=( 236, 1328, 3538, 3241) Matrix order= 16, type=19, seed= 236,1328,3538,3241, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 8. N= 16, JTYPE= 20, ISEED=( 3986, 3152, 1237, 3241) Matrix order= 16, type=20, seed=3986,3152,1237,3241, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 14. N= 16, JTYPE= 21, ISEED=( 2436, 464, 3032, 3241) Matrix order= 16, type=21, seed=2436, 464,3032,3241, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 5. N= 16, JTYPE= 22, ISEED=( 2030, 1917, 1958, 3801) Matrix order= 16, type=22, seed=2030,1917,1958,3801, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 14. N= 16, JTYPE= 23, ISEED=( 2612, 2024, 791, 2225) Matrix order= 16, type=23, seed=2612,2024, 791,2225, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 11. N= 16, JTYPE= 24, ISEED=( 3197, 3970, 1171, 713) Matrix order= 16, type=24, seed=3197,3970,1171, 713, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 15. N= 16, JTYPE= 25, ISEED=( 1991, 2627, 808, 801) Matrix order= 16, type=25, seed=1991,2627, 808, 801, result 5 is 4.504E+15 Matrix order= 16, type=26, seed= 390,2690,2253,4025, result 5 is 599.35 Matrix order= 16, type=26, seed= 390,2690,2253,4025, result 10 is 401.77 Matrix order= 16, type=26, seed= 390,2690,2253,4025, result 12 is 1615.75 ZGG: 24 out of 2051 tests failed to pass the threshold *** Error code from ZCHKGG = 15 ZDRVGG: ZGEGS returned INFO= 3. N= 5, JTYPE= 19, ISEED=( 2466, 3383, 1519, 3197) ZGG -- Complex Generalized eigenvalue problem driver Matrix types (see ZDRVGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (S is Schur, T is triangular, Q and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - Q S Z* | / ( |A| n ulp ) 2 = | B - Q T Z* | / ( |B| n ulp ) 3 = | I - QQ* | / ( n ulp ) 4 = | I - ZZ* | / ( n ulp ) 5 = difference between (alpha,beta) and diagonals of (S,T) 6 = max | ( b A - a B )* l | / const. 7 = max | ( b A - a B ) r | / const. Matrix order= 5, type=19, seed=2466,3383,1519,3197, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 3. N= 5, JTYPE= 22, ISEED=( 2709, 2598, 263, 425) Matrix order= 5, type=22, seed=2709,2598, 263, 425, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 3. N= 5, JTYPE= 23, ISEED=( 2013, 3277, 1624, 2185) Matrix order= 5, type=23, seed=2013,3277,1624,2185, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 5. N= 5, JTYPE= 25, ISEED=( 494, 235, 3426, 585) Matrix order= 5, type=25, seed= 494, 235,3426, 585, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 9. N= 10, JTYPE= 17, ISEED=( 3227, 1941, 3856, 2233) Matrix order= 10, type=17, seed=3227,1941,3856,2233, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 7. N= 10, JTYPE= 18, ISEED=( 2621, 3577, 2629, 585) Matrix order= 10, type=18, seed=2621,3577,2629, 585, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 8. N= 10, JTYPE= 19, ISEED=( 1898, 501, 2694, 1289) Matrix order= 10, type=19, seed=1898, 501,2694,1289, result 6 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 3. N= 10, JTYPE= 20, ISEED=( 929, 1650, 248, 1993) Matrix order= 10, type=20, seed= 929,1650, 248,1993, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 4. N= 10, JTYPE= 21, ISEED=( 363, 3556, 3675, 2697) Matrix order= 10, type=21, seed= 363,3556,3675,2697, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 5. N= 10, JTYPE= 22, ISEED=( 4009, 3113, 3765, 1601) Matrix order= 10, type=22, seed=4009,3113,3765,1601, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 10. N= 10, JTYPE= 23, ISEED=( 1039, 2326, 3672, 393) Matrix order= 10, type=23, seed=1039,2326,3672, 393, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 9. N= 10, JTYPE= 24, ISEED=( 1443, 2046, 3430, 273) Matrix order= 10, type=24, seed=1443,2046,3430, 273, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 9. N= 10, JTYPE= 25, ISEED=( 1179, 3214, 1518, 1753) Matrix order= 10, type=25, seed=1179,3214,1518,1753, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 14. N= 16, JTYPE= 17, ISEED=( 1203, 2225, 3030, 2001) Matrix order= 16, type=17, seed=1203,2225,3030,2001, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 14. N= 16, JTYPE= 18, ISEED=( 450, 3502, 944, 65) Matrix order= 16, type=18, seed= 450,3502, 944, 65, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 5. N= 16, JTYPE= 19, ISEED=( 1343, 3257, 3131, 65) Matrix order= 16, type=19, seed=1343,3257,3131, 65, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 11. N= 16, JTYPE= 20, ISEED=( 2521, 2302, 1222, 65) Matrix order= 16, type=20, seed=2521,2302,1222, 65, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 4. N= 16, JTYPE= 21, ISEED=( 2243, 635, 3409, 65) Matrix order= 16, type=21, seed=2243, 635,3409, 65, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 14. N= 16, JTYPE= 22, ISEED=( 3860, 2921, 3475, 2801) Matrix order= 16, type=22, seed=3860,2921,3475,2801, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 11. N= 16, JTYPE= 23, ISEED=( 3383, 685, 1640, 2825) Matrix order= 16, type=23, seed=3383, 685,1640,2825, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 13. N= 16, JTYPE= 24, ISEED=( 15, 1505, 1736, 353) Matrix order= 16, type=24, seed= 15,1505,1736, 353, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 12. N= 16, JTYPE= 25, ISEED=( 1433, 821, 3265, 1017) Matrix order= 16, type=25, seed=1433, 821,3265,1017, result 1 is 4.504E+15 ZGG drivers: 22 out of 1152 tests failed to pass the threshold *** Error code from ZDRVGG = 12 ZGG: NB = 2, NBMIN = 2, NS = 4, MAXB = 2, NBCOL = 2 ZGG -- Complex Generalized eigenvalue problem Matrix types (see ZCHKGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (H is Hessenberg, S is Schur, B, T, P are triangular, U, V, Q, and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - U H V* | / ( |A| n ulp ) 2 = | B - U T V* | / ( |B| n ulp ) 3 = | I - UU* | / ( n ulp ) 4 = | I - VV* | / ( n ulp ) 5 = | H - Q S Z* | / ( |H| n ulp ) 6 = | T - Q P Z* | / ( |T| n ulp ) 7 = | I - QQ* | / ( n ulp ) 8 = | I - ZZ* | / ( n ulp ) 9 = max | ( b S - a P )* l | / const. 10 = max | ( b H - a T )* l | / const. 11= max | ( b S - a P ) r | / const. 12 = max | ( b H - a T ) r | / const. Matrix order= 5, type=17, seed=1915,2136,2450, 53, result 5 is 4.391E+13 Matrix order= 5, type=17, seed=1915,2136,2450, 53, result 12 is 8.535E+13 Matrix order= 5, type=20, seed=2617, 913,1978,1125, result 5 is 1.082E+11 Matrix order= 5, type=20, seed=2617, 913,1978,1125, result 12 is 3.135E+11 ZCHKGG: ZHGEQZ(S) returned INFO= 5. N= 5, JTYPE= 21, ISEED=( 165, 619, 2213, 1749) Matrix order= 5, type=21, seed= 165, 619,2213,1749, result 5 is 4.504E+15 Matrix order= 5, type=24, seed=1089,1487,3707,2305, result 5 is 5.488E+10 Matrix order= 5, type=24, seed=1089,1487,3707,2305, result 12 is 1.599E+11 ZCHKGG: ZHGEQZ(V) returned INFO= 10. N= 10, JTYPE= 17, ISEED=( 3292, 365, 1696, 2513) Matrix order= 10, type=17, seed=3292, 365,1696,2513, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 4. N= 10, JTYPE= 18, ISEED=( 3242, 785, 571, 1249) Matrix order= 10, type=18, seed=3242, 785, 571,1249, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 9. N= 10, JTYPE= 20, ISEED=( 3368, 3418, 440, 3681) Matrix order= 10, type=20, seed=3368,3418, 440,3681, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 9. N= 10, JTYPE= 21, ISEED=( 408, 1546, 1797, 801) Matrix order= 10, type=21, seed= 408,1546,1797, 801, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 10. N= 10, JTYPE= 22, ISEED=( 3599, 71, 890, 2585) Matrix order= 10, type=22, seed=3599, 71, 890,2585, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 6. N= 10, JTYPE= 23, ISEED=( 605, 3553, 432, 545) Matrix order= 10, type=23, seed= 605,3553, 432, 545, result 5 is 4.504E+15 Matrix order= 10, type=24, seed= 586, 836,3398,1129, result 5 is 2.304E+07 Matrix order= 10, type=24, seed= 586, 836,3398,1129, result 12 is 2.464E+07 ZCHKGG: ZHGEQZ(E) returned INFO= 7. N= 10, JTYPE= 25, ISEED=( 596, 3619, 2479, 753) Matrix order= 10, type=25, seed= 596,3619,2479, 753, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 14. N= 16, JTYPE= 17, ISEED=( 1459, 411, 781, 3369) Matrix order= 16, type=17, seed=1459, 411, 781,3369, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 14. N= 16, JTYPE= 18, ISEED=( 3156, 648, 3596, 1049) Matrix order= 16, type=18, seed=3156, 648,3596,1049, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 10. N= 16, JTYPE= 19, ISEED=( 3976, 3660, 2783, 1049) Matrix order= 16, type=19, seed=3976,3660,2783,1049, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 12. N= 16, JTYPE= 20, ISEED=( 1903, 1121, 1970, 1049) Matrix order= 16, type=20, seed=1903,1121,1970,1049, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 7. N= 16, JTYPE= 21, ISEED=( 1858, 1223, 1157, 1049) Matrix order= 16, type=21, seed=1858,1223,1157,1049, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 16. N= 16, JTYPE= 22, ISEED=( 644, 2288, 2167, 841) Matrix order= 16, type=22, seed= 644,2288,2167, 841, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 8. N= 16, JTYPE= 23, ISEED=( 4082, 643, 1400, 4001) Matrix order= 16, type=23, seed=4082, 643,1400,4001, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(V) returned INFO= 10. N= 16, JTYPE= 24, ISEED=( 1083, 2820, 3805, 2105) Matrix order= 16, type=24, seed=1083,2820,3805,2105, result 5 is 4.504E+15 ZCHKGG: ZHGEQZ(E) returned INFO= 8. N= 16, JTYPE= 25, ISEED=( 3999, 208, 3981, 785) Matrix order= 16, type=25, seed=3999, 208,3981, 785, result 5 is 4.504E+15 ZGG: 25 out of 2065 tests failed to pass the threshold *** Error code from ZCHKGG = 8 ZDRVGG: ZGEGS returned INFO= 3. N= 5, JTYPE= 17, ISEED=( 752, 1322, 3299, 3565) ZGG -- Complex Generalized eigenvalue problem driver Matrix types (see ZDRVGG for details): Special Matrices: (J'=transposed Jordan block) 1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J')) Diagonal Matrices: ( D=diag(0,1,2,...) ) 7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I) 8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I) 15=(D, reversed D) Matrices Rotated by Random Unitary Matrices U, V: 16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1 17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1 18=clustered alpha, beta=0,1 21=random alpha, beta=0,1 Large & Small Matrices: 22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large) 26=random O(1) matrices. Tests performed: (S is Schur, T is triangular, Q and Z are unitary, l and r are the appropriate left and right eigenvectors, resp., a is alpha, b is beta, and * means conjugate transpose.) 1 = | A - Q S Z* | / ( |A| n ulp ) 2 = | B - Q T Z* | / ( |B| n ulp ) 3 = | I - QQ* | / ( n ulp ) 4 = | I - ZZ* | / ( n ulp ) 5 = difference between (alpha,beta) and diagonals of (S,T) 6 = max | ( b A - a B )* l | / const. 7 = max | ( b A - a B ) r | / const. Matrix order= 5, type=17, seed= 752,1322,3299,3565, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 4. N= 5, JTYPE= 18, ISEED=( 1769, 3157, 773, 1981) Matrix order= 5, type=18, seed=1769,3157, 773,1981, result 6 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 4. N= 5, JTYPE= 21, ISEED=( 647, 496, 3898, 2957) Matrix order= 5, type=21, seed= 647, 496,3898,2957, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 10. N= 10, JTYPE= 17, ISEED=( 2150, 113, 1026, 3881) Matrix order= 10, type=17, seed=2150, 113,1026,3881, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 5. N= 10, JTYPE= 19, ISEED=( 3889, 1749, 1254, 1657) Matrix order= 10, type=19, seed=3889,1749,1254,1657, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 7. N= 10, JTYPE= 20, ISEED=( 2138, 442, 909, 3385) Matrix order= 10, type=20, seed=2138, 442, 909,3385, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 9. N= 10, JTYPE= 21, ISEED=( 1536, 2768, 3094, 1017) Matrix order= 10, type=21, seed=1536,2768,3094,1017, result 1 is 4.504E+15 ZDRVGG: ZGEGV returned INFO= 9. N= 10, JTYPE= 22, ISEED=( 288, 3638, 2347, 1073) Matrix order= 10, type=22, seed= 288,3638,2347,1073, result 6 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 5. N= 10, JTYPE= 23, ISEED=( 2111, 180, 299, 2809) Matrix order= 10, type=23, seed=2111, 180, 299,2809, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 8. N= 10, JTYPE= 24, ISEED=( 3306, 2399, 2411, 513) Matrix order= 10, type=24, seed=3306,2399,2411, 513, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 7. N= 10, JTYPE= 25, ISEED=( 3783, 3802, 326, 2889) Matrix order= 10, type=25, seed=3783,3802, 326,2889, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 11. N= 16, JTYPE= 17, ISEED=( 1200, 651, 3244, 3265) Matrix order= 16, type=17, seed=1200, 651,3244,3265, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 16. N= 16, JTYPE= 18, ISEED=( 1769, 3903, 3003, 3633) Matrix order= 16, type=18, seed=1769,3903,3003,3633, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 16. N= 16, JTYPE= 19, ISEED=( 2389, 3280, 406, 3633) Matrix order= 16, type=19, seed=2389,3280, 406,3633, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 10. N= 16, JTYPE= 20, ISEED=( 2972, 1545, 1905, 3633) Matrix order= 16, type=20, seed=2972,1545,1905,3633, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 12. N= 16, JTYPE= 21, ISEED=( 2496, 2795, 3404, 3633) Matrix order= 16, type=21, seed=2496,2795,3404,3633, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 12. N= 16, JTYPE= 22, ISEED=( 1333, 3890, 2426, 3553) Matrix order= 16, type=22, seed=1333,3890,2426,3553, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 12. N= 16, JTYPE= 23, ISEED=( 3578, 2518, 3938, 3193) Matrix order= 16, type=23, seed=3578,2518,3938,3193, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 13. N= 16, JTYPE= 24, ISEED=( 3402, 3335, 502, 3409) Matrix order= 16, type=24, seed=3402,3335, 502,3409, result 1 is 4.504E+15 ZDRVGG: ZGEGS returned INFO= 15. N= 16, JTYPE= 25, ISEED=( 1265, 1204, 1296, 1641) Matrix order= 16, type=25, seed=1265,1204,1296,1641, result 1 is 4.504E+15 ZGG drivers: 20 out of 1174 tests failed to pass the threshold *** Error code from ZDRVGG = 15 End of tests Total time used = 1.32 seconds ______________________________________________ best regards Katrin
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