17 September 2021 11:53:49.808 PM TEST_EIGEN_TEST FORTRAN90 version Test the TEST_EIGEN library. R8SYMM_GEN_TEST R8SYMM_GEN generates an arbitrary size symmetric matrix with known eigenvalues and eigenvectors. Real data is declared as "REAL ( kind = rk )". LAMBDA_MIN = -1.83804 LAMBDA_MAX = 3.64456 Lambda bins: Index Lower Limit Count Upper Limit 0 0 -1.83804 1 -1.83804 1 -1.28978 2 -1.28978 5 -0.741520 3 -0.741520 6 -0.193259 4 -0.193259 8 0.355001 5 0.355001 25 0.903262 6 0.903262 21 1.45152 7 1.45152 13 1.99978 8 1.99978 13 2.54804 9 2.54804 6 3.09630 10 3.09630 1 3.64456 11 3.64456 1 LAMBDA versus the column norms of A*Q: 1 2.67904 2.67904 2 0.527231 0.527231 3 0.433940 0.433940 4 0.768876 0.768876 5 2.21293 2.21293 6 1.53504 1.53504 7 2.26938 2.26938 8 2.04954 2.04954 9 -0.666087 0.666087 10 -0.865228 0.865228 11 -1.24246 1.24246 12 1.73581 1.73581 13 1.03967 1.03967 14 -0.350736 0.350736 15 1.67307 1.67307 16 1.00777 1.00777 17 0.724873 0.724873 18 1.37494 1.37494 19 3.16400 3.16400 20 1.18560 1.18560 21 1.29779 1.29779 22 0.536242 0.536242 23 3.04454 3.04454 24 1.09658 1.09658 25 2.39882 2.39882 26 0.142606 0.142606 27 -0.242985 0.242985 28 2.67452 2.67452 29 0.932916 0.932916 30 1.62078 1.62078 31 0.205604 0.205604 32 0.675837 0.675837 33 0.476232 0.476232 34 1.15648 1.15648 35 0.649433 0.649433 36 0.752243 0.752243 37 1.13170 1.13170 38 -0.820756 0.820756 39 1.53738 1.53738 40 2.24857 2.24857 41 0.293584 0.293584 42 1.78100 1.78100 43 0.366553 0.366553 44 1.75090 1.75090 45 0.610616 0.610616 46 -0.715215 0.715215 47 0.369065 0.369065 48 2.97003 2.97003 49 1.28042 1.28042 50 0.446734 0.446734 51 0.424510 0.424510 52 -1.28791 1.28791 53 1.38554 1.38554 54 -1.16928 1.16928 55 0.723680 0.723680 56 1.71525 1.71525 57 1.03913 1.03913 58 0.541106 0.541106 59 0.384708 0.384708 60 1.40711 1.40711 61 0.671167 0.671167 62 0.864788 0.864788 63 -1.83804 1.83804 64 0.980327 0.980327 65 -0.710951 0.710951 66 2.84855 2.84855 67 2.01779 2.01779 68 -0.253012 0.253012 69 3.64456 3.64456 70 1.29099 1.29099 71 2.46052 2.46052 72 2.27655 2.27655 73 2.05497 2.05497 74 1.98208 1.98208 75 1.40995 1.40995 76 2.72782 2.72782 77 1.36145 1.36145 78 0.789642E-01 0.789642E-01 79 1.22203 1.22203 80 2.00790 2.00790 81 0.878680 0.878680 82 0.283714 0.283714 83 1.77779 1.77779 84 -0.437906E-03 0.437906E-03 85 1.28288 1.28288 86 0.818117 0.818117 87 2.12355 2.12355 88 1.21575 1.21575 89 0.682151 0.682151 90 2.16725 2.16725 91 0.776590 0.776590 92 0.606361 0.606361 93 1.73471 1.73471 94 2.11009 2.11009 95 1.58892 1.58892 96 0.866045 0.866045 97 0.254638 0.254638 98 1.21098 1.21098 99 0.231283 0.231283 100 1.50962 1.50962 R8NSYMM_GEN_TEST R8NSYMM_GEN generates an arbitrary size nonsymmetric matrix with known eigenvalues and eigenvectors. Real data is declared as "REAL ( kind = rk )". LAMBDA_MIN = -1.83804 LAMBDA_MAX = 3.64456 Lambda bins: Index Lower Limit Count Upper Limit 0 0 -1.83804 1 -1.83804 1 -1.28978 2 -1.28978 5 -0.741520 3 -0.741520 6 -0.193259 4 -0.193259 8 0.355001 5 0.355001 25 0.903262 6 0.903262 21 1.45152 7 1.45152 13 1.99978 8 1.99978 13 2.54804 9 2.54804 6 3.09630 10 3.09630 1 3.64456 11 3.64456 1 LAMBDA versus the column norms of A*Q: 1 2.67904 2.67904 2 0.527231 0.527231 3 0.433940 0.433940 4 0.768876 0.768876 5 2.21293 2.21293 6 1.53504 1.53504 7 2.26938 2.26938 8 2.04954 2.04954 9 -0.666087 0.666087 10 -0.865228 0.865228 11 -1.24246 1.24246 12 1.73581 1.73581 13 1.03967 1.03967 14 -0.350736 0.350736 15 1.67307 1.67307 16 1.00777 1.00777 17 0.724873 0.724873 18 1.37494 1.37494 19 3.16400 3.16400 20 1.18560 1.18560 21 1.29779 1.29779 22 0.536242 0.536242 23 3.04454 3.04454 24 1.09658 1.09658 25 2.39882 2.39882 26 0.142606 0.142606 27 -0.242985 0.242985 28 2.67452 2.67452 29 0.932916 0.932916 30 1.62078 1.62078 31 0.205604 0.205604 32 0.675837 0.675837 33 0.476232 0.476232 34 1.15648 1.15648 35 0.649433 0.649433 36 0.752243 0.752243 37 1.13170 1.13170 38 -0.820756 0.820756 39 1.53738 1.53738 40 2.24857 2.24857 41 0.293584 0.293584 42 1.78100 1.78100 43 0.366553 0.366553 44 1.75090 1.75090 45 0.610616 0.610616 46 -0.715215 0.715215 47 0.369065 0.369065 48 2.97003 2.97003 49 1.28042 1.28042 50 0.446734 0.446734 51 0.424510 0.424510 52 -1.28791 1.28791 53 1.38554 1.38554 54 -1.16928 1.16928 55 0.723680 0.723680 56 1.71525 1.71525 57 1.03913 1.03913 58 0.541106 0.541106 59 0.384708 0.384708 60 1.40711 1.40711 61 0.671167 0.671167 62 0.864788 0.864788 63 -1.83804 1.83804 64 0.980327 0.980327 65 -0.710951 0.710951 66 2.84855 2.84855 67 2.01779 2.01779 68 -0.253012 0.253012 69 3.64456 3.64456 70 1.29099 1.29099 71 2.46052 2.46052 72 2.27655 2.27655 73 2.05497 2.05497 74 1.98208 1.98208 75 1.40995 1.40995 76 2.72782 2.72782 77 1.36145 1.36145 78 0.789642E-01 0.789642E-01 79 1.22203 1.22203 80 2.00790 2.00790 81 0.878680 0.878680 82 0.283714 0.283714 83 1.77779 1.77779 84 -0.437906E-03 0.437906E-03 85 1.28288 1.28288 86 0.818117 0.818117 87 2.12355 2.12355 88 1.21575 1.21575 89 0.682151 0.682151 90 2.16725 2.16725 91 0.776590 0.776590 92 0.606361 0.606361 93 1.73471 1.73471 94 2.11009 2.11009 95 1.58892 1.58892 96 0.866045 0.866045 97 0.254638 0.254638 98 1.21098 1.21098 99 0.231283 0.231283 100 1.50962 1.50962 TEST_EIGEN_TEST Normal end of execution. 17 September 2021 11:53:49.838 PM