09 March 2018 03:08:13 PM TEST_EIGEN_TEST C++ version Test the TEST_EIGEN library. R8SYMM_GEN_TEST R8SYMM_GEN generates an arbitrary size symmetric matrix with known eigenvalues and eigenvectors. 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 -0.74152 3 -0.74152 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 3.0963 10 3.0963 1 3.64456 11 3.64456 1 LAMBDA versus the column norms of A*Q: 0: 2.67904 2.67904 1: 0.527231 0.527231 2: 0.43394 0.43394 3: 0.768876 0.768876 4: 2.21293 2.21293 5: 1.53504 1.53504 6: 2.26938 2.26938 7: 2.04954 2.04954 8: -0.666087 0.666087 9: -0.865228 0.865228 10: -1.24246 1.24246 11: 1.73581 1.73581 12: 1.03967 1.03967 13: -0.350736 0.350736 14: 1.67307 1.67307 15: 1.00777 1.00777 16: 0.724873 0.724873 17: 1.37494 1.37494 18: 3.164 3.164 19: 1.1856 1.1856 20: 1.29779 1.29779 21: 0.536242 0.536242 22: 3.04454 3.04454 23: 1.09658 1.09658 24: 2.39882 2.39882 25: 0.142606 0.142606 26: -0.242985 0.242985 27: 2.67452 2.67452 28: 0.932916 0.932916 29: 1.62078 1.62078 30: 0.205604 0.205604 31: 0.675837 0.675837 32: 0.476232 0.476232 33: 1.15648 1.15648 34: 0.649433 0.649433 35: 0.752243 0.752243 36: 1.1317 1.1317 37: -0.820756 0.820756 38: 1.53738 1.53738 39: 2.24857 2.24857 40: 0.293584 0.293584 41: 1.781 1.781 42: 0.366553 0.366553 43: 1.7509 1.7509 44: 0.610616 0.610616 45: -0.715215 0.715215 46: 0.369065 0.369065 47: 2.97003 2.97003 48: 1.28042 1.28042 49: 0.446734 0.446734 50: 0.42451 0.42451 51: -1.28791 1.28791 52: 1.38554 1.38554 53: -1.16928 1.16928 54: 0.72368 0.72368 55: 1.71525 1.71525 56: 1.03913 1.03913 57: 0.541106 0.541106 58: 0.384708 0.384708 59: 1.40711 1.40711 60: 0.671167 0.671167 61: 0.864788 0.864788 62: -1.83804 1.83804 63: 0.980327 0.980327 64: -0.710951 0.710951 65: 2.84855 2.84855 66: 2.01779 2.01779 67: -0.253012 0.253012 68: 3.64456 3.64456 69: 1.29099 1.29099 70: 2.46052 2.46052 71: 2.27655 2.27655 72: 2.05497 2.05497 73: 1.98208 1.98208 74: 1.40995 1.40995 75: 2.72782 2.72782 76: 1.36145 1.36145 77: 0.0789642 0.0789642 78: 1.22203 1.22203 79: 2.0079 2.0079 80: 0.87868 0.87868 81: 0.283714 0.283714 82: 1.77779 1.77779 83: -0.000437906 0.000437906 84: 1.28288 1.28288 85: 0.818117 0.818117 86: 2.12355 2.12355 87: 1.21575 1.21575 88: 0.682151 0.682151 89: 2.16725 2.16725 90: 0.77659 0.77659 91: 0.606361 0.606361 92: 1.73471 1.73471 93: 2.11009 2.11009 94: 1.58892 1.58892 95: 0.866045 0.866045 96: 0.254638 0.254638 97: 1.21098 1.21098 98: 0.231283 0.231283 99: 1.50962 1.50962 R8NSYMM_GEN_TEST R8NSYMM_GEN generates an arbitrary size nonsymmetric matrix with known eigenvalues and eigenvectors. 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 -0.74152 3 -0.74152 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 3.0963 10 3.0963 1 3.64456 11 3.64456 1 LAMBDA versus the column norms of A*Q: 0: 2.67904 2.67904 1: 0.527231 0.527231 2: 0.43394 0.43394 3: 0.768876 0.768876 4: 2.21293 2.21293 5: 1.53504 1.53504 6: 2.26938 2.26938 7: 2.04954 2.04954 8: -0.666087 0.666087 9: -0.865228 0.865228 10: -1.24246 1.24246 11: 1.73581 1.73581 12: 1.03967 1.03967 13: -0.350736 0.350736 14: 1.67307 1.67307 15: 1.00777 1.00777 16: 0.724873 0.724873 17: 1.37494 1.37494 18: 3.164 3.164 19: 1.1856 1.1856 20: 1.29779 1.29779 21: 0.536242 0.536242 22: 3.04454 3.04454 23: 1.09658 1.09658 24: 2.39882 2.39882 25: 0.142606 0.142606 26: -0.242985 0.242985 27: 2.67452 2.67452 28: 0.932916 0.932916 29: 1.62078 1.62078 30: 0.205604 0.205604 31: 0.675837 0.675837 32: 0.476232 0.476232 33: 1.15648 1.15648 34: 0.649433 0.649433 35: 0.752243 0.752243 36: 1.1317 1.1317 37: -0.820756 0.820756 38: 1.53738 1.53738 39: 2.24857 2.24857 40: 0.293584 0.293584 41: 1.781 1.781 42: 0.366553 0.366553 43: 1.7509 1.7509 44: 0.610616 0.610616 45: -0.715215 0.715215 46: 0.369065 0.369065 47: 2.97003 2.97003 48: 1.28042 1.28042 49: 0.446734 0.446734 50: 0.42451 0.42451 51: -1.28791 1.28791 52: 1.38554 1.38554 53: -1.16928 1.16928 54: 0.72368 0.72368 55: 1.71525 1.71525 56: 1.03913 1.03913 57: 0.541106 0.541106 58: 0.384708 0.384708 59: 1.40711 1.40711 60: 0.671167 0.671167 61: 0.864788 0.864788 62: -1.83804 1.83804 63: 0.980327 0.980327 64: -0.710951 0.710951 65: 2.84855 2.84855 66: 2.01779 2.01779 67: -0.253012 0.253012 68: 3.64456 3.64456 69: 1.29099 1.29099 70: 2.46052 2.46052 71: 2.27655 2.27655 72: 2.05497 2.05497 73: 1.98208 1.98208 74: 1.40995 1.40995 75: 2.72782 2.72782 76: 1.36145 1.36145 77: 0.0789642 0.0789642 78: 1.22203 1.22203 79: 2.0079 2.0079 80: 0.87868 0.87868 81: 0.283714 0.283714 82: 1.77779 1.77779 83: -0.000437906 0.000437906 84: 1.28288 1.28288 85: 0.818117 0.818117 86: 2.12355 2.12355 87: 1.21575 1.21575 88: 0.682151 0.682151 89: 2.16725 2.16725 90: 0.77659 0.77659 91: 0.606361 0.606361 92: 1.73471 1.73471 93: 2.11009 2.11009 94: 1.58892 1.58892 95: 0.866045 0.866045 96: 0.254638 0.254638 97: 1.21098 1.21098 98: 0.231283 0.231283 99: 1.50962 1.50962 TEST_EIGEN_TEST Normal end of execution. 09 March 2018 03:08:16 PM