21 January 2020 11:07:02 AM 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: 2.679040 2.679040 1: 0.527231 0.527231 2: 0.433940 0.433940 3: 0.768876 0.768876 4: 2.212934 2.212934 5: 1.535037 1.535037 6: 2.269381 2.269381 7: 2.049543 2.049543 8: -0.666087 0.666087 9: -0.865228 0.865228 10: -1.242464 1.242464 11: 1.735809 1.735809 12: 1.039675 1.039675 13: -0.350736 0.350736 14: 1.673068 1.673068 15: 1.007775 1.007775 16: 0.724873 0.724873 17: 1.374940 1.374940 18: 3.164005 3.164005 19: 1.185600 1.185600 20: 1.297785 1.297785 21: 0.536242 0.536242 22: 3.044536 3.044536 23: 1.096577 1.096577 24: 2.398819 2.398819 25: 0.142606 0.142606 26: -0.242985 0.242985 27: 2.674516 2.674516 28: 0.932916 0.932916 29: 1.620783 1.620783 30: 0.205604 0.205604 31: 0.675837 0.675837 32: 0.476232 0.476232 33: 1.156483 1.156483 34: 0.649433 0.649433 35: 0.752243 0.752243 36: 1.131700 1.131700 37: -0.820756 0.820756 38: 1.537380 1.537380 39: 2.248567 2.248567 40: 0.293584 0.293584 41: 1.780995 1.780995 42: 0.366553 0.366553 43: 1.750902 1.750902 44: 0.610616 0.610616 45: -0.715215 0.715215 46: 0.369065 0.369065 47: 2.970035 2.970035 48: 1.280416 1.280416 49: 0.446734 0.446734 50: 0.424510 0.424510 51: -1.287907 1.287907 52: 1.385542 1.385542 53: -1.169278 1.169278 54: 0.723680 0.723680 55: 1.715245 1.715245 56: 1.039125 1.039125 57: 0.541106 0.541106 58: 0.384708 0.384708 59: 1.407113 1.407113 60: 0.671167 0.671167 61: 0.864788 0.864788 62: -1.838041 1.838041 63: 0.980327 0.980327 64: -0.710951 0.710951 65: 2.848552 2.848552 66: 2.017792 2.017792 67: -0.253012 0.253012 68: 3.644565 3.644565 69: 1.290992 1.290992 70: 2.460521 2.460521 71: 2.276552 2.276552 72: 2.054968 2.054968 73: 1.982082 1.982082 74: 1.409949 1.409949 75: 2.727823 2.727823 76: 1.361448 1.361448 77: 0.078964 0.078964 78: 1.222025 1.222025 79: 2.007899 2.007899 80: 0.878680 0.878680 81: 0.283714 0.283714 82: 1.777794 1.777794 83: -0.000438 0.000438 84: 1.282882 1.282882 85: 0.818117 0.818117 86: 2.123548 2.123548 87: 1.215752 1.215752 88: 0.682151 0.682151 89: 2.167249 2.167249 90: 0.776590 0.776590 91: 0.606361 0.606361 92: 1.734715 1.734715 93: 2.110094 2.110094 94: 1.588917 1.588917 95: 0.866045 0.866045 96: 0.254638 0.254638 97: 1.210978 1.210978 98: 0.231283 0.231283 99: 1.509619 1.509619 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 column norms of A*QR: 0: 2.679040 2.679040 1: 0.527231 0.527231 2: 0.433940 0.433940 3: 0.768876 0.768876 4: 2.212934 2.212934 5: 1.535037 1.535037 6: 2.269381 2.269381 7: 2.049543 2.049543 8: -0.666087 0.666087 9: -0.865228 0.865228 10: -1.242464 1.242464 11: 1.735809 1.735809 12: 1.039675 1.039675 13: -0.350736 0.350736 14: 1.673068 1.673068 15: 1.007775 1.007775 16: 0.724873 0.724873 17: 1.374940 1.374940 18: 3.164005 3.164005 19: 1.185600 1.185600 20: 1.297785 1.297785 21: 0.536242 0.536242 22: 3.044536 3.044536 23: 1.096577 1.096577 24: 2.398819 2.398819 25: 0.142606 0.142606 26: -0.242985 0.242985 27: 2.674516 2.674516 28: 0.932916 0.932916 29: 1.620783 1.620783 30: 0.205604 0.205604 31: 0.675837 0.675837 32: 0.476232 0.476232 33: 1.156483 1.156483 34: 0.649433 0.649433 35: 0.752243 0.752243 36: 1.131700 1.131700 37: -0.820756 0.820756 38: 1.537380 1.537380 39: 2.248567 2.248567 40: 0.293584 0.293584 41: 1.780995 1.780995 42: 0.366553 0.366553 43: 1.750902 1.750902 44: 0.610616 0.610616 45: -0.715215 0.715215 46: 0.369065 0.369065 47: 2.970035 2.970035 48: 1.280416 1.280416 49: 0.446734 0.446734 50: 0.424510 0.424510 51: -1.287907 1.287907 52: 1.385542 1.385542 53: -1.169278 1.169278 54: 0.723680 0.723680 55: 1.715245 1.715245 56: 1.039125 1.039125 57: 0.541106 0.541106 58: 0.384708 0.384708 59: 1.407113 1.407113 60: 0.671167 0.671167 61: 0.864788 0.864788 62: -1.838041 1.838041 63: 0.980327 0.980327 64: -0.710951 0.710951 65: 2.848552 2.848552 66: 2.017792 2.017792 67: -0.253012 0.253012 68: 3.644565 3.644565 69: 1.290992 1.290992 70: 2.460521 2.460521 71: 2.276552 2.276552 72: 2.054968 2.054968 73: 1.982082 1.982082 74: 1.409949 1.409949 75: 2.727823 2.727823 76: 1.361448 1.361448 77: 0.078964 0.078964 78: 1.222025 1.222025 79: 2.007899 2.007899 80: 0.878680 0.878680 81: 0.283714 0.283714 82: 1.777794 1.777794 83: -0.000438 0.000438 84: 1.282882 1.282882 85: 0.818117 0.818117 86: 2.123548 2.123548 87: 1.215752 1.215752 88: 0.682151 0.682151 89: 2.167249 2.167249 90: 0.776590 0.776590 91: 0.606361 0.606361 92: 1.734715 1.734715 93: 2.110094 2.110094 94: 1.588917 1.588917 95: 0.866045 0.866045 96: 0.254638 0.254638 97: 1.210978 1.210978 98: 0.231283 0.231283 99: 1.509619 1.509619 TEST_EIGEN_TEST Normal end of execution. 21 January 2020 11:07:04 AM