16-Aug-2022 10:00:28 r83_np_test(): MATLAB version Test r83_np(). R83_NP_DET_TEST R83_NP_DET computes the determinant of a tridiagonal matrix factored by R83_NP_FA. Matrix order N = 10 The factored R83 matrix: Col: 1 2 3 4 5 Row --- 1: 2 -1 2: -0.5 1.5 -1 3: -0.666667 1.33333 -1 4: -0.75 1.25 -1 5: -0.8 1.2 6: -0.833333 Col: 6 7 8 9 10 Row --- 5: -1 6: 1.16667 -1 7: -0.857143 1.14286 -1 8: -0.875 1.125 -1 9: -0.888889 1.11111 -1 10: -0.9 1.1 R83_NP_DET computes determinant = 11 Exact determinant = 11 R83_NP_FA_TEST R83_NP_FA factors a tridiagonal matrix with no pivoting; Matrix order N = 10 The tridiagonal matrix: Col: 1 2 3 4 5 Row --- 1: 0.218418 0.829509 2: 0.956318 0.561695 0.0661187 3: 0.415307 0.257578 0.043829 4: 0.109957 0.633966 0.449539 5: 0.0617272 0.401306 6: 0.754673 Col: 6 7 8 9 10 Row --- 5: 0.797287 6: 0.00183837 0.350752 7: 0.897504 0.0945448 0.859097 8: 0.0136169 0.840847 0.00751236 9: 0.123104 0.260303 0.113664 10: 0.912484 0.351629 Solution: 1: 1 2: 2 3: 3 4: 4 5: 5 6: 6 7: 7 8: 8 9: 9 10: 10 Solution to tranposed system: 1: 1 2: 2 3: 3 4: 4 5: 5 6: 6 7: 7 8: 8 9: 9 10: 10 R83_NP_FS_TEST R83_NP_FS factors and solves a tridiagonal linear system. Matrix order N = 10 Solution: 1: 1 2: 2 3: 3 4: 4 5: 5 6: 6 7: 7 8: 8 9: 9 10: 10 R83_NP_ML_TEST R83_NP_ML computes A*x or A'*x where A has been factored by R83_FA. Matrix order N = 10 A*x and PLU*x: 1: 1.87744 1.87744 2: 2.27806 2.27806 3: 1.77866 1.77866 4: 5.11343 5.11343 5: 7.03716 7.03716 6: 6.23966 6.23966 7: 12.9196 12.9196 8: 6.88971 6.88971 9: 4.4642 4.4642 10: 11.7286 11.7286 A'*x and (PLU)'*x 1: 1.35715 1.35715 2: 4.39904 4.39904 3: 6.03519 6.03519 4: 5.59777 5.59777 5: 5.81525 5.81525 6: 6.74571 6.74571 7: 7.50541 7.50541 8: 12.9291 12.9291 9: 14.2607 14.2607 10: 9.79448 9.79448 R83_NP_SL_TEST R83_NP_SL solves a linear system after the tridiagonal matrix has been factored by R83_NP_FA. Matrix order N = 10 The tridiagonal matrix: Col: 1 2 3 4 5 Row --- 1: 0.218418 0.829509 2: 0.956318 0.561695 0.0661187 3: 0.415307 0.257578 0.043829 4: 0.109957 0.633966 0.449539 5: 0.0617272 0.401306 6: 0.754673 Col: 6 7 8 9 10 Row --- 5: 0.797287 6: 0.00183837 0.350752 7: 0.897504 0.0945448 0.859097 8: 0.0136169 0.840847 0.00751236 9: 0.123104 0.260303 0.113664 10: 0.912484 0.351629 Solution: 1: 1 2: 2 3: 3 4: 4 5: 5 6: 6 7: 7 8: 8 9: 9 10: 10 Solution to tranposed system: 1: 1 2: 2 3: 3 4: 4 5: 5 6: 6 7: 7 8: 8 9: 9 10: 10 r83_np_test(): Normal end of execution. 16-Aug-2022 10:00:28