23-Aug-2022 08:57:21 r8ltt_test(): MATLAB version Test r8ltt(). R8LTT_DET_TEST R8LTT_DET computes the determinant of an R8LTT matrix. Matrix order N = 5 The matrix: Col: 1 2 3 4 5 Row --- 1 0.218418 2 0.956318 0.218418 3 0.829509 0.956318 0.218418 4 0.561695 0.829509 0.956318 0.218418 5 0.415307 0.561695 0.829509 0.956318 0.218418 The determinant = 0.000497102 R8LTT_INDICATOR_TEST R8LTT_INDICATOR sets up an indicator matrix in R8LTT format Matrix order N = 5 The indicator matrix: Col: 1 2 3 4 5 Row --- 1 1 2 2 1 3 3 2 1 4 4 3 2 1 5 5 4 3 2 1 R8LTT_INVERSE_TEST R8LTT_INVERSE computes the inverse of an R8LTT matrix. The matrix A: Col: 1 2 3 4 5 Row --- 1 0.218418 2 0.956318 0.218418 3 0.829509 0.956318 0.218418 4 0.561695 0.829509 0.956318 0.218418 5 0.415307 0.561695 0.829509 0.956318 0.218418 The inverse matrix B: Col: 1 2 3 4 5 Row --- 1 4.57837 2 -20.0458 4.57837 3 70.3805 -20.0458 4.57837 4 -243.796 70.3805 -20.0458 4.57837 5 842.985 -243.796 70.3805 -20.0458 4.57837 The product A * B: Col: 1 2 3 4 5 Row --- 1 1 2 8.88178e-16 1 3 4.44089e-15 8.88178e-16 1 4 3.55271e-15 4.44089e-15 8.88178e-16 1 5 -3.93019e-14 3.55271e-15 4.44089e-15 8.88178e-16 1 R8LTT_MM_TEST R8LTT_MM computes C = A * B for R8LTT matrices. Matrix order N = 5 Factor A: Col: 1 2 3 4 5 Row --- 1 0.218418 2 0.956318 0.218418 3 0.829509 0.956318 0.218418 4 0.561695 0.829509 0.956318 0.218418 5 0.415307 0.561695 0.829509 0.956318 0.218418 Factor B: Col: 1 2 3 4 5 Row --- 1 0.0661187 2 0.257578 0.0661187 3 0.109957 0.257578 0.0661187 4 0.043829 0.109957 0.257578 0.0661187 5 0.633966 0.043829 0.109957 0.257578 0.0661187 The product C = A * B Col: 1 2 3 4 5 Row --- 1 0.0144415 2 0.11949 0.0144415 3 0.325189 0.11949 0.0144415 4 0.365528 0.325189 0.11949 0.0144415 5 0.443734 0.365528 0.325189 0.11949 0.0144415 The R8GE product C: Col: 1 2 3 4 5 Row --- 1 0.0144415 0 0 0 0 2 0.11949 0.0144415 0 0 0 3 0.325189 0.11949 0.0144415 0 0 4 0.365528 0.325189 0.11949 0.0144415 0 5 0.443734 0.365528 0.325189 0.11949 0.0144415 R8LTT_MTM_TEST R8LTT_MTM computes C = A' * B for R8LTT matrices. The matrix A: Col: 1 2 3 4 5 Row --- 1 0.218418 2 0.956318 0.218418 3 0.829509 0.956318 0.218418 4 0.561695 0.829509 0.956318 0.218418 5 0.415307 0.561695 0.829509 0.956318 0.218418 The matrix B: Col: 1 2 3 4 5 Row --- 1 0.0661187 2 0.257578 0.0661187 3 0.109957 0.257578 0.0661187 4 0.043829 0.109957 0.257578 0.0661187 5 0.633966 0.043829 0.109957 0.257578 0.0661187 The product C = A' * B: Col: 1 2 3 4 5 Row --- 1 0.639887 0.356858 0.245192 0.144112 0.0274596 2 0.553866 0.376596 0.338656 0.199526 0.0371386 3 0.591811 0.19777 0.351978 0.276894 0.0548461 4 0.615846 0.065931 0.161413 0.260768 0.0632305 5 0.13847 0.00957306 0.0240166 0.0562597 0.0144415 The R8GE product C = A' * B: Col: 1 2 3 4 5 Row --- 1 0.639887 0.356858 0.245192 0.144112 0.0274596 2 0.553866 0.376596 0.338656 0.199526 0.0371386 3 0.591811 0.19777 0.351978 0.276894 0.0548461 4 0.615846 0.065931 0.161413 0.260768 0.0632305 5 0.13847 0.00957306 0.0240166 0.0562597 0.0144415 R8LTT_MTV_TEST R8LTT_MTV computes a matrix product b=A'*x for an R8LTT matrix. Matrix order N = 5 The matrix A: Col: 1 2 3 4 5 Row --- 1 1 2 2 1 3 3 2 1 4 4 3 2 1 5 5 4 3 2 1 The vector X: 1: 1 2: 2 3: 3 4: 4 5: 5 The vector b=A'*x: 1: 55 2: 40 3: 26 4: 14 5: 5 R8LTT_MV_TEST R8LTT_MV computes a product b=A*x for an R8LTT matrix. Matrix order N = 5 The R8LTT matrix A: Col: 1 2 3 4 5 Row --- 1 1 2 2 1 3 3 2 1 4 4 3 2 1 5 5 4 3 2 1 Vector x: 1: 1 2: 2 3: 3 4: 4 5: 5 Vector b = A*x: 1: 1 2: 4 3: 10 4: 20 5: 35 R8LTT_PRINT_TEST R8LTT_PRINT prints an R8LTT matrix. Matrix order N = 5 The matrix: Col: 1 2 3 4 5 Row --- 1 1 2 2 1 3 3 2 1 4 4 3 2 1 5 5 4 3 2 1 R8LTT_PRINT_SOME_TEST R8LTT_PRINT_SOME prints some of an R8LTT matrix. Matrix order N = 6 Some of the matrix: Col: 1 2 3 4 Row --- 2 2 1 3 3 2 1 4 4 3 2 1 5 5 4 3 2 R8LTT_RANDOM_TEST R8LTT_RANDOM randomizes an R8LTT matrix. Matrix order N = 5 Matrix A: Col: 1 2 3 4 5 Row --- 1 0.218418 2 0.956318 0.218418 3 0.829509 0.956318 0.218418 4 0.561695 0.829509 0.956318 0.218418 5 0.415307 0.561695 0.829509 0.956318 0.218418 R8LTT_SL_TEST R8LTT_SL solves a linear system A*x=b with R8LTT matrix; Matrix order N = 5 Matrix A: Col: 1 2 3 4 5 Row --- 1 0.218418 2 0.956318 0.218418 3 0.829509 0.956318 0.218418 4 0.561695 0.829509 0.956318 0.218418 5 0.415307 0.561695 0.829509 0.956318 0.218418 Right hand side b: 1: 0.218418 2: 1.39315 3: 3.3974 4: 5.96334 5: 8.94459 Solution x: 1: 1 2: 2 3: 3 4: 4 5: 5 R8LTT_SLT_TEST R8LTT_SLT solves a linear system A'*x=b with R8LTT matrix; Matrix order N = 5 Matrix A: Col: 1 2 3 4 5 Row --- 1 0.218418 2 0.956318 0.218418 3 0.829509 0.956318 0.218418 4 0.561695 0.829509 0.956318 0.218418 5 0.415307 0.561695 0.829509 0.956318 0.218418 Right hand side b: 1: 8.9429 2: 9.4323 3: 8.62807 4: 5.65526 5: 1.09209 Solution x: 1: 1 2: 2 3: 3 4: 4 5: 5 R8LTT_TO_R8GE_TEST R8LTT_TO_R8GE converts an R8LTT matrix to R8GE format. The random R8LTT matrix: Col: 1 2 3 4 5 Row --- 1 0.218418 2 0.956318 0.218418 3 0.829509 0.956318 0.218418 4 0.561695 0.829509 0.956318 0.218418 5 0.415307 0.561695 0.829509 0.956318 0.218418 The R8GE matrix: Col: 1 2 3 4 5 Row --- 1 0.218418 0 0 0 0 2 0.956318 0.218418 0 0 0 3 0.829509 0.956318 0.218418 0 0 4 0.561695 0.829509 0.956318 0.218418 0 5 0.415307 0.561695 0.829509 0.956318 0.218418 R8LTT_ZEROS_TEST R8LTT_ZEROS zeros out space for an R8LTT matrix. Matrix order N = 5 The matrix: Col: 1 2 3 4 5 Row --- 1 0 2 0 0 3 0 0 0 4 0 0 0 0 5 0 0 0 0 0 r8ltt_test(): Normal end of execution. 23-Aug-2022 08:57:21