11 September 2021 9:24:38.846 AM VANDERMONDE_TEST FORTRAN90 version. Test the VANDERMONDE library. BIVAND1_TEST: Compute a bidimensional Vandermonde matrix associated with polynomials of total degree < N. Vandermonde vector ALPHA: 1: 1.0000000 2: 2.0000000 3: 3.0000000 Vandermonde vector BETA: 1: 10.000000 2: 20.000000 3: 30.000000 Bidimensional Vandermonde matrix: Col 1 2 3 4 5 Row 1: 1. 1. 1. 1. 1. 2: 1. 2. 3. 1. 2. 3: 10. 10. 10. 20. 20. 4: 1. 4. 9. 1. 4. 5: 10. 20. 30. 20. 40. 6: 100. 100. 100. 400. 400. Col 6 Row 1: 1. 2: 1. 3: 30. 4: 1. 5: 30. 6: 900. BIVAND2_TEST: Compute a bidimensional Vandermonde matrix associated with polynomials of maximum degree < N. Vandermonde vector ALPHA: 1: 1.0000000 2: 2.0000000 3: 3.0000000 Vandermonde vector BETA: 1: 10.000000 2: 20.000000 3: 30.000000 Bidimensional Vandermonde matrix: Col 1 2 3 4 5 Row 1: 1. 1. 1. 1. 1. 2: 1. 2. 3. 1. 2. 3: 1. 4. 9. 1. 4. 4: 10. 10. 10. 20. 20. 5: 10. 20. 30. 20. 40. 6: 10. 40. 90. 20. 80. 7: 100. 100. 100. 400. 400. 8: 100. 200. 300. 400. 800. 9: 100. 400. 900. 400. 1600. Col 6 7 8 9 Row 1: 1. 1. 1. 1. 2: 3. 1. 2. 3. 3: 9. 1. 4. 9. 4: 20. 30. 30. 30. 5: 60. 30. 60. 90. 6: 180. 30. 120. 270. 7: 400. 900. 900. 900. 8: 1200. 900. 1800. 2700. 9: 3600. 900. 3600. 8100. DVAND_TEST: Solve a Vandermonde linear system A'*x=b Vandermonde vector ALPHA: 1: 0.0000000 2: 1.0000000 3: 2.0000000 4: 3.0000000 5: 4.0000000 Right hand side B: 1: 5.0000000 2: 15.000000 3: 67.000000 4: 239.00000 5: 657.00000 Solution X: 1: 5.0000000 2: 3.0000000 3: 4.0000000 4: 1.0000000 5: 2.0000000 Vandermonde vector ALPHA: 1: 0.97600660E-01 2: 0.96767747 3: 0.79333680 4: 0.69030160 5: 0.34896405 Right hand side B: 1: 5.3320168 2: 14.308453 3: 11.189103 4: 9.7600456 5: 6.6061500 Solution X: 1: 5.0000000 2: 3.0000000 3: 4.0000000 4: 1.0000000 5: 2.0000000 DVANDPRG_TEST: Solve a Vandermonde linear system A'*x=b progressively. First we use ALPHA = 0, 1, 2, 3, 4. Then we choose ALPHA at random. Vandermonde vector ALPHA: 1: 0.0000000 2: 1.0000000 3: 2.0000000 4: 3.0000000 5: 4.0000000 Right hand side B: 1: 5.0000000 2: 15.000000 3: 67.000000 4: 239.00000 5: 657.00000 Solution X: 1: 5.0000000 Solution X: 1: 5.0000000 2: 10.000000 Solution X: 1: 5.0000000 2: -11.000000 3: 21.000000 Solution X: 1: 5.0000000 2: 15.000000 3: -18.000000 4: 13.000000 Solution X: 1: 5.0000000 2: 3.0000000 3: 4.0000000 4: 1.0000000 5: 2.0000000 Vandermonde vector ALPHA: 1: 0.29747905 2: 0.21002006 3: 0.57868209 4: 0.66144328 5: 0.30668878E-01 Right hand side B: 1: 6.2883997 2: 5.8196486 3: 8.4936028 4: 9.4065700 5: 5.0957996 Solution X: 1: 6.2883997 Solution X: 1: 4.6940112 2: 5.3596662 Solution X: 1: 5.1146938 2: 1.9424484 3: 6.7334460 Solution X: 1: 4.9521723 2: 3.5434637 3: 1.8507911 4: 4.4952490 Solution X: 1: 5.0000000 2: 3.0000000 3: 4.0000000 4: 1.0000000 5: 2.0000000 PVAND_TEST: Solve a Vandermonde linear system A*x=b Vandermonde vector ALPHA: 1: 0.0000000 2: 1.0000000 3: 2.0000000 4: 3.0000000 5: 4.0000000 Right hand side B: 1: 15.000000 2: 22.000000 3: 60.000000 4: 190.00000 5: 660.00000 Solution X: 1: 5.0000000 2: 3.0000000 3: 4.0000000 4: 1.0000000 5: 2.0000000 Vandermonde vector ALPHA: 1: 0.26801827 2: 0.45944003 3: 0.28107301 4: 0.98619906 5: 0.34123899 Right hand side B: 1: 15.000000 2: 5.5113805 3: 2.5139092 4: 1.5146645 5: 1.1574836 Solution X: 1: 5.0000000 2: 3.0000000 3: 4.0000000 4: 1.0000000 5: 2.0000000 PVANDPRG_TEST: Solve a Vandermonde linear system A*x=b progressively. First we use ALPHA = 0, 1, 2, 3, 4. Then we choose ALPHA at random. Vandermonde vector ALPHA: 1: 0.0000000 2: 1.0000000 3: 2.0000000 4: 3.0000000 5: 4.0000000 Right hand side B: 1: 15.000000 2: 22.000000 3: 60.000000 4: 190.00000 5: 660.00000 Solution X: 1: 15.000000 Solution X: 1: -7.0000000 2: 22.000000 Solution X: 1: 12.000000 2: -16.000000 3: 19.000000 Solution X: 1: 3.0000000 2: 11.000000 3: -8.0000000 4: 9.0000000 Solution X: 1: 5.0000000 2: 3.0000000 3: 4.0000000 4: 1.0000000 5: 2.0000000 Vandermonde vector ALPHA: 1: 0.83916416 2: 0.79723147 3: 0.67108297 4: 0.75847720 5: 0.70371671 Right hand side B: 1: 15.000000 2: 11.437758 3: 8.7948479 4: 6.8170136 5: 5.3240467 Solution X: 1: 15.000000 Solution X: 1: -12.417861 2: 27.417861 Solution X: 1: 3.6534843 2: 6.0042821 3: 5.3422336 Solution X: 1: 5.5877182 2: 0.63853958 3: 4.7486249 4: 4.0251173 Solution X: 1: 5.0000000 2: 3.0000000 3: 4.0000000 4: 1.0000000 5: 2.0000000 VANDERMONDE_TEST Normal end of execution. 11 September 2021 9:24:38.847 AM