C 代码 估计多项式 N Fekete 点的位置 插值或正交， 在一维线段的内部.rar

20 January 2020 01:01:48 PM LINE_FEKETE_RULE_TEST C version Test the LINE_FEKETE_RULE library. TEST01: Seek Fekete points in [-1.000000,1.000000] using 5001 equally spaced sample points for polynomials of degree M = 5 using the monomial basis and uniform weight. NF = 5 Estimated Fekete points XF: 0: -1 1: -0.6248 2: 0 3: 0.656 4: 1 Sum(WF) = 2 TEST01: Seek Fekete points in [-1.000000,1.000000] using 5001 equally spaced sample points for polynomials of degree M = 11 using the monomial basis and uniform weight. NF = 11 Estimated Fekete points XF: 0: -1 1: -0.8996 2: -0.7056 3: -0.5676 4: -0.4124 5: -0.046 6: 0.3084 7: 0.4948 8: 0.6512 9: 0.8868 10: 1 Sum(WF) = 2 TEST01: Seek Fekete points in [-1.000000,1.000000] using 5001 equally spaced sample points for polynomials of degree M = 21 using the monomial basis and uniform weight. NF = 21 Estimated Fekete points XF: 0: -1 1: -0.9824 2: -0.9516 3: -0.8976 4: -0.838 5: -0.7368 6: -0.5972 7: -0.4524 8: -0.3184 9: -0.1688 10: -0.0132 11: 0.1552 12: 0.3268 13: 0.4528 14: 0.5588 15: 0.7228 16: 0.8324 17: 0.8924 18: 0.95 19: 0.9816 20: 1 Sum(WF) = 2 TEST02: Seek Fekete points in [-1.000000,1.000000] using 5001 equally spaced sample points for polynomials of degree M = 5 with the Chebyshev basis. NF = 5 Estimated Fekete points XF: 0: -1 1: -0.6636 2: -0.008 3: 0.6412 4: 1 Sum(WF) = 3.14159 TEST02: Seek Fekete points in [-1.000000,1.000000] using 5001 equally spaced sample points for polynomials of degree M = 11 with the Chebyshev basis. NF = 11 Estimated Fekete points XF: 0: -1 1: -0.9372 2: -0.7896 3: -0.5696 4: -0.2968 5: 0.0008 6: 0.3032 7: 0.5744 8: 0.7916 9: 0.9376 10: 1 Sum(WF) = 3.14159 TEST02: Seek Fekete points in [-1.000000,1.000000] using 5001 equally spaced sample points for polynomials of degree M = 21 with the Chebyshev basis. NF = 21 Estimated Fekete points XF: 0: -1 1: -0.984 2: -0.9448 3: -0.8836 4: -0.8012 5: -0.7 6: -0.582 7: -0.4496 8: -0.3064 9: -0.1564 10: -0.0004 11: 0.1548 12: 0.3076 13: 0.4508 14: 0.5824 15: 0.7004 16: 0.8012 17: 0.8832 18: 0.9444 19: 0.9836 20: 1 Sum(WF) = 3.14159 TEST03: Seek Fekete points in [-1.000000,1.000000] using 5001 equally spaced sample points for polynomials of degree M = 5 with the Legendre basis and uniform weight. NF = 5 Estimated Fekete points XF: 0: -1 1: -0.5924 2: 0.0044 3: 0.6048 4: 1 Sum(WF) = 2 TEST03: Seek Fekete points in [-1.000000,1.000000] using 5001 equally spaced sample points for polynomials of degree M = 11 with the Legendre basis and uniform weight. NF = 11 Estimated Fekete points XF: 0: -1 1: -0.9168 2: -0.726 3: -0.5388 4: -0.2912 5: -0.0012 6: 0.288 7: 0.538 8: 0.7256 9: 0.9172 10: 1 Sum(WF) = 2 TEST03: Seek Fekete points in [-1.000000,1.000000] using 5001 equally spaced sample points for polynomials of degree M = 21 with the Legendre basis and uniform weight. NF = 21 Estimated Fekete points XF: 0: -1 1: -0.9772 2: -0.9228 3: -0.8692 4: -0.7952 5: -0.6456 6: -0.5496 7: -0.4216 8: -0.2932 9: -0.1512 10: -0.0052 11: 0.1396 12: 0.2852 13: 0.416 14: 0.5416 15: 0.6324 16: 0.7952 17: 0.8692 18: 0.9228 19: 0.9772 20: 1 Sum(WF) = 2 LINE_FEKETE_RULE_TEST Normal end of execution. 20 January 2020 01:01:48 PM