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A Chebyshev approximation is a truncation of the series f(x) = \sum c_n T_n(x), where the Chebyshev polynomials T_n(x) = \cos(n \arccos x) provide an orthogonal ...

Source code for Chebyshev polynomial approximations. More. ... #include <gsl/gsl_sf_bessel.h> ... Include dependency graph for Chebyshev.cpp: ...

Univariate Chebyshev Series Approximation. NAME; SYNOPSIS; DESCRIPTION; AUTHORS; COPYRIGHT AND LICENSE; NAME. Math::GSL::Chebyshev - Univariate Chebyshev Series ...

3 #include <gsl/gsl_chebyshev.h> Listing 5.106. ... for working with the functions of Chebyshev approximations: Now we set the function similar to the pulse ...

The first few Chebyshev polynomials are, T_0(x) = 1, T_1(x) = x, T_2(x) = 2 x^2 - 1. The functions described in this chapter are declared in the header file `gsl_chebyshev.h'. The gsl_cheb_series struct. A Chebyshev series is stored using the following structure,

Genomic Autozygosity Regions Likelihood Inference and Classification - garlic/gsl_chebyshev.h at master · szpiech/garlic

The first few Chebyshev polynomials are, T_0(x) = 1, T_1(x) = x, T_2(x) = 2 x^2 - 1. The functions described in this chapter are declared in the header file `gsl_chebyshev.h'. The gsl_cheb_series struct. A Chebyshev series is stored using the following structure,

gsl_integration_fixed_type * gsl_integration_fixed_chebyshev ¶ This specifies Chebyshev type 1 quadrature integration. The parameters alpha and beta are ignored for this type. gsl_integration_fixed_type * gsl_integration_fixed_gegenbauer ¶ This specifies Gegenbauer quadrature integration. The parameter beta is ignored for this type.

GNU Scientific Library with CMake build support and AMPL bindings - gsl/chebyshev.h at master · ampl/gsl.

use Math::GSL::Chebyshev qw/:all/ ;. my $cheb = gsl_cheb_alloc(40);. my $function = sub { sin ( cos ( $_ [0])) };. gsl_cheb_init( $cheb , $function , 0, ...

About: GSL (GNU Scientific Library) is a numerical library for C and C++ programmers. Fossies Dox : gsl-2.7.1.tar.gz ("unofficial" and yet experimental doxygen-generated source code documentation)

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Allocates a new Chebyshev object with $size sample points. gsl_cheb_free ($cheb) Deallocates memory associated to $cheb. Returns void. gsl_cheb_init ($cheb,$function, $lower, $upper) gsl_cheb_init ($cheb, sub { sin(cos($_[0])) }, 0, 10 ); Initiate a Chebyshev object with a function and upper and lower bounds. Returns void.

A Chebyshev approximation is a truncation of the series f(x) = sum c_n T_n(x), where the Chebyshev polynomials T_n(x) = cos(n ...

Mathematical Constants. Infinities and Not-a-number. Elementary Functions. Small integer powers. Testing the Sign of Numbers. Testing for Odd and Even Numbers. Maximum and Minimum functions. Approximate Comparison of Floating Point Numbers. Complex Numbers.

Chebyshev Approximation 车比雪夫逼近 gsl_chebyshev.h 提 供了 [-1, 1] 上一组正交多项式，这对应的是 1/sqrt (1-x^2) 为权的函数空间。 首先用 gsl_cheb_alloc () 分配空间产生 gsl_cheb_series 结构，然后 gsl_cheb_init ()，最后 gsl_cheb_free ()。 提供了计算函数值、函数值误差，导函数和积分。 Series Acceleration 级数加速 gsl_sum.h 提 供了一个 Levin u-transform 的东西，没听说 …

This chapter describes routines for computing Chebyshev approximations to univariate functions. A Chebyshev approximation is a truncation of the series f(x) ...

Chebyshev Approximations. This chapter describes routines for computing Chebyshev approximations to univariate functions. A Chebyshev approximation is a truncation of the series , where the Chebyshev polynomials provide an orthogonal basis of polynomials on the interval with the weight function . The first few Chebyshev polynomials are, , , .

In order to work efficiently the algorithm requires a precomputed table of Chebyshev moments. type gsl_integration_qaws_table ¶ This structure contains precomputed quantities for the QAWS algorithm. gsl_integration_qaws_table *gsl_integration_qaws_table_alloc(double alpha, double beta, int mu, int nu) ¶

It uses the algorithm from <A HREF="http://www.gnu.org/software/gsl/manual/html_node/Chebyshev-Approximations.html">GSL</A> This class does not support ...

03.10.2021 · 前几个切比雪夫多项式是，T0(x) = 1, T1(x) = x, T2(x) = 2x2−1。更多信息，请参阅第22章Abramowitz和Stegun。 本章描述的函数声明在头文件gsl_chebyshev.h中。32.1 定 …

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Chebyshev Approximations¶. This chapter describes routines for computing Chebyshev approximations to univariate functions. A Chebyshev approximation is a truncation of the series , where the Chebyshev polynomials provide an orthogonal basis of polynomials on the interval with the weight function .The first few Chebyshev polynomials are, ,