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Orthogonal Polynomials

Orthogonal Polynomials (Chebyshev, Hermite, Laguerre, and Legendre)
(92 downloads for this version - 16507 downloads for all versions)
Details
Version
0.3.4
Author
Michael Baudin
Owner Organization
- - -
Maintainers
Samuel Gougeon
Michael Baudin
Administrator Atoms
License
Dependencies
Creation Date
December 2, 2021
Source created on
Scilab 6.1.x
Binaries available on
Scilab 6.1.x:
Windows 64-bit Windows 32-bit Linux 64-bit Linux 32-bit MacOSX
Install command
--> atomsInstall("Ortpol")
Description
            
This module allows to create and handle orthogonal polynomials.

CONTENTS
--------
Orthogonal Polynomials

* ortpol_overview — An overview of the Ortpol toolbox.
* ortpol_quadrature — Returns nodes and weights of a quadrature
                      from alphas and betas
* Chebyshev
  * chebyshev_eval — Evaluate Chebyshev polynomial
  * chebyshev_norm — Compute Chebyshev L2 norm
  * chebyshev_pdf  — Chebyshev PDF
  * chebyshev_poly — Create Chebyshev polynomial
  * chebyshev_quadrature — Returns nodes and weights of
                           Gauss-Chebyshev quadrature
  * chebyshev_variance — Variance of Chebyshev polynomials
  * chebyshev_weight — Chebyshev weight function

* Hermite
  * hermite_eval   — Evaluate Hermite polynomial
  * hermite_norm   — Compute Hermite L2 norm
  * hermite_pdf    — Gaussian PDF
  * hermite_poly   — Create Hermite polynomial
  * hermite_quadrature — Returns nodes and weights of
                         Gauss-Hermite quadrature
  * hermite_variance — Variance of Hermite polynomials
  * hermite_weight — Gaussian weight function

* Laguerre
  * laguerre_eval — Evaluate Laguerre polynomial
  * laguerre_norm — Compute Laguerre L2 norm
  * laguerre_pdf  — Laguerre PDF
  * laguerre_poly — Create Laguerre polynomial
  * laguerre_quadrature — Returns nodes and weights of
                          Gauss-Laguerre quadrature
  * laguerre_variance — Variance of Laguerre polynomials
  * laguerre_weight — Laguerre weight function

* Legendre
  * legendre_eval — Evaluate Legendre polynomial
  * legendre_norm — Compute Legendre L2 norm
  * legendre_pdf  — Legendre PDF
  * legendre_poly — Create Legendre polynomial
  * legendre_quadrature — Returns nodes and weights of
                          Gauss-Legendre quadrature
  * legendre_variance — Variance of Legendre polynomials
  * legendre_weight — Legendre weight function
            
Files (2)
[118.27 kB]
Source code archive

[246.43 kB]
OS-independent binary for Scilab 6.1.x
CHANGES 0.3.3 => 0.3.4
 * Help pages improved: code style, LaTeX for text output
 * Ortpol.start: now checks for ALL dependencies, before loading any.
 * Module repackaging

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