Orthogonal Polynomials

Orthogonal Polynomials

Orthogonal Polynomials Toolbox

Purpose

This module allows to create and manage orthogonal polynomials.

Features

  • ortpol_quadrature : Returns nodes and weights of a quadrature from alphas and betas

For each polynomial "x", the following functions are available :

  • x_eval — Evaluate polynomial
  • x_norm — Compute L2 norm
  • x_pdf — Evaluate probability distribution function
  • x_poly — Create polynomial
  • x_quadrature — Returns nodes and weights of Gauss quadrature
  • x_variance — Variance of polynomial
  • x_weight — Evaluate weight function

with :

  • x="chebyshev" : Chebyshev Polynomials
  • x="hermite" : Hermite Polynomials
  • x="laguerre" : Laguerre Polynomials
  • x="legendre" : Legendre Polynomials

Dependencies

  • This module depends on the Scilab >=v5.5
  • This module depends on the apifun module (>=0.2).
  • This module depends on the Stixbox module (>=2.2).

Authors

  • Copyright (C) 2013-2015 - Michael Baudin

Forge

http://forge.scilab.org/index.php/p/ortpol/

ATOMS

http://atoms.scilab.org/toolboxes/ortpol

TODO

Development Team
Admins
Michael Baudin

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