Multiple orthogonal polynomials are polynomials in one variable that are orthogonal with respect to a finite family of measures.
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A simple method for constructing orthogonal polynomials when the independent variable is unequally spaced.
The basic task is to compute the coefficients in the three-term recurrence relation for the orthogonal polynomials. This can be done by methods relying either ...
A set of orthogonal polynomials is an infinite sequence of polynomials ... Much of the effort in practical quantum chemistry involves finding eigenfunctions and ...
The orthogonal polynomial is summarized by the coefficients, which can be used to evaluate it via the three-term recursion given in Kennedy & Gentle (1980, pp.
Jan 2, 2019 · ... computing orthogonal polynomials of Sobolev type. Chapter 3 is devoted to applications, specifically numerical quadrature, discrete least ...
Returns orthogonal polynomials of degree 1 to degree over the specified set of points x . These are all orthogonal to the constant polynomial of degree 0.
Orthogonal polynomials, unless they are classical, require special techniques for their computation. One of the central problems is to generate the ...
Description. Returns or evaluates orthogonal polynomials of degree 1 to degree over the specified set of points x : these are all orthogonal to the constant ...
Apr 22, 2017 · Orthogonal polynomials are defined by generating functions of one sort or another, which is often where the funny scalings come from.