chebvand

Produces the (primal) Chebyshev Vandermonde matrix based on
 the points <code>p</code>. <code>C[i,j] = T_{i-1}p[j]</code>, where <code>T_{i-1}</code> is the Chebyshev
 polynomial of degree <code>i-1</code>

Generates a variety of structured test matrices commonly used in numerical linear algebra and computational experiments. Includes well-known matrices for benchmarking and testing the performance, stability, and accuracy of linear algebra algorithms. Inspired by 'MATLAB' 'gallery' functions.

Thomas Hsiao

gallery

Generate Test Matrices for Numerical Experiments

chebvand function

<dl><dt>p</dt>
<dd>points to evaluate. If a scalar, then <code>p</code> equally spaced points
on <code>[0,1]</code> are used.</dd>
<dt>m</dt>
<dd>number of rows of the matrix. <code>chebvand(p, m)</code> is the rectangular version of
<code>chebvand(p)</code> with <code>m</code> rows.</dd></dl>

Arguments

Creating Vandermonde-like matrix for the Chebyshev polynomials — chebvand

<dl>

<dt>p</dt>
<dd>points to evaluate. If a scalar, then <code>p</code> equally spaced points
on <code>[0,1]</code> are used.</dd>


<dt>m</dt>
<dd>number of rows of the matrix. <code>chebvand(p, m)</code> is the rectangular version of
<code>chebvand(p)</code> with <code>m</code> rows.</dd>

</dl>

chebvand: Creating Vandermonde-like matrix for the Chebyshev polynomials

Description

Usage

Value

Arguments