chebspec

Chebyshev spectral differentiation matrix of order <code>n</code>. <code>k</code> determines
 the character of the output matrix. For either form, the eigenvector matrix is ill-conditioned.

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

chebspec function

<dl><dt>n</dt>
<dd>order of the matrix.</dd>
<dt>k</dt>
<dd><code>k=0</code> is the default, no boundary conditions. The matrix is similar to a Jordan block
of size <code>n</code> with eigenvalue 0. If <code>k=1</code>, the matrix is nonsingular
and well-conditioned, and its eigenvalues have negative real parts.</dd></dl>

Arguments

Create Chebyshev spectral differentiation matrix — chebspec

<dl>

<dt>n</dt>
<dd>order of the matrix.</dd>


<dt>k</dt>
<dd><code>k=0</code> is the default, no boundary conditions. The matrix is similar to a Jordan block
of size <code>n</code> with eigenvalue 0. If <code>k=1</code>, the matrix is nonsingular
and well-conditioned, and its eigenvalues have negative real parts.</dd>

</dl>

chebspec: Create Chebyshev spectral differentiation matrix

Description

Usage

Value

Arguments