forsythe

Returns a <code>n</code>-by-<code>n</code> matrix equal to the Jordan block with
 eigenvalue <code>lambda</code>, except that <code>A[n,1]=alpha</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

forsythe function

<dl><dt>n</dt>
<dd>order of matrix</dd>
<dt>alpha</dt>
<dd>value of perturbation at <code>A[n,1]</code></dd>
<dt>lambda</dt>
<dd>eigenvalue of Jordan block</dd></dl>

Arguments

Create Forsythe matrix or perturbed Jordan block — forsythe

<dl>

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


<dt>alpha</dt>
<dd>value of perturbation at <code>A[n,1]</code></dd>


<dt>lambda</dt>
<dd>eigenvalue of Jordan block</dd>

</dl>

forsythe: Create Forsythe matrix or perturbed Jordan block

Description

Usage

Value

Arguments