Computing Eigenvalues Using the QR Algorithm

Topic(s):

This application demonstrates how the QR algorithm can be used to compute eigenvalues.

Identifier:

http://demonstrations.wolfram.com/ComputingEigenvaluesUsingTheQRAlgorithm/

Subject:

Linear Algebra

Eigenvalues and Eigenvectors

Rating:

Creator(s):

Housam Binous and Brian G. Higgins

Cataloger:

Tom Polaski

Publisher:

Wolfram Demonstrations Project

Rights:

Housam Binous and Brian G. Higgins and Wolfram Research

Format Other:

Requires downloading the CDF player from Wolfram (https://www.wolfram.com/cdf-player/).

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Comments

Users see the resulting matrix at each step

Permalink Submitted by Anonymous (not verified) on Tue, 2014-07-29 18:31

This application takes a random 4 by 4 matrix and applies the QR algorithm to it. Users see the resulting matrix at each step, and also can see (if they choose) the values of the eigenvalues to which the diagonal elements are converging. A summary of the algorithm is provided.