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Gerschgorin Circle Theorem

Illustrates how the Gershgorin circle theorem can be used to bound the eigenvalues of a matrix. You can select a random \(4\times4\) matrix or a special \(4\times4\) matrix that has at least one disjoint Gershgorin circle. You can see either the separate Gershgorin circles with the eigenvalues or a plot that superimposes all the circles.

Identifier: 
http://demonstrations.wolfram.com/GershgorinCircleTheorem/
Rating: 
Average: 3.5 (2 votes)
Creator(s): 
Housam Binous and Brian G. Higgins
Cataloger: 
David Poole
Publisher: 
Wolfram Demonstrations Project
Rights: 
Housam Binous, Brian G. Higgins and Wolfram Research
Format Other: 
Requires down loading the CDF player from Wolfram (https://www.wolfram.com/cdf-player/).

Comments

Anonymous's picture

This applet is very effective at displaying the Gerschgorin circles associated with the eigenvalues of a \(4\times4\) matrix. User-defined matrices are not allowed but users can select either a random matrix or a pre-defined matrix that has a disjoint Gerschgorin circle. The actual eigenvalues and the radii of the circles are computed.
Anonymous's picture

Interesting

Dummy View - NOT TO BE DELETED