# 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:
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:
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.