Gershgorin Circles

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Gershgorin's circle theorem states that the eigenvalues of a matrix are contained within a union of a series of disks in the complex plane. The centers of these disks are given by the diagonal elements of the matrix; the radii by sum of the absolute values of the off-diagonal elements in the corresponding row or column. Eigenvalues are shown in red.

Contributed by: Chris Maes (March 2011)
Open content licensed under CC BY-NC-SA




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