Which theorem provides a way to locate the eigenvalues of a complex square matrix within circles in the complex plane?
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Gershgorin Circle Theorem
The theorem states that every eigenvalue of a matrix lies within at least one Gershgorin disc, where the center of the disc is a diagonal element and the radius is the sum of the absolute values of the other elements in that row. It is useful for bounding eigenvalues without calculating them.
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- Which theorem uses discs in the complex plane to bound the locations of a square matrix's eigenvalues?