= Gershgorin circle theorem
{wiki=Gershgorin_circle_theorem}
The Gershgorin Circle Theorem is a result in linear algebra that provides a method for locating the eigenvalues of a square matrix. It is particularly useful when analyzing the spectral properties of a matrix without explicitly calculating its eigenvalues. The theorem states that for any \\( n \\times n \\) complex matrix \\( A = \[a_\{ij\}\] \\), the eigenvalues of \\( A \\) lie within certain circles in the complex plane defined by the rows of the matrix.
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