= Analytic function of a matrix
{wiki=Analytic_function_of_a_matrix}
An analytic function of a matrix is a generalization of the concept of analytic functions from complex analysis to the setting of matrices. In complex analysis, a function \\( f(z) \\) is called analytic at a point \\( z_0 \\) if it can be represented by a power series around \\( z_0 \\). In a similar way, when we talk about matrices, we consider functions that can be expressed as power series in terms of matrices.
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