Title: Evaluations of matrix functions by real similarity transformation
Abstract: An effective way of constructing transforming matrix which similarly transforms a real square matrix to a quasi-diagonal form, is obtained. The transforming matrix as well as the quasi-diagonal form are real, regardless whether the given matrix has real eigenvalues or not. Formulas are included; they can be applied conveniently to evaluate a matrix function f(A) from the given scalar function f(λ). Three examples are given to illustrate the ease of application. These are the solutions of system differential equations of first and second order, and the determination of Nth root of a square matrix.
Publication Year: 1973
Publication Date: 1973-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 3
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