Functions of a matrix and Krylov matrice
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Hongguo Xu
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Article
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2011
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Elsevier Science
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English
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For a given nonderogatory matrix A, formulas are given for functions of A in terms of Krylov matrices of A. Relations between the coefficients of a polynomial of A and the generating vector of a Krylov matrix of A are provided. With the formulas, linear transformations between Krylov matrices and fu