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Computing the determinants of matrix Padé approximation
Authors:Jindong Shen
Affiliation:a Department of Information and Mathematics Sciences, China Jiliang University, Hangzhou 310018, Zhejiang Province, China
b Department of Mathematics, Shanghai University, Shanghai 200444, China
Abstract:
This paper is devoted to a computational problem of two special determinants which appear in the construction of generalized inverse matrix Padé approximants of type [n/2k] for the given power series with matrix coefficients. The main tools to be used are well-known Schur complement theorem and Arnoldi process for skew-symmetric systems.
Keywords:Padé   approximation   Schur complement   Skew-symmetric systems   Arnoldi process
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