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.