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Journal of Shanghai University >

2012 , Vol. 18 >Issue 3: 261 - 264

DOI: https://doi.org/10.3969/j.issn.1007-2861.2012.03.009

Mathematics.Physics and Chemistry

A New Algorithm for Computing the Determinant of  Generalized Inverse Function Valued Padé Approximants

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  • (1. College of Sciences, Shanghai University, Shanghai 200444, China;2. Department of Mathematics, Chaohu College, Chaohu 238000, Anhui, China)

Online published: 2012-06-30

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Abstract

This paper caculates the determinant appearing in the construction of generalized inverse functionvalued Padé approximants. The main tools used are Arnoldi’s process for solving skewsymmetric system. Several algorithms are presented to compute the［n/2k］f(x,λ)type generalized inverse functionvalued Padé approximant. A numerical example is given to show effectiveness of the presented method.

Key words： approximant; Arnoldi’s process; function-valued Padé; generalized inverse; Schur complement; skew-symmetric system

Cite this article

WU Yong-sheng1,2,GU Chuan-qing1 . A New Algorithm for Computing the Determinant of  Generalized Inverse Function Valued Padé Approximants[J]. Journal of Shanghai University, 2012 , 18(3) : 261 -264 . DOI: 10.3969/j.issn.1007-2861.2012.03.009

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