Journal of Shanghai University(Natural Science Edition) ›› 2012, Vol. 18 ›› Issue (3): 261-264.doi: 10.3969/j.issn.1007-2861.2012.03.009

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

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

WU Yong-sheng1,2,GU Chuan-qing1   

  1. (1. College of Sciences, Shanghai University, Shanghai 200444, China;2. Department of Mathematics, Chaohu College, Chaohu 238000, Anhui, China)
  • Online:2012-06-30 Published:2012-06-30

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

CLC Number: