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
WU Yong-sheng1,2,GU Chuan-qing1
Online:
Published:
Abstract: This paper caculates the determinant appearing in the construction of generalized inverse functionvalued Padé approximants. The main tools used are Arnoldi’s process for solving skewsymmetric system. Several algorithms are presented to compute the[n/2k]f(x,λ)type generalized inverse functionvalued 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:
O 241.83
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(Natural Science Edition), 2012, 18(3): 261-264.
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URL: https://www.journal.shu.edu.cn/EN/10.3969/j.issn.1007-2861.2012.03.009
https://www.journal.shu.edu.cn/EN/Y2012/V18/I3/261