Mathematics.Physics and Chemistry

Rational Interpolation of Lagrange-Type Matrix in Inner Product Space

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  • (College of Sciences, Shanghai University, Shanghai 200444, China)

Online published: 2012-08-30

Abstract

This paper proposes three different procedures for matrixvalued rational interpolation of a function  F (z), where F:C→CN×N, and devises an algorithm for selecting interpolation points of rational iterpolants with prescribed poles. Additionally, a numerical example is used to demonstrate effectiveness of the presented methods.

Cite this article

GU Chuan-qing, ZHANG Ke, WANG Feng . Rational Interpolation of Lagrange-Type Matrix in Inner Product Space[J]. Journal of Shanghai University, 2012 , 18(4) : 365 -370 . DOI: 10.3969/j.issn.1007-2861.2012.04.007

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