Journal of Shanghai University(Natural Science Edition) ›› 2012, Vol. 18 ›› Issue (4): 365-370.doi: 10.3969/j.issn.1007-2861.2012.04.007

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Rational Interpolation of Lagrange-Type Matrix in Inner Product Space

GU Chuan-qing, ZHANG Ke, WANG Feng   

  1. (College of Sciences, Shanghai University, Shanghai 200444, China)
  • Online:2012-08-30 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.

Key words:  matrixvalued rational interpolation, Lagrange interpolation, scalar product of matrix

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