On computing the vandermonde matrix inverse

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Abstract

A simple and efficient approach for computing the inverse of Vandermonde matrix is presented in this paper, which is based on synthesis division of polynomials. This approach does not involve matrix multiplication, computation of determinant or solving a system of linear equations for determining the unknown elements of the inverse matrix. Some illustrative examples are provided. Copyright © 2017 Newswood Limited.
Original languageEnglish
Title of host publicationProceedings of the World Congress on Engineering 2017
EditorsS. I. AO, Len GELMAN, David W. L. HUKINS, Andrew HUNTER, A. M. KORSUNSKY
Place of PublicationHong Kong
PublisherNewswood Limited
Pages127-129
ISBN (Electronic)9789881404749
Publication statusPublished - 2017

Citation

Man, Y.-K. (2017). On computing the vandermonde matrix inverse. In S. I. Ao, L. Gelman, D. W. L. Hukins, A. Hunter, & A. M. Korsunsky (Eds.), Proceedings of the World Congress on Engineering 2017 (pp. 127-129). Hong Kong: Newswood Limited.

Keywords

  • Vandermonde matrix
  • Matrix inverse
  • Synthetic division

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