On computing the inverse of Vandermonde matrix

Yiu Kwong MAN

Research output: Contribution to journalArticlespeer-review

Abstract

We present a novel simple approach for computing the inverse of Vandermonde matrix via synthetic divisions. This approach does not require matrix multiplication, computing determinant or solving a system of linear equations for determining the entries of the inverse of the given Vandermonde matrix. Some numerical examples are provided. Copyright © 2018 Research India Publications.
Original languageEnglish
Pages (from-to)15-21
JournalAdvances in Theoretical and Applied Mathematics
Volume13
Issue number1
Publication statusPublished - 2018

Citation

Man, Y.-K. (2018). On computing the inverse of Vandermonde matrix. Advances in Theoretical and Applied Mathematics, 13(1), 15-21.

Keywords

  • Vandermonde matrix
  • Matrix inverse
  • Synthetic divisions
  • Polynomial interpolation

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