On computing the inverse of Vandermonde matrix

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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

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Vandermonde Matrix
Computing
Matrix multiplication
System of Linear Equations
Division
Determinant
Numerical Examples

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