On computing the inverse of Vandermonde matrix via synthetic divisions

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

A simple method for computing the inverse of Vandermonde matrix via synthetic divisions is introduced. It can be applied to compute each row of the inverse of Vandermonde matrix systematically and effectively. Some illustrative examples are provided. Copyright © 2019 Springer Nature Singapore Pte Ltd.
Original languageEnglish
Title of host publicationTransactions on engineering technologies: 25th World Congress on Engineering (WCE 2017)
EditorsSio-Iong AO, Len GELMAN, Haeng Kon KIM
Place of PublicationSingapore
PublisherSpringer
Pages121-128
ISBN (Electronic)9789811307461
ISBN (Print)9789811307454
DOIs
Publication statusPublished - 2019

Bibliographical note

Man, Y.-K. (2019). On computing the inverse of Vandermonde matrix via synthetic divisions. In S.-I. Ao, L. Gelman, & H. K. Kim (Eds.), Transactions on engineering technologies: 25th World Congress on Engineering (WCE 2017) (pp. 121-128). Singapore: Springer.

Keywords

  • Linear algebra
  • Mathematical computation
  • Matrix inverse
  • Polynomial interpolation
  • Synthetic divisions
  • Vandermonde matrix