LU factorization of the Vandermonde matrix and its applications

Oruc H.

APPLIED MATHEMATICS LETTERS, vol.20, no.9, pp.982-987, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 9
  • Publication Date: 2007
  • Doi Number: 10.1016/j.aml.2006.10.003
  • Journal Name: APPLIED MATHEMATICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.982-987
  • Keywords: Vandermonde matrix, symmetric functions, triangular and bidiagonal factorization, q-Pascal matrix, q-difference equation, CAUCHY
  • Dokuz Eylül University Affiliated: Yes

Abstract

A scaled version of the lower and the upper triangular factors of the inverse of the Vandermonde matrix is given. Two applications of the q-Pascal matrix resulting from the factorization of the Vandermonde matrix at the q-integer nodes are introduced. (C) 2007 Elsevier Ltd. All rights reserved.