Explicit factorization of the Vandermonde matrix

Oruc H., Phillips G.

LINEAR ALGEBRA AND ITS APPLICATIONS, vol.315, no.1-3, pp.113-123, 2000 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 315 Issue: 1-3
  • Publication Date: 2000
  • Doi Number: 10.1016/s0024-3795(00)00124-5
  • Journal Name: LINEAR ALGEBRA AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.113-123
  • Keywords: Vandermonde matrix, symmetric function, triangular and l-banded factorization, SYSTEMS, ALGORITHMS
  • Dokuz Eylül University Affiliated: Yes

Abstract

The LU factorization of the Vandermonde matrix is obtained, using complete symmetric functions, and the lower and upper triangular matrices are, in turn, factorized into 1-banded matrices, thus expressing the Vandermonde matrix as a product of 1-banded matrices. (C) 2000 Elsevier Science Inc. All rights reserved.