Explicit factorization of the Vandermonde matrix

Oruc H., Phillips G.

LINEAR ALGEBRA AND ITS APPLICATIONS, cilt.315, sa.1-3, ss.113-123, 2000 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 315 Sayı: 1-3
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1016/s0024-3795(00)00124-5
  • Dergi Adı: LINEAR ALGEBRA AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.113-123
  • Anahtar Kelimeler: Vandermonde matrix, symmetric function, triangular and l-banded factorization, SYSTEMS, ALGORITHMS
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.