LU factorization of the Vandermonde matrix and its applications

Oruc H.

APPLIED MATHEMATICS LETTERS, cilt.20, sa.9, ss.982-987, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 9
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.aml.2006.10.003
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.982-987
  • Anahtar Kelimeler: Vandermonde matrix, symmetric functions, triangular and bidiagonal factorization, q-Pascal matrix, q-difference equation, CAUCHY
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.