Explicit factorization of the Vandermonde matrix
LINEAR ALGEBRA AND ITS APPLICATIONS, cilt.315, sa.1-3, ss.113-123, 2000 (SCI-Expanded, Scopus)
- 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
- 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.