Explicit factorization of the Vandermonde matrix

Citation
H. Oruc et Gm. Phillips, Explicit factorization of the Vandermonde matrix, LIN ALG APP, 315(1-3), 2000, pp. 113-123
Citations number
13
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
315
Issue
1-3
Year of publication
2000
Pages
113 - 123
Database
ISI
SICI code
0024-3795(20000815)315:1-3<113:EFOTVM>2.0.ZU;2-Y
Abstract
The LU factorization of the Vandermonde matrix is obtained, using complete symmetric functions, and the lower and upper triangular matrices are, in tu rn, factorized into 1-banded matrices, thus expressing the Vandermonde matr ix as a product of 1-banded matrices. (C) 2000 Elsevier Science Inc. All ri ghts reserved.