On the LU factorization of the Vandermonde matrix
type: Item
instance of: scholarly article
title: On the LU factorization of the Vandermonde matrix
zbMATH Open document ID: 1065.15014
published in: Discrete Applied Mathematics
publication date: 2005-02-23T00:00:00Z
review text: As the main result, the author shows that the Vandermonde matrix \(V_n\) can be factorized into \(n\) \(1\)-lower banded matrices and \(n\) \(1\)-upper banded matrices. The proof is short and uses symmetric functions and \(LU\) factorization. The theorem is a modification of a result by \textit{H. Oruç} and \textit{G. M. Phillips} [Linear Algebra Appl. 315, 113--123 (2000; Zbl 0959.15011)].
reviewed by: Erich W. Ellers
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 2137382
zbMATH Keywords: Vandermonde matrix
zbMATH Keywords: symmetric function
zbMATH Keywords: \(LU\) factorization
author: Shengliang Yang
MaRDI profile type: Publication
full work available at URL: j.dam.2004.08.003
OpenAlex ID: W2056066584
cites work: Explicit factorization of the Vandermonde matrix
DOI: 10.1016/J.DAM.2004.08.003
description: scientific article; zbMATH DE number 2137382