Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices
type: Item
instance of: scholarly article
title: Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices
zbMATH Open document ID: 1214.65021
author: Walter Gautschi
published in: BIT
publication date: 2011-05-04T00:00:00Z
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 15A12
zbMATH DE Number: 5883645
zbMATH Keywords: singular value decomposition
zbMATH Keywords: condition numbers
zbMATH Keywords: Vandermonde matrices
zbMATH Keywords: optimal scaling
zbMATH Keywords: optimal conditioning
zbMATH Keywords: numerical examples
zbMATH Keywords: Vandermonde-Jacobi matrices
zbMATH Keywords: ill-conditioned matrices
describes a project that uses: OPQ
MaRDI profile type: Publication
full work available at URL: s10543-010-0293-1
OpenAlex ID: W2011138697
cites work: The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
cites work: Norm estimates for inverses of Vandermonde matrices
cites work: Optimally conditioned Vandermonde matrices
cites work: The condition of Vandermonde-like matrices involving orthogonal polynomials
cites work: Q4820343
cites work: Lower bounds for the condition number of Vandermonde matrices
cites work: Q3084090
cites work: Error analysis of the Björck-Pereyra algorithms for solving Vandermonde systems
cites work: Fast Solution of Vandermonde-Like Systems Involving Orthogonal Polynomials
cites work: Q4061445
cites work: Condition numbers and equilibration of matrices
DOI: 10.1007/S10543-010-0293-1
description: scientific article; zbMATH DE number 5883645