Error-free matrix symmetrizers and equivalent symmetric matrices
type: Item
instance of: scholarly article
title: Error-free matrix symmetrizers and equivalent symmetric matrices
zbMATH Open document ID: 0723.65023
DOI: 10.1007/BF00047212
author: V. Ch. Venkaiah
author: Syamal K. Sen
published in: Acta Applicandae Mathematicae
publication date: 1990-01-01T00:00:00Z
review text: Given a matrix A, then the symmetric matrix X satisfying \(XA=A'X\) is called a symmetrizer of A. A procedure is given to determine X. Use is made of floating-point modular arithmetic. Computational results are given.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 4192953
zbMATH Keywords: error-free matrix symmetrizers
zbMATH Keywords: eigenvalues
zbMATH Keywords: numerical examples
zbMATH Keywords: matrix equation
zbMATH Keywords: multiple modulus residue arithmetic
zbMATH Keywords: equivalent symmetric matrix
zbMATH Keywords: Hessenberg matrices
zbMATH Keywords: nonsymmetric eigenvalue problem
zbMATH Keywords: parallel implementation
zbMATH Keywords: QR transformation
zbMATH Keywords: floating-point modular arithmetic
MaRDI profile type: Publication
cites work: An algorithm for computing powers of a Hessenberg matrix and its applications
cites work: The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
cites work: Q3340031
cites work: Correction to convergence of the QR algorithm
cites work: Residue Arithmetic Algorithms for Exact Computation ofg-Inverses of Matrices
cites work: The role of symmetric matrices in the study of general matrices
cites work: On the similarity transformation between a matrix and its transpose
cites work: On computing an equivalent symmetric matrix for a nonsymmetric matrix
cites work: Computing a matrix symmetrizer exactly using modified multiple modulus residue arithmetic
cites work: Q5674306
cites work: Q5180217
full work available at URL: https://doi.org/10.1007/bf00047212
OpenAlex ID: W1982723514
description: scientific article; zbMATH DE number 4192953