A new algorithm for the computation of canonical forms of matrices over fields
type: Item
instance of: scholarly article
title: A new algorithm for the computation of canonical forms of matrices over fields
zbMATH Open document ID: 0884.65034
published in: Journal of Symbolic Computation
publication date: 1998-04-02T00:00:00Z
review text: The author introduces a new algorithm for computing canonical forms of matrices over fields. In particular, primary rational, rational, and Jordan canonical forms are considered. The method is based on a decomposition of the vector space acted on by the given matrix into primary cyclic spaces. An efficient implementation is incorporated in the MAGMA computer algebra system.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 1077122
zbMATH Keywords: algebraic computation
zbMATH Keywords: MAGMA computer algebra system
zbMATH Keywords: rational canonical forms
zbMATH Keywords: cyclic space decomposition
zbMATH Keywords: algorithm
zbMATH Keywords: matrices over fields
zbMATH Keywords: Jordan canonical forms
author: Allan K. Steel
reviewed by: F. Szidarovszky
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: jsco.1996.0142
OpenAlex ID: W2060788193
DOI: 10.1006/JSCO.1996.0142
description: scientific article; zbMATH DE number 1077122