Products of matrices with prescribed nullities and traces
type: Item
instance of: scholarly article
title: Products of matrices with prescribed nullities and traces
zbMATH Open document ID: 0869.15009
DOI: 10.1016/0024-3795(95)00680-X
author: J. D. Botha
published in: Linear Algebra and its Applications
publication date: 1997-03-13T00:00:00Z
review text: Let \(A\) and \(A_i\) be matrices over a field \(F\). The author gives necessary and sufficient conditions for a matrix \(A\) to be a product of matrices \(A_i\), \(i=1,\dots,k\), where each \(A_i\) has prescribed trace. If \(A\) is a singular matrix, then factorizations are considered, where for each \(A_i\) the nullity and the trace are prescribed. The results are applied to write \(A\) as a product of additive commutators.
reviewed by: Erich W. Ellers
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 991122
zbMATH Keywords: prescribed nullity
zbMATH Keywords: product of matrices
zbMATH Keywords: prescribed trace
zbMATH Keywords: factorizations
zbMATH Keywords: additive commutators
MaRDI profile type: Publication
cites work: On matrices of trace zero
cites work: Factorization of a singular matrix into nilpotent matrices with prescribed ranks
cites work: On Similarity and the Diagonal of a Matrix
cites work: Q3293417
cites work: The operator factorization problems
description: scientific article; zbMATH DE number 991122