Matrices with prescribed nonprincipal blocks and the trace function
type: Item
instance of: scholarly article
title: Matrices with prescribed nonprincipal blocks and the trace function
zbMATH Open document ID: 0723.15005
DOI: 10.1016/0024-3795(91)90015-O
author: Maria da Graça Marques
published in: Linear Algebra and its Applications
publication date: 1991-01-01T00:00:00Z
review text: Let A and B be two \(n\times n\) matrices over an arbitrary field. The author shows that for \(n\geq 3\), there exist invertible matrices U and V such that \(VAU^{-1}+UBV^{-1}\) is nonscalar and has a prescribed trace. When \(n=2\), the result fails only when the field has two or three elements and A and B are certain matrices.
reviewed by: Ali-Akbar Jafarian
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 4191894
zbMATH Keywords: prescribed nonprincipal blocks
zbMATH Keywords: prescribed trace
MaRDI profile type: Publication
cites work: Q3887604
cites work: Q3803265
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description: scientific article; zbMATH DE number 4191894