Jordan structures of upper equivalent matrices
type: Item
instance of: scholarly article
title: Jordan structures of upper equivalent matrices
zbMATH Open document ID: 0882.15006
DOI: 10.1016/S0024-3795(96)00367-9
author: Mark Krupnik
published in: Linear Algebra and its Applications
publication date: 1997-08-05T00:00:00Z
review text: In an earlier paper by \textit{M. Krupnik} and \textit{A. Leibman} [Integral Equations Oper. Theory 23, No. 4, 459-471 (1995; Zbl 0839.15005)] it was proved that the strictly lower triangular part of a nilpotent matrix may be altered to achieve any desired sequence of sizes of the Jordan blocks of the resulting nilpotent matrix, so long as it majorizes the sequence of sizes of the Jordan blocks of the original matrix. In the present paper, this result is extended to include the case of a non-nilpotent matrix.
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 1044251
zbMATH Keywords: Jordan structures
zbMATH Keywords: upper equivalent matrices
zbMATH Keywords: nilpotent matrix
zbMATH Keywords: non-nilpotent matrix
reviewed by: Rabe von Randow
MaRDI profile type: Publication
cites work: On the eigenvalues of matrices with given upper triangular part
cites work: Semi-stability of sums of partial multiplicities under additive perturbation
cites work: A classification of upper equivalent matrices. The generic case
cites work: Jordan structures of strictly lower triangular completions of nilpotent matrices
cites work: The change of the Jordan structure of a matrix under small perturbations
cites work: Jordan forms of completions of partial upper triangular matrices
cites work: Matrices with prescribed lower triangular part
full work available at URL: s0024-3795(96)00367-9
OpenAlex ID: W1963655143
description: scientific article; zbMATH DE number 1044251