On a conjecture about the Jordan form of completions of partial upper triangular matrices
type: Item
instance of: scholarly article
title: On a conjecture about the Jordan form of completions of partial upper triangular matrices
zbMATH Open document ID: 0882.15005
DOI: 10.1016/S0024-3795(97)80016-X
published in: Linear Algebra and its Applications
publication date: 1997-07-28T00:00:00Z
review text: The author gives a counterexample to a conjecture by \textit{L. Rodman} and \textit{T. Shalom} [ibid. 168, 221-249 (1992; Zbl 0748.15011)] concerning the possible Jordan normal forms of nilpotent matrices where the entries in the upper triangular part are prescribed.
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 1040500
zbMATH Keywords: partial upper triangular matrices
zbMATH Keywords: counterexample
zbMATH Keywords: Jordan normal forms
zbMATH Keywords: nilpotent matrices
Wikidata QID: Q123149072
author: F. C. Silva
reviewed by: Rabe von Randow
MaRDI profile type: Publication
cites work: On the eigenvalues of matrices with given upper triangular part
cites work: A classification of upper equivalent matrices. The generic case
cites work: Controllability and completion of partial upper triangular matrices over rings
cites work: Controllability by completions of partial upper triangular matrices
cites work: Jordan forms of completions of partial upper triangular matrices
cites work: Q3199579
cites work: Matrices with prescribed lower triangular part
full work available at URL: s0024-3795(97)80016-x
OpenAlex ID: W2031649359
description: scientific article; zbMATH DE number 1040500