Convertible subspaces of Hessenberg-type matrices
type: Item
instance of: scholarly article
title: Convertible subspaces of Hessenberg-type matrices
zbMATH Open document ID: 1392.15015
author: Henrique F.da Cruz
author: Ilda I. Rodrigues
author: R. Serôdio
author: Alberto M. Simões
author: José M. Velhinho
published in: Mathematics
publication date: 2018-07-05T00:00:00Z
review text: Summary: We describe subspaces of generalized Hessenberg matrices where the determinant is convertible into the permanent by affixing \(\pm\) signs. An explicit characterization of convertible Hessenberg-type matrices is presented. We conclude that convertible matrices with the maximum number of nonzero entries can be reduced to a basic set.
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15B99
zbMATH DE Number: 6898708
zbMATH Keywords: determinant
zbMATH Keywords: permanent
zbMATH Keywords: Hessenberg matrix
zbMATH Keywords: convertible matrix
MaRDI profile type: Publication
full work available at URL: math5040079
OpenAlex ID: W2773388212
Wikidata QID: Q62501374
cites work: Conversion of the Permanent into the Determinant
cites work: A characterization of convertible (0,1)-matrices
cites work: Q5605168
cites work: Pfaffian orientations, 0-1 permanents, and even cycles in directed graphs
cites work: Permanents, Pfaffian orientations, and even directed circuits
cites work: An identity between the determinant and the permanent of Hessenberg-type matrices
cites work: An Identity Between Permanents and Determinants
DOI: 10.3390/MATH5040079
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description: scientific article; zbMATH DE number 6898708