Almost skew-symmetric matrices
type: Item
instance of: scholarly article
title: Almost skew-symmetric matrices
zbMATH Open document ID: 1058.15029
author: M. Tsatsomeros
author: J. J. McDonald
author: Panayiotis J. Psarrakos
published in: Rocky Mountain Journal of Mathematics
publication date: 2004-09-27T00:00:00Z
review text: It is shown that almost skew-symmetry is invariant under a principal pivot transform and inversion, and that the symmetric parts of Schur complements in almost skew-symmetric matrices have at most rank one. Affine combinations of \(A\) and \(A^{t}\) are also used to gain further insight into eigenvalue location and the numerical range of an almost skew-symmetric matrix.
reviewed by: Salah Mecheri
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 05C20
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 2103629
zbMATH Keywords: almost skew-symmetric matrix
zbMATH Keywords: numerical range
zbMATH Keywords: principal pivot transform tournament
zbMATH Keywords: inversion
zbMATH Keywords: Schur complements
zbMATH Keywords: rank
zbMATH Keywords: eigenvalue location
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181069905
OpenAlex ID: W2011069313
cites work: Q5690490
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DOI: 10.1216/RMJM/1181069905
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description: scientific article; zbMATH DE number 2103629