Construction of real antisymmetric and bi-antisymmetric matrices with prescribed spectrum data
type: Item
instance of: scholarly article
title: Construction of real antisymmetric and bi-antisymmetric matrices with prescribed spectrum data
zbMATH Open document ID: 1069.15013
author: Qingxiang Yin
published in: Linear Algebra and its Applications
publication date: 2004-11-22T00:00:00Z
review text: The author establishes some sufficient conditions on a given set of pure imaginary numbers for the existence of a real skew-symmetric matrix whose leading principal submatrices have prescribed eigenvalues from the set, and for the existence of a real centrosymmetric skew-symmetric matrix (which the author calls a ``bi-antisymmetric matrix'') whose central submatrices have prescribed eigenvalues from the set. For additional references concerning the results of Section 2 of this paper, see, for example, the reviewer [SIAM Rev. 40, No. 3, 697--698 (1998; Zbl 0918.15006)].
reviewed by: Alan L. Andrew
Mathematics Subject Classification ID: 15A29
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 2117284
zbMATH Keywords: inverse eigenvalue problem
zbMATH Keywords: centrosymmetric matrices
zbMATH Keywords: antisymmetric matrix
zbMATH Keywords: bi-antisymmetric matrix
MaRDI profile type: Publication
full work available at URL: j.laa.2004.02.035
OpenAlex ID: W4231424827
cites work: Reduction of the Eigenproblem for Hermitian Persymmetric Matrices
cites work: Matrix Analysis
cites work: Secondary symmetric, skewsymmetric and orthogonal matrices
cites work: Classroom Note: Some Eigenvalue Properties of Persymmetric Matrices
cites work: Q4271772
DOI: 10.1016/J.LAA.2004.02.035
description: scientific article; zbMATH DE number 2117284