On two functions of a matrix with positive definite Hermitian part
type: Item
instance of: scholarly article
title: On two functions of a matrix with positive definite Hermitian part
zbMATH Open document ID: 0857.15012
DOI: 10.1016/0024-3795(94)00208-8
author: Ji-guang Sun
published in: Linear Algebra and its Applications
publication date: 1997-03-11T00:00:00Z
review text: The two functions are \(H(A^{-1})^{-1}\) and \(A^{-1}A^H\) where \(H(A)\) is the Hermitian part of \(A\) and \(A^H\) is the conjugate transpose. The author obtains new and improved bounds for norms and eigenvalues when we perturb \(A\) to some \(A+E\).
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 931939
zbMATH Keywords: perturbation bounds
zbMATH Keywords: Hermitian part
zbMATH Keywords: norms
zbMATH Keywords: eigenvalues
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00208-8
OpenAlex ID: W2015717222
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description: scientific article; zbMATH DE number 931939