Bounds for singular values using traces
type: Item
instance of: scholarly article
title: Bounds for singular values using traces
zbMATH Open document ID: 0813.15016
DOI: 10.1016/0024-3795(94)90473-1
author: Jorma K. Merikoski
author: Humberto Sarria
author: Pablo Tarazaga
published in: Linear Algebra and its Applications
publication date: 1995-01-08T00:00:00Z
review text: The authors use optimization to give bounds for the singular values, ratios of singular values, and rank of a square complex matrix \(A\), in terms of \(tr A\), \(tr A^ 2\), and \(tr A^*A\); where \(A^*\) denotes the adjoint of \(A\). Some of the results are similar to the known bounds for the eigenvalues, ratios of eigenvalues, and rank of \(A\) involving \(tr A\) and \(tr A^ 2\).
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 698643
zbMATH Keywords: trace
zbMATH Keywords: singular values
zbMATH Keywords: rank
zbMATH Keywords: complex matrix
zbMATH Keywords: eigenvalues
reviewed by: Ali-Akbar Jafarian
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90473-1
OpenAlex ID: W1971633085
cites work: Q3960954
cites work: Matrix Analysis
cites work: Q4040931
cites work: Q5331504
cites work: Bounds for ratios of eigenvalues using traces
cites work: Improving eigenvalue bounds using extra bounds
cites work: Eigenvalue estimates for symmetric matrices
cites work: More estimates for eigenvalues and singular values
cites work: Bounds for eigenvalues using traces
cites work: More bounds for eigenvalues using traces
cites work: Q3998476
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description: scientific article; zbMATH DE number 698643