Estimation of the eigenvalues and the smallest singular value of matrices

DOI10.1016/j.laa.2010.05.002zbMath1200.15010OpenAlexW2013769791MaRDI QIDQ989061

Youyi Jiang, Li-Min Zou

Publication date: 27 August 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.05.002

zbMATH Keywords

normdiskeigenvaluestraceboundscomplex matricessmallest singular valueFrobenius normslocations

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (7)

Witness operator provides better estimate of the lower bound of concurrence of bipartite bound entangled states in \(d_1\otimes d_2\)-dimensional system ⋮ Multiple rank-1 lattices as sampling schemes for multivariate trigonometric polynomials ⋮ New lower bounds on the minimum singular value of a matrix ⋮ Spectral analysis of singular matrices in SIMO channel ⋮ A note on impulsive control of nonlinear systems with impulse time window ⋮ Upper bounds for the spread of a matrix ⋮ A systematic approach towards robust stability analysis of integral delay systems with general interval kernels

Cites Work

• A note on a lower bound for the smallest singular value
• A Gershgorin-type lower bound for the smallest singular value
• Estimation of \(\| A ^{-1} \|_\infty \) and the smallest singular value
• Improving bounds for eigenvalues of complex matrices using traces
• A lower bound for the smallest singular value of a matrix
• Further lower bounds for the smallest singular value
• Matrix Analysis
• On non-normal matrices
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