More bounds for eigenvalues using traces

DOI10.1016/0024-3795(80)90201-3zbMath0434.15003OpenAlexW2055147466WikidataQ126807128 ScholiaQ126807128MaRDI QIDQ1139642

Henry Wolkowicz, George P. H. Styan

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90201-3

zbMATH Keywords

complex matrix

Mathematics Subject Classification ID

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

Related Items (15)

Note on bounds for eigenvalues using traces ⋮ Bounds for singular values using traces ⋮ A computational study of graph partitioning ⋮ Localization of eigenvalues in elliptic regions ⋮ Some lower bounds for the spectral radius of matrices using traces ⋮ Bounds for eigenvalues using traces ⋮ Bounds on the Spectral Radius of Digraphs from Subgraph Counts ⋮ Finding all multiple stable fixpoints of \(n\)-species Lotka-Volterra competition models ⋮ Testing for constancy in varying coefficient models ⋮ Generating Eigenvalue Bounds Using Optimization ⋮ Improving bounds for eigenvalues of complex matrices using traces ⋮ Bounds for ratios of eigenvalues using traces ⋮ Lower bounds for the spread of a matrix ⋮ A decreasing sequence of eigenvalue localization regions ⋮ On the spread of certain normal matrices

Cites Work

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• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• Bounds for eigenvalues using traces
• Eine Abschätzung für die subdominanten Eigenwerte nichtnegativer Matrizen
• The spread of a matrix
• Über die konvexe Hülle der Eigenwerte einer Matrix
• On Measures of Non-Normality for Matrices
• Inequalities of Chebyshev Type Involving Conditional Expectations
• On non-normal matrices

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