Improving bounds for eigenvalues of complex matrices using traces

DOI10.1016/j.laa.2007.06.008zbMath1140.15019OpenAlexW1983599901WikidataQ112882153 ScholiaQ112882153MaRDI QIDQ996335

Lin Wang, Ting-Zhu Huang

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.06.008

zbMATH Keywords

localizationtraceseigenvalue boundscomplex matrixspectral radius bounds

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (9)

Bounds for absolute values and imaginary parts of matrix eigenvalues via traces ⋮ Some inequalities related to eigenvalues ⋮ Some lower bounds for the spectral radius of matrices using traces ⋮ Remark on upper bounds for the spread of a matrix ⋮ Estimates for the real and imaginary parts of the eigenvalues of matrices and applications ⋮ Upper bounds for the spread of a matrix ⋮ Estimation of the eigenvalues and the smallest singular value of matrices ⋮ Bounds for the skew Laplacian (skew adjacency) spectral radius of a digraph ⋮ Bounds and Majorization Relations for the Zeros of Polynomials

Cites Work

• More bounds for eigenvalues using traces
• Bounds for eigenvalues using traces
• Lower bounds for the spectral radius of a matrix
• Localization of eigenvalues in elliptic regions
• New eigenvalue estimates for complex matrices
• Matrix Analysis
• On Measures of Non-Normality for Matrices
• On non-normal matrices

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