Some lower bounds for the spectral radius of matrices using traces

DOI10.1016/j.laa.2009.10.013zbMath1197.15010OpenAlexW1964679090MaRDI QIDQ846331

Ting-Zhu Huang, Mao-Zhi Xu, Lin Wang

Publication date: 9 February 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.2009.10.013

zbMATH Keywords

eigenvaluespectral radiustracelower bounds

Mathematics Subject Classification ID

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

Related Items (2)

Estimates for the real and imaginary parts of the eigenvalues of matrices and applications ⋮ Bounds on the Spectral Radius of Digraphs from Subgraph Counts

Cites Work

• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• Improving bounds for eigenvalues of complex matrices using traces
• More bounds for eigenvalues using traces
• Bounds for eigenvalues using traces
• Lower bounds for the spectral radius of a matrix
• Bounds for eigenvalues using the trace and determinant
• Bounds for sums of eigenvalues and applications
• The best possible lower bound for the Perron root using traces
• Best possible bounds for ordered positive numbers using their sum and product
• On the Continuous Dependence of the Roots of a Polynomial on its Coefficients

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