Some new inequalities for the minimum eigenvalue of \(M\)-matrices

DOI10.1186/s13660-015-0723-3zbMath1335.15026OpenAlexW1593795510WikidataQ59435086 ScholiaQ59435086MaRDI QIDQ264843

De-shu Sun, Feng Wang

Publication date: 1 April 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0723-3

zbMATH Keywords

inequalitiesspectral radiusHadamard product\(M\)-matrixnonnegative matrixminimum eigenvalue

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69)

Related Items (2)

Several new inequalities for the minimum eigenvalue of \(M\)-matrices ⋮ A fast and stable test to check if a weakly diagonally dominant matrix is a nonsingular M-matrix

Cites Work

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• An inequality for the Hadamard product of an M-matrix and an inverse M- matrix
• Some new bounds for the minimum eigenvalue of the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix
• New inequalities for the minimum eigenvalue ofM-matrices
• On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics

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