New inequalities for the minimum eigenvalue ofM-matrices

DOI10.1080/03081087.2012.746332zbMath1278.15024OpenAlexW2080413203MaRDI QIDQ2851014

Chaoqian Li, Ruijuan Zhao, Yao-Tang Li

Publication date: 1 October 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.746332

zbMATH Keywords

spectral radiusHadamard product\(M\)-matrixnonnegative matrixinverseirreducibleminimum eigenvaluediagonally dominant

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (7)

Some new inequalities for the minimum eigenvalue of \(M\)-matrices ⋮ 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 ⋮ Some lower bounds with a parameter for the minimum eigenvalue of Hadamard product of \(M\)-matrices and inverse \(M\)-matrices ⋮ New bounds for the minimum eigenvalue of \(M\)-matrices ⋮ Some new inequalities for the minimum \(H\)-eigenvalue of nonsingular \(M\)-tensors ⋮ Inequalities for the minimum eigenvalue of doubly strictly diagonally dominant \(M\)-matrices

Cites Work

• New lower bounds on eigenvalue of the Hadamard product of an \(M\)-matrix and its inverse
• An inequality for the Hadamard product of an M-matrix and an inverse M- matrix
• On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics

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