Some new inequalities for the Hadamard product of \(M\)-matrices

DOI10.1186/1029-242X-2013-581zbMath1293.15014WikidataQ59300805 ScholiaQ59300805MaRDI QIDQ2249059

Fu-Bin Chen

Publication date: 8 July 2014

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

zbMATH Keywords

Hadamard product\(M\)-matrixlower boundsminimum eigenvalue

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Multilinear algebra, tensor calculus (15A69)

Cites Work

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• Lower bounds for the minimum eigenvalue of Hadamard product of an \(M\)-matrix and its inverse
• New lower bounds on eigenvalue of the Hadamard product of an \(M\)-matrix and its inverse
• Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices
• A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diagonal matrix
• An inequality for the Hadamard product of an M-matrix and an inverse M- matrix
• On a conjecture of Fiedler and Markham
• Proof of a conjecture of Fiedler and Markham
• On an inequality for the Hadamard product of an \(M\)-matrix and its inverse
• Some inequalities for the Hadamard product and the Fan product of matrices
• Matrix Analysis

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