Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices

DOI10.1016/j.laa.2009.08.036zbMath1181.15027OpenAlexW1975990366MaRDI QIDQ1044544

Yan-Yan Li, Ya-Qiang Wang, Yao-Tang Li, Rui-Wu Wang

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.08.036

zbMATH Keywords

spectral radiusHadamard product\(M\)-matrixnonnegative matrixminimum eigenvalueeigenvalue boundsFan product

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (8)

Some inequalities for the Fan product of \(M\)-tensors ⋮ Some inequalities for the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix ⋮ On some new bounds for eigenvalues of the Hadamard product and the Fan product of matrices ⋮ On some spectral radius inequalities for the Hadamard product of nonnegative tensors ⋮ Some bounds of eigenvalues for Hadamard product and Fan product of tensors ⋮ Some new inequalities for the Hadamard product of \(M\)-matrices ⋮ Some new inequalities involving the Hadamard product of an \(M\)-matrix and its inverse ⋮ New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices

Cites Work

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• 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 a conjecture of Fiedler and Markham
• Proof of a conjecture of Fiedler and Markham
• Bounds on eigenvalues of the Hadamard product and the Fan product of matrices
• Some inequalities for the Hadamard product and the Fan product of matrices
• Minimal Gerschgorin sets

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