On some new bounds for eigenvalues of the Hadamard product and the Fan product of matrices

DOI10.1016/j.laa.2012.09.013zbMath1262.15022OpenAlexW2121925527MaRDI QIDQ1931751

Guoxing Wu, Duanmei Zhou, Guo-Liang Chen, Xiang-Yun Zhang

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.09.013

zbMATH Keywords

spectral radiusHadamard productnonnegative matricessmallest eigenvalue\(M\)-matricesFan product

Mathematics Subject Classification ID

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

Related Items (18)

Some inequalities for the Fan product of \(M\)-tensors ⋮ Several new inequalities for the minimum eigenvalue of \(M\)-matrices ⋮ Some new bounds of the minimum eigenvalue for the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix ⋮ Two new lower bounds for the minimum eigenvalue of \(M\)-tensors ⋮ Two new eigenvalue localization sets for tensors and theirs applications ⋮ Some inequalities on the spectral radius of matrices ⋮ Bound estimations on the eigenvalues for Fan product of \(M\)-tensors ⋮ The eigenvalues range of a class of matrices and some applications in Cauchy-Schwarz inequality and iterative methods ⋮ Some lower bounds with a parameter for the minimum eigenvalue of Hadamard product of \(M\)-matrices and inverse \(M\)-matrices ⋮ Lower bounds for the minimum eigenvalue of Hadamard product of \(M\)-matrices ⋮ Some bounds of eigenvalues for Hadamard product and Fan product of tensors ⋮ Brualdi-type inequalities on the minimum eigenvalue for the Fan product of \(M\)-tensors ⋮ New bounds for the minimum eigenvalue of \(\mathcal M\)-tensors ⋮ Some new bounds for the minimum eigenvalue of the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix ⋮ Some inequalities for the minimum eigenvalue of the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix ⋮ New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices ⋮ Brauer-type bounds for Hadamard product of nonnegative tensors ⋮ Refinements of the Hadamard and Cauchy-Schwarz inequalities with two inequalities of the principal angles

Cites Work

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• Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices
• An inequality for the Hadamard product of an M-matrix and an inverse M- matrix
• On a conjecture of Fiedler and Markham
• A lower bound for the minimum eigenvalue of the Hadamard product of matrices
• 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
• Minimal Gerschgorin sets
• Limits for the characteristic roots of a matrix. II

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