On an inequality for the Hadamard product of an \(M\)-matrix and its inverse

DOI10.1016/S0024-3795(99)00224-4zbMath0946.15014MaRDI QIDQ1968758

Yong-Zhong Song

Publication date: 22 October 2000

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

zbMATH Keywords

Hadamard product\(M\)-matrixinequalitynonnegative matrixinversedoubly stochastic matrixPerron eigenvalue

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Stochastic matrices (15B51)

Related Items (13)

On an inequality for the Hadamard product of an \(M\)-matrix or an \(H\)-matrix and its inverse ⋮ Some new bounds of the minimum eigenvalue for 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 its inverse ⋮ On some new bounds for eigenvalues of the Hadamard product and the Fan product of matrices ⋮ Some new inequalities for the Hadamard product of \(M\)-matrices ⋮ Some new inequalities for the Hadamard product of a nonsingularM-matrix and its inverse ⋮ New inequalities for the Hadamard product of an \(M\)-matrix and its inverse ⋮ Inverse \(M\)-matrices. II ⋮ Some new inequalities involving the 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 ⋮ On the lower bounds for the minimum eigenvalue of the Hadamard product of an \(M\)-matrix and its inverse ⋮ A lower bound for the minimum eigenvalue of the Hadamard product of matrices ⋮ Some results on the Hadamard product of tensors

Cites Work

• On a bound for the Hadamard product of an M-matrix and its inverse
• 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
• Matrix Analysis
• Unnamed Item
• Unnamed Item

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