Some inequalities for the minimum eigenvalue of the Hadamard product of an \(M\)-matrix and its inverse

DOI10.1186/1029-242X-2013-65zbMath1282.15010OpenAlexW2158825695WikidataQ59301765 ScholiaQ59301765MaRDI QIDQ395785

Qin Tan, Zhuande Wang, Guang-Hui Cheng

Publication date: 30 January 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-65

zbMATH Keywords

eigenvalueHadamard product\(M\)-matrixinverse \(M\)-matrixstrictly diagonally dominant matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (10)

New inequalities for the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix ⋮ Some new bounds of the minimum eigenvalue for the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix ⋮ Lower bound estimation of the minimum eigenvalue of Hadamard product of an \(M\)-matrix and its inverse ⋮ 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 new bounds for the minimum eigenvalue of the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix ⋮ 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 ⋮ Some inequalities for the minimum eigenvalue of the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix ⋮ A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse

Cites Work

• 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
• Proof of a conjecture of Fiedler and Markham
• On an inequality for the Hadamard product of an \(M\)-matrix and its inverse
• Minimal Gerschgorin sets
• A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices

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