A lower bound for the minimum eigenvalue of the Hadamard product of matrices

DOI10.1016/j.laa.2003.09.011zbMath1058.15024OpenAlexW2021497104MaRDI QIDQ1826722

Shencan Chen

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.09.011

zbMATH Keywords

Hadamard product\(M\)-matrixPerron eigenvectorsFiedler-Markham conjectureMinimum eigenvalue

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (10)

Some new bounds of the minimum eigenvalue for the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix ⋮ Lower bounds for the minimum eigenvalue of Hadamard product of an \(M\)-matrix and its inverse ⋮ Stability analysis for a special class of dynamical networks ⋮ On some new bounds for eigenvalues of the Hadamard product and the Fan product of matrices ⋮ Lower bounds for the minimum eigenvalue of 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

Cites Work

• 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
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