Inequalities for \(M\)-matrices and inverse \(M\)-matrices

DOI10.1016/j.laa.2007.05.040zbMath1124.15016OpenAlexW2086833226MaRDI QIDQ996314

Shencan Chen

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.040

zbMATH Keywords

Hadamard productM-matrixdeterminant inequalityHadamard-Fischer inequalityinverse M-matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

An Oppenheim type inequality for positive definite block matrices ⋮ On improvements of Fischer's inequality and Hadamard's inequality for \(K_0\)-matrices ⋮ Inverse \(M\)-matrices. II ⋮ Determinantal inequalities for Hadamard product of \(M\)-matrices and inverse \(M\)-matrices ⋮ An Oppenheim type determinantal inequality for the Khatri-Rao product

Cites Work

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• Spanning-tree extensions of the Hadamard-Fischer inequalities
• Inverse M-matrices
• Some determinantal inequalities for Hadamard product of matrices
• A property concerning the Hadamard powers of inverse \(M\)-matrices.
• An Improvement of Hadamard’s Inequality for Totally Nonnegative Matrices
• Matrix Analysis
• Inequalities for M-matrices
• Some Improvement Of Oppenheim's Inequality For M-Matrices
• Some Results on Oppenheim's Inequalities for M-Matrices
• Diagonally dominant matrices

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