New upper bounds for \(\|A^{-1}\|_{\infty}\) of strictly diagonally dominant \(M\)-matrices

DOI10.1186/S13660-015-0696-2zbMath1382.15031OpenAlexW1553664546WikidataQ59435162 ScholiaQ59435162MaRDI QIDQ264491

Feng Wang, Jianxing Zhao, De-shu Sun

Publication date: 31 March 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0696-2

zbMATH Keywords

upper bound\(M\)-matrixdiagonal dominanceminimum eigenvalueinfinity norm

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

New upper bounds for the inverse of \(H\)-matrices including \(S\)-SDD matrices and linear complementarity problems

Cites Work

• Unnamed Item
• An upper bound for \(\| A^{-1}\|_{\infty}\) of strictly diagonally dominant \(M\)-matrices
• New lower bounds on eigenvalue of the Hadamard product of an \(M\)-matrix and its inverse
• An upper bound for \(\| A^{-1} \|_\infty \) of strictly diagonally dominant \(M\)-matrices
• A lower bound for the smallest singular value of a matrix
• Some new bounds for the minimum eigenvalue of the Hadamard product of an \(M\)-matrix and an inverse \(M\)-matrix
• On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics

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