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

DOI10.1016/j.laa.2009.02.037zbMath1169.15004OpenAlexW1992064986MaRDI QIDQ1030714

Ping Wang

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.02.037

zbMATH Keywords

\(M\)-matrixinverse \(M\)-matrixdiagonal dominancenorm bound

Mathematics Subject Classification ID

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 (6)

New upper bounds for \(\|A^{-1}\|_{\infty}\) of strictly diagonally dominant \(M\)-matrices ⋮ A fast and stable test to check if a weakly diagonally dominant matrix is a nonsingular M-matrix ⋮ New error bounds for linear complementarity problems for \(B^S\)-matrices ⋮ An alternative error bound for linear complementarity problems involving \(B^{S}\)-matrices ⋮ A new upper bound for \(\|A^{-1}\|\) of a strictly \(\alpha\)-diagonally dominant \(M\)-matrix ⋮ Schur complement-based infinity norm bounds for the inverse of SDD matrices

Cites Work

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• An inequality for the Hadamard product of an M-matrix and an inverse M- matrix
• A lower bound for the smallest singular value of a matrix
• On diagonal dominance arguments for bounding \(\| A^{-1}\|_\infty\)
• A Hadamard product involving N-matrices
• On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics
• A Sufficient Condition for Nonvanishing of Determinants

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