A new upper bound for \(\|A^{-1}\|\) of a strictly \(\alpha\)-diagonally dominant \(M\)-matrix

DOI10.1155/2013/980615zbMath1292.15019OpenAlexW1981439750WikidataQ58919044 ScholiaQ58919044MaRDI QIDQ2248688

Zhanshan Yang, Bing Zheng, Xi-Lan Liu

Publication date: 27 June 2014

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/980615

zbMATH Keywords

upper boundsmallest eigenvaluenorm of the inverse matrixstrictly diagonally dominant \(M\)-matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

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Cites Work

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