Estimation of \(\| A^{-1}\| _\infty \) for weakly chained diagonally dominant \(M\)-matrices
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Publication:1044561
DOI10.1016/j.laa.2009.09.012zbMath1181.15024OpenAlexW1997271946MaRDI QIDQ1044561
Publication date: 18 December 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.2009.09.012
normupper boundnumerical examples\(M\)-matrixsmallest eigenvalueweakly chained diagonally dominant matrix
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)
Related Items (6)
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Cites Work
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- Lower bounds for the minimum eigenvalue of Hadamard product of an \(M\)-matrix and its inverse
- The infinity norm bound for the inverse of nonsingular diagonal dominant matrices
- An upper bound for \(\| A^{-1}\|_{\infty}\) of strictly diagonally dominant \(M\)-matrices
- On diagonal dominance arguments for bounding \(\| A^{-1}\|_\infty\)
- Matrix Analysis
- On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics
- A Sufficient Condition for Nonvanishing of Determinants
- Note on Bounds for Determinants with Dominant Principal Diagonal
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