Bounds for the infinity norm of the inverse for certain \(M\)- and \(H\)-matrices
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Publication:959873
DOI10.1016/j.laa.2008.09.005zbMath1158.15019OpenAlexW2106537516MaRDI QIDQ959873
Publication date: 12 December 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.005
inverse matrixinfinity normM-matricesH-matricesstrictly diagonally dominant matricesPH-matricesPM-matrices
Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)
Related Items (16)
Max norm estimation for the inverse of block matrices ⋮ Bounds on the \(l_\infty\) norm of inverses for certain block matrices ⋮ Norm bounds for the inverse and error bounds for linear complementarity problems for {P1,P2}-Nekrasov matrices ⋮ New subclasses of the class of \( \mathcal H \)-matrices and related bounds for the inverses ⋮ On block generalizations of \( \mathcal H \)-matrices ⋮ Error bounds and a condition number for the absolute value equations ⋮ Some characterizations of Nekrasov and \(S\)-Nekrasov matrices ⋮ Bounds for the inverses of \(PM\)- and \(PH\)-matrices ⋮ Diagonal dominance characterization of \(PM\)- and \(PH\)-matrices ⋮ Scaling technique for partition-Nekrasov matrices ⋮ An infinity norm bound for the inverse of Dashnic-Zusmanovich type matrices with applications ⋮ On bootstrapping panel factor series ⋮ Some new results on determinantal inequalities and applications ⋮ Schur complement-based infinity norm bounds for the inverse of SDD matrices ⋮ Pseudospectra localizations and their applications ⋮ The Schur complement of \(P H\)-matrices
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- Upper bounds for the infinity norm of the inverse of SDD and \(\mathcal S\)-SDD matrices
- On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics
- Convergence Properties of the Spline Fit
- Monotonicity and Discretization Error Estimates
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