Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices
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Publication:1060804
DOI10.1016/0024-3795(84)90216-7zbMath0569.65021OpenAlexW2034548041MaRDI QIDQ1060804
Richard S. Varga, Arnold Neumaier
Publication date: 1984
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(84)90216-7
regular splittingsconvergence domainsSSORsymmetric successive overrelaxationH-matricesdivergence domains
Related Items
On the convergence of the unsymmetric successive overrelaxation (USSOR) method ⋮ Zur Konvergenz des SSOR-Verfahrens für nichtlineare Gleichungssysteme. (Convergence of the SSOR method for nonlinear systems of simultaneous equations) ⋮ A convergence analysis of block accelerated over-relaxation iterative methods for weak block \(H\)-matrices to partition \(\pi \) ⋮ A convergence analysis of SOR iterative methods for linear systems with weak \(H\)-matrices ⋮ Superior convergence domains for a \(p\)-cyclic SSOR majorizer ⋮ On the exact \(p\)-cyclic SSOR convergence domains ⋮ A note on the SSOR convergence domain due to Neumaier and Varga ⋮ On exact convergence of the accelerated overrelaxation method when applied to consistently ordered systems ⋮ Precise domains of convergence for the block SSOR method associated with p-cyclic matrices ⋮ Extensions of the symmetric successive overrelaxation theory∗ ⋮ Towards the determination of the optimal \(p\)-cyclic SSOR ⋮ Domains of divergence of the USSOR method applied on p-cyclic matrices ⋮ \(H\)-splittings and two-stage iterative methods ⋮ The convergence conditions of the psd iterative method for linear systems ⋮ Neighborhoods of Dominant Convergence for the SSOR Method ⋮ On minimization of upper bound for the convergence rate of the QHSS iteration method ⋮ On domains of superior convergence of the SSOR method to that of the SOR method ⋮ Convergence domains of the SSOR method for a class of generalized consistently ordered matrices ⋮ Comparisons of regular splittings of matrices ⋮ Block ILU factorization preconditioners for a block-tridiagonal \(H\)-matrix ⋮ Successive overrelaxation (SOR) and related methods ⋮ Poincaré types solutions of systems of difference equations
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- On recurring theorems on diagonal dominance
- Über reguläre Zerlegungen von Matrizen und einige Anwendungen