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On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices

https://doi.org/10.1007/bf01396371
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-05156-2openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.1007/bf02161890openalex-snapshot
Über reguläre Zerlegungen von Matrizen und einige Anwendungen
inferredcites →https://doi.org/10.1007/bf02163270openalex-snapshot
Generalized consistent ordering and the optimum successive over-relaxation factor
inferredcites →https://doi.org/10.1007/bf02235509openalex-snapshot
Über die Konvergenz des Relaxationsverfahrens bei nicht-negativen und diagonaldominanten Matrizen
inferredcites →https://doi.org/10.1016/0024-3795(76)90037-9openalex-snapshot
On recurring theorems on diagonal dominance
inferredcites →https://doi.org/10.1016/c2013-0-10361-3openalex-snapshot
Nonnegative Matrices in the Mathematical Sciences
inferredcites →https://doi.org/10.1063/1.3057509openalex-snapshot
Finite-Difference Methods for Partial Differential Equations
inferredcites →https://doi.org/10.1090/s0002-9939-1972-0311100-1openalex-snapshot
Generalized Overrelaxation and Gauss-Seidel Convergence on Hilbert Space
inferredcites →https://doi.org/10.1093/comjnl/17.4.370openalex-snapshot
Topics in Numerical Analysis
inferredcites →https://doi.org/10.1137/0710012openalex-snapshot
Gauss–Seidel Convergence for Operators on Hilbert Space
inferredcites →https://doi.org/10.2140/pjm.1959.9.617openalex-snapshot
p -cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
inferredcites →https://doi.org/10.2307/2003862openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.2307/2005542openalex-snapshot
Iterative Solution of Large Linear Systems
inferredcites →https://doi.org/10.2307/2332798openalex-snapshot
Finite-Difference Methods for Partial Differential Equations.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/bf03167245openalex-snapshot
An iterative method applied to nonsymmetric linear systems
inferred← citeshttps://doi.org/10.1007/s002110050214openalex-snapshot
Regions of exact convergence of the USSOR method applied on generalized consistently ordered matrices
inferred← citeshttps://doi.org/10.1007/s42967-019-00015-yopenalex-snapshot
On Minimization of Upper Bound for the Convergence Rate of the QHSS Iteration Method
inferred← citeshttps://doi.org/10.1016/0024-3795(81)90304-9openalex-snapshot
The Kahan S.O.R. convergence bound for nonsingular and irreducible M-matrices
inferred← citeshttps://doi.org/10.1016/0024-3795(84)90216-7openalex-snapshot
Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices
inferred← citeshttps://doi.org/10.1016/0024-3795(84)90223-4openalex-snapshot
p-cyclic matrices and the symmetric successive overrelaxation method
inferred← citeshttps://doi.org/10.1016/0024-3795(93)90205-3openalex-snapshot
On the convergence of the unsymmetric successive overrelaxation (USSOR) method
inferred← citeshttps://doi.org/10.1016/0377-0427(94)00098-1openalex-snapshot
Superior convergence domains for the p-cyclic SSOR majorizer
inferred← citeshttps://doi.org/10.1016/b978-0-12-100560-3.50020-2openalex-snapshot
A SURVEY OF RECENT RESULTS ON ITERATIVE METHODS FOR SOLVING LARGE SPARSE LINEAR SYSTEMS
inferred← citeshttps://doi.org/10.1016/j.laa.2006.01.013openalex-snapshot
A convergence analysis of block accelerated over-relaxation iterative methods for weak block H-matrices to partition π
inferred← citeshttps://doi.org/10.1016/s0168-2024(99)80012-5openalex-snapshot
References
inferred← citeshttps://doi.org/10.1080/03081088408817575openalex-snapshot
On bounds for the convergence of the SSOR method for H -matrices
inferred← citeshttps://doi.org/10.1137/0607061openalex-snapshot
Neighborhoods of Dominant Convergence for the SSOR Method
inferred← citeshttps://doi.org/10.1137/0720051openalex-snapshot
Optimum Accelerated Overrelaxation (AOR) Method for Systems with Positive Definite Coefficient Matrix
inferred← citeshttps://doi.org/10.1155/s0161171282000064openalex-snapshot
On some extensions of the accelerated overrelaxation (AOR) theory
inferred← citeshttps://doi.org/10.4208/jcm.v16.n6.p527openalex-snapshot
On the Convergence of the Relaxation Methods for Positive Definite Linear Systems
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