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Incomplete Block Cyclic Reduction as a Preconditioner for Polynomial Iterative Methods

SIAM Journal on Scientific and Statistical Computing, 1990
Preconditionings based on incomplete block odd-even cyclic reduction for the Chebyshev and conjugate gradient polynomial iterative methods have been shown to be effective for accelerating the convergence of the solution of linear systems that arise from discrete approximations of elliptic partial differential equations.
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Performance of Neumann Expansion Preconditioners for Iterative Methods with Geotechnical Elastoplastic Applications

International Journal of Geomechanics, 2016
AbstractBecause most geotechnical analyses may involve elastoplastic geomaterials, a robust solution scheme is of critical importance to the efficiency of the entire finite-element (FE) computation. To accelerate the Krylov subspace iterative methods, some preconditioning techniques have been developed based on the factorization of elastic stiffness ...
Xi Chen   +3 more
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Iterative Method with the Preconditioner (I + Smax) for H‐Matrices

PAMM, 2003
AbstractIn 2002 Kotakemori et al. have reported the Modified Gauss‐Seidel method with a preconditioner (I + Smax). The convergence of the new method they investigated only for Z‐matrices, for which the new method can be superior to other iterative methods. But, in the case of H‐matrices this method can be superior to the others, too.
Kostić, Vladimir, Cvetković, Ljiljana
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Updating preconditioner for iterative method in time domain simulation of power systems

Science China Technological Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, K.   +4 more
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Iterative methods for solving sparse linear systems with a parallel preconditioner

International Journal of Computer Mathematics, 1992
The incomplete LU factorization is one of the more effective preconditioner of the conjugate gradient-type methods in connection with the solution of large, sparse systems of linear equations. In this paper, the results obtained with the use of the level scheduling method are shown.
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Assessment of Preconditioner for a USM3D Hierarchical Adaptive Nonlinear Iteration Method (HANIM) (Invited)

54th AIAA Aerospace Sciences Meeting, 2016
Enhancements to the previously reported mixed-element USM3D Hierarchical Adaptive Nonlinear Iteration Method (HANIM) framework have been made to further improve robustness, efficiency, and accuracy of computational fluid dynamic simulations. The key enhancements include a multi-color line-implicit preconditioner, a discretely consistent symmetry ...
Mohagna J. Pandya   +3 more
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A new preconditioner of the tensor splitting iterative method for solving multi-linear systems with $$\mathcal {M}$$-tensors

Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu-Bin Cui, Xiaoqing Zhang, Shi-Liang Wu
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Incomplete LU Preconditioners for Conjugate-Gradient-Type Iterative Methods

SPE Reservoir Engineering, 1988
Summary In recent years, such conjugate-gradient-type methods as orthomin have been used very successfully with various preconditioners to solve the unsymmetric linear systems that arise in reservoir simulation. Here these successful iterative methods are combined with a new set of preconditioners that have been derived from some ...
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Structured preconditioners for matrix-free iterative methods

2013
Das Berechnen der sogenannten Quasispezies in Eigen's Quasispeziesmodell ist gleichbedeutend mit der Berechnung des dominierenden Eigenvektors von sehr großen, stark strukturierten Matrizen. Insbesondere wächst die Dimension dieser Matrizen exponentiell mit dem für die Praxis entscheidenden Modellparameter. Daher leiden Standardmethoden am sogenannten "
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Multiple Solution of Systems of Linear Algebraic Equations by an Iterative Method with Recomputed Preconditioners

Journal of Mathematical Sciences, 2015
An algorithm for multiple solution of systems of linear algebraic equations by the preconditioned BiCGStab method is proposed. When the number of iterations for solving a current system becomes too large, the precontioner is recomputed. Results of numerical experiments on computing the capacitance matrices of a microstrip line in a wide range of its ...
R. R. Akhunov   +2 more
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