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Iterative Solution Methods and Preconditioners for Block-Tridiagonal Systems of Equations

SIAM Journal on Matrix Analysis and Applications, 1992
The authors study semicirculant preconditioners \(M\) used in CG-like iterative methods for solving linear systems \(Bu=b\) of \(n\) algebraic equations arising typically from the implicit time and finite difference spatial discretizations of initial-boundary value problems for linear systems of partial differential equations of the form \(\partial u ...
S. Holmgren, K. Otto
semanticscholar   +2 more sources

A general preconditioner accelerated SOR-type iterative method for multi-linear systems with $${\mathcal {Z}}$$-tensors

Computational and Applied Mathematics, 2021
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Lu-Bin Cui, Yu-Dong Fan, Yu-Tao Zheng
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PMHSS iteration method and preconditioners for Stokes control PDE-constrained optimization problems

Numerical Algorithms, 2020
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Cao, Shan-Mou, Wang, Zeng-Qi
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Efficient Preconditioner and Iterative Method for Large Complex Symmetric Linear Algebraic Systems

East Asian Journal on Applied Mathematics, 2017
AbstractWe discuss an efficient preconditioner and iterative numerical method to solve large complex linear algebraic systems of the form (W + iT)u = c, where W and T are symmetric matrices, and at least one of them is nonsingular. When the real part W is dominantly stronger or weaker than the imaginary part T, we propose a block multiplicative (BM ...
Liao, Li Dan, Zhang, Guo Feng
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A splitting iterative method and preconditioner for complex symmetric linear system via real equivalent form

Advanced Studies: Euro-Tbilisi Mathematical Journal, 2021
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Bao, Wen-Bin, Miao, Shu-Xin
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A preconditioner based on a splitting-type iteration method for solving complex symmetric indefinite linear systems

Japan Journal of Industrial and Applied Mathematics, 2021
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Cui, Lu-Bin   +2 more
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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
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Wang, K.   +4 more
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