Results 61 to 70 of about 37,446 (199)
Preconditioners based on the ISM factorization [PDF]
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2015 Abstract In this paper we survey our work on preconditioners based on the Inverse Sherman-Morrison factorization. The most important theoretical results are also summarized and some numerical conclusions are provided.
Bru García, Rafael +4 more
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Two Preconditioners for Time-Harmonic Eddy-Current Optimal Control Problems
MathematicsIn this paper, we consider the numerical solution of a large complex linear system with a saddle-point form obtained by the discretization of the time-harmonic eddy-current optimal control problem.
Xin-Hui Shao, Jian-Rong Dong
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International Journal of Antennas and Propagation, 2016 The computation of scattering from multilayer dielectric bodies is studied by using the combined tangential formulation (CTF) of surface integral solution.
B. B. Kong, X. Q. Sheng
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A note on a block preconditioner
Applied Mathematics Letters, 1991 AbstractThe well known block preconditioning technique is modified to suit certain ill-conditioned linear systems arising in reservoir modelling, semiconductor simulation and other fields of applications. Incorporated into the conjugate or biconjugate gradients algorithm, the proposed preconditioner gives a significant improvement in the condition ...
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Physically-based preconditioner for the WCIP [PDF]
2012 Asia Pacific Microwave Conference Proceedings, 2012 A physically-based preconditioner for the 1d and 2d Wave Concept Iterative Procedure is introduced in this paper. Numerical results are provided to assess the efficiency of this technique.
Raveu, Nathalie +4 more
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A New Hybrid Preconditioner for the Interior Point Method
Trends in Computational and Applied Mathematics, 2019 This study aims to improve the computation of the search direction in the primal-dual Interior Point Method through preconditioned iterative methods. It is about a hybrid approach that combines the Controlled Cholesky Factorization preconditioner and ...
Manolo Rodriguez Heredia +2 more
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Best-conditioned circulant preconditioners
Linear Algebra and its Applications, 1995 The solutions to a class of Hermitian positive definite systems \(Ax = b\) by the preconditioned conjugate gradient method (PCG) with circulant preconditioner \(C\) are discussed. The rate of convergence of the PCG method depends on how small the condition number \(\kappa (C^{-{1\over 2}} AC^{-{1\over 2}})\) is. It is shown that if the matrix \(FAF^*\)
Raymond H. Chan, Chiu-Kwong Wong
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Parallel Matrix-Free Higher-Order Finite Element Solvers for Phase-Field Fracture Problems
Mathematical and Computational Applications, 2020 Phase-field fracture models lead to variational problems that can be written as a coupled variational equality and inequality system. Numerically, such problems can be treated with Galerkin finite elements and primal-dual active set methods. Specifically,
Daniel Jodlbauer +2 more
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A Projection Strategy for Improving the Preconditioner in the LOBPCG
International Journal of Applied Mathematics and Computer ScienceThe computational methods for solving the generalized eigenvalue problems of real symmetric matrices are crucial in fields such as structural dynamics analysis.
Ma Tailai +3 more
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A Preconditioned Multisplitting and Schwarz Method for Linear Complementarity Problem
Journal of Applied Mathematics, 2014 The preconditioner presented by Hadjidimos et al. (2003) can improve on the convergence rate of the classical iterative methods to solve linear systems.
Cuiyu Liu, Chen-liang Li
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