Results 11 to 20 of about 1,894 (91)
A modified variant of HSS preconditioner for generalized saddle point problems
Advances in Mechanical Engineering, 2022 Recently, Zhang [Numerical Linear Algebra with Applications, 2018: e2166] constructed an efficient variant of Hermitian and skew-Hermitian splitting (HSS) preconditioner for generalized saddle point problems, and gave the corresponding theoretical ...
Li-Tao Zhang, Yi-Fan Zhang
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A new generalized shift-splitting method for nonsymmetric saddle point problems
Advances in Mechanical Engineering, 2022 Recently, Huang and Huang [ Journal of Computational and Applied Mathematics , 328 (2018) 381–399] proposed a modified generalized shift-splitting preconditioned (denoted by MGSSP) method for solving large sparse saddle point problems, and gave the ...
Tao Wei, Li-Tao Zhang
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Quadratic convergence of monotone iterates for semilinear elliptic obstacle problems [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we consider the numerical solution for the discretization of semilinear elliptic complementarity problems. A monotone algorithm is established based on the upper and lower solutions of the problem.
Jinping Zeng, Haowen Chen, Hongru Xu
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A dimension expanded preconditioning technique for block two-by-two linear equations
Demonstratio Mathematica, 2023 In this article, we introduce a novel block preconditioner for block two-by-two linear equations by expanding the dimension of the coefficient matrix. Theoretical results on the eigenvalues distribution of the preconditioned matrix are obtained, and a ...
Luo Wei-Hua, Carpentieri Bruno, Guo Jun
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A multi-power and multi-splitting inner-outer iteration for PageRank computation
Open Mathematics, 2020 As an effective and possible method for computing PageRank problem, the inner-outer (IO) iteration has attracted wide interest in the past few years since it was first proposed by Gleich et al. (2010).
Pu Bing-Yuan, Wen Chun, Hu Qian-Ying
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Moroccan Journal of Pure and Applied Analysis, 2021 We introduce a new non-overlapping optimized Schwarz method for fully anisotropic diffusion problems. Optimized Schwarz methods take into account the underlying physical properties of the problem at hand in the transmission conditions, and are thus ...
Gander Martin J. +3 more
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Iterative Solution of Weighted Linear Least Squares Problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this report we show that the iterated regularization scheme due to Riley and Golub, sometimes also called the iterated Tikhonov regularization, can be generalized to damped least squares problems where the weights matrix D is not necessarily the ...
Carp Doina +3 more
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Journal of Computational Mathematics, 2019 We establish a class of improved relaxed positive-definite and skew-Hermitian splitting (IRPSS) preconditioners for saddle point problems. These preconditioners are easier to be implemented than the relaxed positive-definite and skew-Hermitian splitting (
Yang Cao
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The heat radiation problem: three‐dimensional analysis for arbitrary enclosure geometries
Journal of Applied Mathematics, Volume 2004, Issue 4, Page 311-330, 2004., 2004 This paper gives very significant and up‐to‐date analytical and numerical results to the three‐dimensional heat radiation problem governed by a boundary integral equation. There are two types of enclosure geometries to be considered: convex and nonconvex geometries.
Naji Qatanani, Monika Schulz
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Use of the multigrid methods for heat radiation problem
Journal of Applied Mathematics, Volume 2003, Issue 6, Page 305-317, 2003., 2003 We consider the integral equation arising as a result of heat radiation exchange in both convex and nonconvex enclosures of diffuse grey surfaces. For nonconvex geometries, the visibility function must be taken into consideration. Therefore, a geometrical algorithm has been developed to provide an efficient detection of the shadow zones.
Naji A. Qatanani
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