Results 1 to 10 of about 316 (109)
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
, 2021 This paper presents the development of a new variant of two-stage Geometric Mean (GM) method for solving 2D elliptic equation. The proposed iterative scheme, called the Skewed Modified Geometric Mean (SkMGM), is derived from finite difference ...
S. Wahab, A. A. Dahalan, A. Saudi
semanticscholar +1 more source
Finite element least‐squares methods for a compressible stokes system
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 3965-3974, 2004., 2004 The least‐squares functional related to a vorticity variable or a velocity flux variable is considered for two‐dimensional compressible Stokes equations. We show ellipticity and continuity in an appropriate product norm for each functional.
Keehwan Kim, Sangdong Kim, Sangsik Shin
wiley +1 more source