Results 1 to 10 of about 42 (41)
Quadratic convergence of monotone iterates for semilinear elliptic obstacle problems. [PDF]
J Inequal Appl, 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.
Zeng J, Chen H, Xu H.
europepmc +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
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
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 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 +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
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 +1 more source
Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Recent developments in the field of image reconstruction have given rise to the use of projective iterative methods, such as Kaczmarz and Jacobi, when solving inconsistent linear least squares problems. In this paper we try to generalize previous results
Carp Doina +2 more
doaj +1 more source
Multipreconditioned GMRES for simulating stochastic automata networks
Open Mathematics, 2018 Stochastic Automata Networks (SANs) have a large amount of applications in modelling queueing systems and communication systems. To find the steady state probability distribution of the SANs, it often needs to solve linear systems which involve their ...
Wen Chun +5 more
doaj +1 more source
The Variation of the Salt Concentration at the Discharge of a River into a Saline Water
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 A plume model is used to describe the variation of the salt concentration at the discharge of a river into a saline water. The integral model of the plume behavior consists of a set of ordinary differential equations derived from conservation of mass ...
Juncu Gheorghe +2 more
doaj +1 more source