Results 21 to 30 of about 1,894 (91)
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 251-284, 2001., 2001 The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrix A = M1 − N1 = M2 − N2.
Zbigniew I. Woźnicki
wiley +1 more source
The Modulus-Based Levenberg-Marquardt Method for Solving Linear Complementarity Problem
Numerical Mathematics: Theory, Methods and Applications, 2019 As applying the Levenberg-Marquardt method to the reformulation of linear complementarity problem, a modulus-based Levenberg-Marquardt method with nonmonotone line search is established and the global convergence result is presented.
Baohua Huang and Changfeng Ma
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
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
On some extensions of the accelerated overrelaxation (AOR) theory
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 49-60, 1982., 1981 This paper extends the convergence theory of the Accelerated Overrelaxation (AOR) method to cases analogous to those considered first by Ostrowski and then by Varga in connection with the Successive Overrelaxation (SOR) method. Among others, the Ostrowski Theorem, some of the theorems by Varga on the extensions of the SOR theory, and some recent ...
A. Hadjidimos, A. Yeyios
wiley +1 more source
A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations
East Asian Journal on Applied Mathematics, 2019 In this work, we consider a boundary value problem involving Caputo derivatives defined in the plane. We develop a fast locally refined finite volume method for variable-coefficient conservative space-fractional diffusion equations in the plane to ...
J. Jia, Hong Wang
semanticscholar +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
On an accelerated procedure of extrapolation
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 4, Page 753-762, 1981., 1980 This paper presents some theoretical results concerning an extrapolation method, based on a completely consistent linear stationary iterative method of first degree, for the numerical solution of the linear system Au = b.The main purpose of the paper is to find ranges for the extrapolation parameter, such that the extrapolation method converges ...
A. Yeyios
wiley +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
Numerical Mathematics: Theory, Methods and Applications, 2018 We propose the two-step modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problems. The corresponding convergence theory is established when the system matrix is an H+-matrix.
Rui Li
semanticscholar +1 more source