Results 11 to 20 of about 1,667 (70)

Multipreconditioned GMRES for simulating stochastic automata networks

open access: yesOpen 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

Use of the multigrid methods for heat radiation problem

open access: yesJournal 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
wiley   +1 more source

Matrix splitting principles

open access: yesInternational 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

On some extensions of the accelerated overrelaxation (AOR) theory

open access: yesInternational 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

Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms

open access: yesAnalele 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 an accelerated procedure of extrapolation

open access: yesInternational 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

open access: yesAnalele 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

A relaxed block splitting preconditioner for complex symmetric indefinite linear systems

open access: yesOpen Mathematics, 2018
In this paper, we propose a relaxed block splitting preconditioner for a class of complex symmetric indefinite linear systems to accelerate the convergence rate of the Krylov subspace iteration method and the relaxed preconditioner is much closer to the ...
Huang Yunying, Chen Guoliang
doaj   +1 more source

One-site density matrix renormalization group and alternating minimum energy algorithm

open access: yes, 2013
Given in the title are two algorithms to compute the extreme eigenstate of a high-dimensional Hermitian matrix using the tensor train (TT) / matrix product states (MPS) representation.
E. Jeckelmann   +7 more
core   +1 more source

Bound for the largest singular value of nonnegative rectangular tensors

open access: yesOpen Mathematics, 2016
In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun   +4 more
doaj   +1 more source

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