Results 91 to 100 of about 16,256 (203)

Numerically Stable Recurrence Relations for the Communication Hiding Pipelined Conjugate Gradient Method

open access: yes, 2019
Pipelined Krylov subspace methods (also referred to as communication-hiding methods) have been proposed in the literature as a scalable alternative to classic Krylov subspace algorithms for iteratively computing the solution to a large linear system in ...
Cools, Siegfried   +2 more
core  

A Global Krylov Subspace Method for the Sylvester Quaternion Matrix Equation

open access: yesJournal of New Theory
This study concerns the Sylvester matrix equation in the quaternion setting when the coefficient matrices as well as the unknown matrix have quaternion entries.
Sinem Şimşek
doaj   +1 more source

A Polynomial Preconditioned Global CMRH Method for Linear Systems with Multiple Right-Hand Sides

open access: yesJournal of Applied Mathematics, 2013
The restarted global CMRH method (Gl-CMRH(m)) (Heyouni, 2001) is an attractive method for linear systems with multiple right-hand sides. However, Gl-CMRH(m) may converge slowly or even stagnate due to a limited Krylov subspace.
Ke Zhang, Chuanqing Gu
doaj   +1 more source

A splitting preconditioner for the incompressible navier–stokes equations

open access: yesMathematical Modelling and Analysis, 2013
In this paper, a splitting preconditioner based on the relaxed dimensional factorization (RDF) preconditioner and the modified augmented Lagrangian (MAL) preconditioner for the incompressible Navier–Stokes equations is presented.
Ze-Jun Hu, Ting-Zhu Huang, Ning-Bo Tan
doaj   +1 more source

A Class of Preconditioners for Large Indefinite Linear Systems, as by-product of Krylov subspace Methods: Part II [PDF]

open access: yes
In this paper we consider the parameter dependent class of preconditioners M(a,d,D) defined in the companion paper The latter was constructed by using information from a Krylov subspace method, adopted to solve the large symmetric linear system Ax = b ...
Giovanni Fasano, Massimo Roma
core  

GPU-based multi-group discrete ordinates transport calculations: Parallel computing implementation in STRAUM

open access: yesNuclear Engineering and Technology
Discrete ordinates (SN) method with unstructured meshes is highly appropriate for high-fidelity modeling and simulation of radiation shielding problems with complicated geometries.
Ao Zhang   +3 more
doaj   +1 more source

A Randomized Q-OR Krylov Subspace Method for Solving Nonsymmetric Linear Systems

open access: yesMathematics
The most popular iterative methods for solving nonsymmetric linear systems are Krylov methods. Recently, an optimal Quasi-ORthogonal (Q-OR) method was introduced, which yields the same residual norms as the Generalized Minimum Residual (GMRES) method ...
Gérard Meurant
doaj   +1 more source

Alternating Krylov subspace image restoration methods

open access: yesJournal of Computational and Applied Mathematics, 2012
Let \(f^\delta\) represent the available noise- and blur-contaminated image and \(\widehat u\) the associated image that is to recover. The model \[ f^\delta(x)= \int h(x,y)\widehat u(y)\,dy+ \eta^\delta(x),\quad x\in\Omega, \] with the noise \(\eta^\delta\) is assumed.
J. O. Abad   +3 more
openaire   +3 more sources

Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems

open access: yesAbstract and Applied Analysis, 2014
Based on the modified Hermitian and skew-Hermitian splitting (MHSS) and preconditioned MHSS (PMHSS) methods, a generalized preconditioned MHSS (GPMHSS) method for a class of complex symmetric linear systems is presented.
Cui-Xia Li, Yan-Jun Liang, Shi-Liang Wu
doaj   +1 more source

Error Estimators for a Krylov Subspace Iterative Method for Solving Linear Systems of Equations with a Symmetric Indefinite Matrix

open access: yesAxioms
This paper describes a Krylov subspace iterative method designed for solving linear systems of equations with a large, symmetric, nonsingular, and indefinite matrix.
Mohammed Alibrahim   +3 more
doaj   +1 more source

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