Results 101 to 110 of about 3,479 (214)

Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **

ESAIM: Proceedings and Surveys, 2014
In order to solve the linear partial differential equation Au = f, we combine two methods: Full-Multigrid method and Hessian-based mesh adaptation.
Brèthes Gautier
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Crouzeix\u27s Conjecture and the GMRES Algorithm [PDF]

, 2011
This thesis explores the connection between Crouzeix\u27s conjecture and the convergence of the GMRES algorithm. GMRES is a popular iterative method for solving linear systems and is one of the many Krylov methods. Despite its popularity, the convergence
Luo, Sarah McBride
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The Tortoise and the Hare restart GMRES

, 2001
When solving large nonsymmetric systems of linear equations with the restarted GMRES algorithm, one is inclined to select a relatively large restart parameter in the hope of mimicking the full GMRES process.
Embree, Mark
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The performances of R GPU implementations of the GMRES method [PDF]

Revista Română de Statistică, 2018
Although the performance of commodity computers has improved drastically with the introduction of multicore processors and GPU computing, the standard R distribution is still based on single-threaded model of computation, using only a small fraction of ...
Bogdan Oancea, Richard Pospisil
doaj  

NI-GMRES precondicionado [PDF]

, 2014
Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorNeste trabalho estudamos o problema não linear F(X) = 0, onde F é continuamente diferenciável com F : Rn-> Rn.
Medeiros, Elvis Néris de
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Extending Elman's bound for GMRES

Linear Algebra and its Applications
If the numerical range of a matrix is contained in the right half of the complex plane, the GMRES algorithm for solving linear systems will reduce the norm of the residual at every iteration. In his Ph.D. dissertation, Howard Elman derived a bound that guarantees convergence. When the numerical range contains the origin, GMRES need not make progress at
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An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. [PDF]

Entropy (Basel), 2023
Chen JF, Gu XM, Li L, Zhou P.
europepmc   +1 more source

Convergence analysis for nonlinear GMRES

IMA Journal of Numerical Analysis
Abstract In this work we revisit nonlinear generalized minimal residual method (NGMRES) applied to nonlinear problems. NGMRES is used to accelerate the convergence of fixed-point iterations, which can substantially improve the performance of the underlying fixed-point iterations.
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Restarted simpler GMRES Augmented with Approximate Errors [PDF]

, 2006
GMRES方法是求解大规模非对称稀疏线性方程组最常用的方法.实际应用中存在着许多对标准GMRES进行改进的算法，加速技术是其中一类.添加方法(augmentedmethods)是一类重要的加速技术.该方法通过添加某些向量到当前的近似空间，从而达到加快重新启动的GMRES方法的收敛速度的目的.LGMRES是一种新的添加方法，它通过添加近似误差到当前的近似空间，能有效防止GMRES方法求解问题时所出现的相间残向量交替方向的现象，这种交替现象导致GMRES方法收敛很慢 ...
李红伟
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A note on relaxed and flexible GMRES

, 2004
We consider the solution of a linear system of equations using the GMRES iterative method. In [3], a strategy to relax the accuracy of the matrix-vector product is proposed for general systems and illustrated on a large set of numerical experiments. This
J. Langou, S. Gratton, L. Giraud
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