Results 21 to 30 of about 753 (179)
Deflated GMRES with multigrid for lattice QCD
Physics Letters B, 2020 Lattice QCD solvers encounter critical slowing down for fine lattice spacings and small quark mass. Traditional matrix eigenvalue deflation is one approach to mitigating this problem.
Travis Whyte +2 more
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Electrocardiographic Imaging: A Comparison of Iterative Solvers
Frontiers in Physiology, 2021 Cardiac disease is a leading cause of morbidity and mortality in developed countries. Currently, non-invasive techniques that can identify patients at risk and provide accurate diagnosis and ablation guidance therapy are under development.
Marta Borràs, Judit Chamorro-Servent
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Linear Algebra and its Applications, 2003 In their introduction, the authors state, ``We study an oddity: the class of problems for which the generalized minimal residual (GMRES) algorithm, when started with the initial guess \(x^{(0)}=0\) and using exact arithmetic, computes \(m\) iterates \(x^{(1)}=\cdots=x^{(m)}=0\) without making any progress at all.
Zavorin, Ilya +2 more
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Residual-Based Simpler Block GMRES for Nonsymmetric Linear Systems with Multiple Right-Hand Sides
Advances in Mathematical Physics, 2018 We propose in this paper a residual-based simpler block GMRES method for solving a system of linear algebraic equations with multiple right-hand sides. We show that this method is mathematically equivalent to the block GMRES method and thus equivalent to
Qinghua Wu, Liang Bao, Yiqin Lin
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IGMRES method for linear systems [PDF]
Journal of Mahani Mathematical ResearchThe Index Generalized Minimal RESidual (IGMRES) algorithm is designed to compute the Drazin-inverse solution of a linear system of equations $Ax=b$, where $A$ is an arbitrary square matrix with index $\gamma$.
Faranges Kyanfar
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On a method for calculating generalized normal solutions of underdetermined linear systems [PDF]
Компьютерная оптика, 2020 The article presents a novel algorithm for calculating generalized normal solutions of underdetermined systems of linear algebraic equations based on special extended systems.
Alexander Zhdanov, Yury Sidorov
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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
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Augmented GMRES‐type methods [PDF]
Numerical Linear Algebra with Applications, 2007 AbstractGMRES is a popular iterative method for the solution of large linear systems of equations with a square non‐symmetric matrix. The method generates a Krylov subspace in which an approximate solution is determined. We present modifications of the GMRES and the closely related RRGMRES methods that allow augmentation of the Krylov subspaces ...
James Baglama, Lothar Reichel
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AlgorithmsGMRES is one of the most powerful and popular methods to solve linear systems in the Krylov subspace; we examine it from two viewpoints: to maximize the decreasing length of the residual vector, and to maintain the orthogonality of the consecutive ...
Chein-Shan Liu +2 more
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Frontiers in Physics, 2022 The aim of this paper is to propose some efficient and accurate numerical methods to compute the steady-state of variable coefficients space fractional Cahn-Allen equations.
Saleh Mousa Alzahrani +1 more
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