Results 21 to 30 of about 713 (182)
Seleção Dinâmica da Dimensão do Subespaço de Krylov no Método GMRES(m) e suas Variantes
Trends in Computational and Applied Mathematics, 2006 Nesse trabalho apresentamos alguns algoritmos adaptativos do Método do Resíduo Mínimo Generalizado (GMRES) [10], um método iterativo para resolver sistemas de equações lineares com matrizes não simétricas e esparsas, o qual baseiase nos métodos de ...
T.T. Gonçalez, R.D. da Cunha
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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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Advances in Electrical and Electronic Engineering, 2014 The paper deals with the solution of large non-symmetric two-by-two block linear systems with a singular leading submatrix. Our algorithm consists of two levels.
Radek Kucera +4 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 ...
Baglama, James, Reichel, Lothar
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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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Theoretical and numerical comparisons of GMRES and WZ-GMRES
Computers & Mathematics with Applications, 2004 The authors study the numerical stability of the WZ-GMRES method proposed by \textit{H. F. Walker} and \textit{L. Zhou} [Numer. Linear Algebra Appl. 1, No. 6, 571--581 (1994; Zbl 0838.65030)] and compare the stability of the WZ-GMRES method with that of the GMRES method for solving systems of linear equations \(Ax = b\) with a non-symmetric matrix \(A\)
Chen, G. Z., Jia, Z. X.
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GMRES with multiple preconditioners [PDF]
SeMA Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Greif, Chen +2 more
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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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