Results 31 to 40 of about 14,331 (187)

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
doaj   +1 more source

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, Rees, Tyrone, Szyld, Daniel B.   +2 more
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IGMRES method for linear systems [PDF]

Journal of Mahani Mathematical Research
The 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
doaj   +1 more source

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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KRYLOV SUBSPACE METHODS FOR SOLVING LARGE LYAPUNOV EQUATIONS [PDF]

, 1994
Published ...
JAIMOUKHA, IM, KASENALLY, EM
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A flexible and adaptive Simpler GMRES with deflated restarting for shifted linear systems [PDF]

, 2018
In this paper, two efficient iterative algorithms based on the simpler GMRES method are proposed for solving shifted linear systems. To make full use of the shifted structure, the proposed algorithms utilizing the deflated restarting strategy and ...
Gu, Xian-Ming, Zhong, Hong-Xiu
core   +2 more sources

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, Huang Ting-Zhu, Gu Xian-Ming, Shen Zhao-Li, Zhang Hong-Fan, Liu Chen   +5 more
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On GMRES for singular EP and GP systems

, 2018
In this contribution, we study the numerical behavior of the Generalized Minimal Residual (GMRES) method for solving singular linear systems. It is known that GMRES determines a least squares solution without breakdown if the coefficient matrix is range ...
Morikuni, Keiichi, Rozložník, Miroslav
core   +1 more source

Domain Decomposition preconditioning for high-frequency Helmholtz problems with absorption [PDF]

, 2016
In this paper we give new results on domain decomposition preconditioners for GMRES when computing piecewise-linear finite-element approximations of the Helmholtz equation $-\Delta u - (k^2+ {\rm i} \varepsilon)u = f$, with absorption parameter ...
Graham, Ivan G., Spence, Euan A., Vainikko, Eero   +2 more
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