Results 101 to 110 of about 14,331 (187)
Deflated BiCGStab for linear equations in QCD problems [PDF]
, 2007 The large systems of complex linear equations that are generated in QCD problems often have multiple right-hand sides (for multiple sources) and multiple shifts (for multiple masses).
Abdel-Rehim, Abdou +2 more
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Deflated Iterative Methods for Linear Equations with Multiple Right-Hand Sides
, 2007 A new approach is discussed for solving large nonsymmetric systems of linear equations with multiple right-hand sides. The first system is solved with a deflated GMRES method that generates eigenvector information at the same time that the linear ...
Morgan, Ronald B., Wilcox, Walter
core +1 more source
Steepest descent preconditioning for nonlinear GMRES optimization [PDF]
Numerical Linear Algebra with Applications, 2012 SUMMARYSteepest descent preconditioning is considered for the recently proposed nonlinear generalized minimal residual (N‐GMRES) optimization algorithm for unconstrained nonlinear optimization. Two steepest descent preconditioning variants are proposed. The first employs a line search, whereas the second employs a predefined small step. A simple global
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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
doaj +1 more source
Extending Elman's bound for GMRES
Linear Algebra and its ApplicationsIf 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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Heavy Ball Restarted CMRH Methods for Linear Systems
Mathematical and Computational Applications, 2018 The restarted CMRH method (changing minimal residual method based on the Hessenberg process) using fewer operations and storage is an alternative method to the restarted generalized minimal residual method (GMRES) method for linear systems.
Zhongming Teng, Xuansheng Wang
doaj +1 more source
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
Efficient Numerical Schemes for a Heterogeneous Reaction–Diffusion System with Applications
MathematicsIn this study, a class of nonlinear heterogeneous reaction–diffusion system (RDS) has been considered that arises in modeling epidemiological interactions, environmental sciences, and chemical and ecological systems.
Samima Akhter +3 more
doaj +1 more source
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
Restarted GMRES preconditioned by deflation
Journal of Computational and Applied Mathematics, 1996 The authors present a prospective preconditioning technique for the restarted GMRES algorithm. For that purpose a new restarted GMRES scheme for solving the linear system \(AM^{-1}_i \widehat{x} = b\), \(\widehat{x} = M_i x_i\), is given, where \(M_i\) is the preconditioner in the \(i\)th GMRES cycle, \(M_1 = I\).
Erhel, Jocelyne +2 more
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