Results 91 to 100 of about 3,479 (214)
Exploiting variable precision in GMRES
CoRR, 2019 We describe how variable precision floating point arithmetic can be used in the iterative solver GMRES. We show how the precision of the inner products carried out in the algorithm can be reduced as the iterations proceed, without affecting the convergence rate or final accuracy achieved by the iterates.
Serge Gratton +3 more
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GMRES on (Nearly) Singular Systems
, 1994 . We consider the behavior of the gmres method for solving a linear system Ax = b when A is singular or nearly so, i.e., ill-conditioned. The (near) singularity of A may or may not affect the performance of gmres, depending on the nature of the system ...
Peter Brown +4 more
core
GMRES on tridiagonal block Toeplitz linear systems
, 2018 We study the generalized minimal residual (GMRES) method for solving tridiagonal block Toeplitz linear system Ax=b with m × m diagonal blocks. For m=1, these systems becomes tridiagonal Toeplitz linear systems, and for m> 1, A becomes an m-tridiagonal ...
Doostaki, Reza, Reza Doostaki
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GMRES convergence bounds for eigenvalue problems [PDF]
, 2016 The convergence of GMRES for solving linear systems can be influenced heavily by the structure of the right hand side. Within the solution of eigenvalue problems via inverse iteration or subspace iteration, the right hand side is generally related to an ...
Pestana, J. +9 more
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POLYNOMIAL PRECONDITIONED GMRES AND GMRES-DR
, 2014 We look at solving large nonsymmetric systems of linear equations using polynomial preconditioned Krylov methods. We give a simple way to find the polynomial.
Quan Liu +2 more
core
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
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Evaluation of the performance of inexact GMRES
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roger B. Sidje, Nathan Winkles
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Inexact GMRES: Laplace equation
, 2016 Figures and plotting scripts:Figures 5–9 of the paper: "Inexact Krylov iterations and relaxation strategies with fast-multipole boundary element method"Submitted for peer review.Fig. 5: (LaplaceConvergence.pdf)Convergence of 1st-kind (solid line) and 2nd-
Simon K. Layton (2553937) +2 more
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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
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