Results 41 to 50 of about 14,331 (187)
Computable Convergence Bounds for GMRES [PDF]
SIAM Journal on Matrix Analysis and Applications, 2000 The purpose of this paper is to derive new computable convergence bounds for GMRES. The new bounds depend on the initial guess and are thus conceptually different from standard "worst-case" bounds. Most importantly, approximations to the new bounds can be computed from information generated during the run of a certain GMRES implementation.
openaire +3 more sources
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
doaj +1 more source
Deflation of Eigenvalues for Iterative Methods in Lattice QCD
, 2003 Work on generalizing the deflated, restarted GMRES algorithm, useful in lattice studies using stochastic noise methods, is reported. We first show how the multi-mass extension of deflated GMRES can be implemented.
Dean Darnell +6 more
core +2 more sources
Linear systems solvers - recent developments and implications for lattice computations [PDF]
, 1996 We review the numerical analysis' understanding of Krylov subspace methods for solving (non-hermitian) systems of equations and discuss its implications for lattice gauge theory computations using the example of the Wilson fermion matrix.
A. Frommer +18 more
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Preconditioned Continuation Model Predictive Control
, 2015 Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. A Continuation/GMRES Method for NMPC, suggested by T. Ohtsuka in 2004, uses the
Fujii, Yuta +2 more
core +1 more source
Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code [PDF]
, 2015 In this paper we present a rigorous derivation of the reduced MHD models with and without parallel velocity that are implemented in the non-linear MHD code JOREK.
Franck, Emmanuel +3 more
core +4 more sources
ILU preconditioning based on the FAPINV algorithm [PDF]
Opuscula Mathematica, 2015 A technique for computing an ILU preconditioner based on the factored approximate inverse (FAPINV) algorithm is presented. We show that this algorithm is well-defined for H-matrices.
Davod Khojasteh Salkuyeh +2 more
doaj +1 more source
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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GMRES Convergence Bounds for Eigenvalue Problems [PDF]
Computational Methods in Applied Mathematics, 2017 Abstract 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 approximate invariant subspace of the linear system.
Freitag, Melina A. +2 more
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Advanced Intelligent Systems, EarlyView.This study presents a new sampling‐based model predictive control minimizing reverse Kullback‐Leibler divergence to quickly find a local optimum. In addition, a modified Nesterov's acceleration method is introduced for faster convergence. The method is effective for real‐time simulations and real‐world operability improvement on a force‐driven mobile ...
Taisuke Kobayashi, Kota Fukumoto
wiley +1 more source