Results 31 to 40 of about 1,981 (210)

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
openaire   +1 more source

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

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
doaj   +1 more source

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

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

Re-Orthogonalized/Affine GMRES and Orthogonalized Maximal Projection Algorithm for Solving Linear Systems

Algorithms
GMRES 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, Chih-Wen Chang , Chung-Lun Kuo    +2 more
doaj   +1 more source

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, Amin Rafiei, Hadi Roohani   +2 more
doaj   +1 more source

Preconditioned Pseudo-Spectral Gradient Flow for Computing the Steady-State of Space Fractional Cahn-Allen Equations With Variable Coefficients

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 , Chniti Chokri    +1 more
doaj   +1 more source

Coupled Clustering in Hierarchical Matrices for the Oseen Problem

International Journal for Numerical Methods in Fluids, EarlyView.
Fluid flow problems can be modelled by the Navier‐Stokes or, after linearization, by the Oseen equations. Their discretization results in linear systems in saddle point form which are typically very large and need to be solved iteratively. We propose a novel block structure for hierarchical matrices which is then used to build preconditioners for the ...
Jonas Grams, Sabine Le Borne
wiley   +1 more source

On the Convergence of Conjugate Gradient and GMRES Algorithms in the Forward Backward Sweep Method for Optimal Control

Optimal Control Applications and Methods, EarlyView.
Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera, N. Rabiei, A. Bijalwan, A. Rodríguez‐Ferran, J. J. Muñoz   +4 more
wiley   +1 more source