Results 71 to 80 of about 753 (179)

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES

CoRR
Accepted by Journal of Foundations of Computational ...
Pierre Matalon, Nicole Spillane
openaire   +2 more sources

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, Ehouarn Simon, David Titley-Péloquin, Philippe L. Toint   +3 more
openaire   +4 more sources

Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley   +1 more source

GMRES on singular systems revisited

CoRR, 2020
In [Hayami K, Sugihara M. Numer Linear Algebra Appl. 2011; 18:449--469], the authors analyzed the convergence behaviour of the Generalized Minimal Residual (GMRES) method for the least squares problem $ \min_{ {\bf x} \in {\bf R}^n} {\| {\bf b} - A {\bf x} \|_2}^2$, where $ A \in {\bf R}^{n \times n}$ may be singular and $ {\bf b} \in {\bf R}^n$, by ...
Ken Hayami, Kota Sugihara
openaire   +2 more sources

Nonlinear Heat Diffusion Problem Solution with Spatio-Temporal Constraints Based on Regularized Gauss–Newton and Preconditioned Krylov Subspaces

Eng
In this work, we proposed a dynamic inverse solution with spatio-temporal constraints of the nonlinear heat diffusion problem in 1D and 2D based on a regularized Gauss–Newton and Krylov subspace with a preconditioner.
Luis Fernando Alvarez-Velasquez, Eduardo Giraldo   +1 more
doaj   +1 more source

More on Generalizations and Modifications of Iterative Methods for Solving Large Sparse Indefinite Linear Systems

Journal of Applied Mathematics, 2014
Continuing from the works of Li et al. (2014), Li (2007), and Kincaid et al. (2000), we present more generalizations and modifications of iterative methods for solving large sparse symmetric and nonsymmetric indefinite systems of linear equations.
Jen-Yuan Chen, David R. Kincaid, Yu-Chien Li   +2 more
doaj   +1 more source

Preconditioned Generalized Minimal Residual Method for Solving Fractional Advection-Diffusion Equation

پژوهش‌های ریاضی, 2019
Introduction Fractional differential equations (FDEs)  have  attracted much attention and have been widely used in the fields of finance, physics, image processing, and biology, etc.
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doaj  

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

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

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
openaire   +1 more source