Restarted weighted full orthogonalization method for shifted linear systems
From MaRDI portal
Publication:971670
DOI10.1016/j.camwa.2008.10.088zbMath1186.65061OpenAlexW2061907619MaRDI QIDQ971670
Publication date: 16 May 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2008.10.088
Arnoldi processaccelerating convergence raterestarted FOMshifted algebraic linear systemweighted Arnoldi process
Related Items
BiCR-type methods for families of shifted linear systems ⋮ Restarted Hessenberg method for solving shifted nonsymmetric linear systems ⋮ IDR(\(s\)) for solving shifted nonsymmetric linear systems ⋮ A new shifted block GMRES method with inexact breakdowns for solving multi-shifted and multiple right-hand sides linear systems ⋮ Weighted versions of Gl-FOM and Gl-GMRES for solving general coupled linear matrix equations ⋮ A flexible and adaptive simpler GMRES with deflated restarting for shifted linear systems ⋮ Solving shifted linear systems with restarted GMRES augmented with error approximations ⋮ Some observations on weighted GMRES ⋮ Thick restarting the weighted harmonic Arnoldi algorithm for large interior eigenproblems ⋮ Global FOM and GMRES algorithms for a class of complex matrix equations ⋮ Extended and rational Hessenberg methods for the evaluation of matrix functions ⋮ Restarted global FOM and GMRES algorithms for the Stein-like matrix equation \(X + \mathcal{M}(X) = C\) ⋮ Flexible and deflated variants of the block shifted GMRES method ⋮ Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously ⋮ A simpler GMRES and its adaptive variant for shifted linear systems
Cites Work
- Unnamed Item
- Unnamed Item
- Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment
- Weighted FOM and GMRES for solving nonsymmetric linear systems
- Restarted full orthogonalization method for shifted linear systems
- Implicitly restarted and deflated GMRES
- A note on weighted FOM and GMRES for solving nonsymmetric linear systems
- Iterative system solvers for the frequency analysis of linear mechanical systems
- Restarted GMRES preconditioned by deflation
- Weighted restarting method in the weighted Arnoldi algorithm for computing the eigenvalues of a nonsymmetric matrix
- On the Convergence of Restarted Krylov Subspace Methods
- On the Numerical Solution of $(\lambda^2 A + \lambda B + C), x = b$ and Application to Structural Dynamics
- Modified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive-definite linear systems
- Iterative Solution of Cyclically Reduced Systems Arising from Discretization of the Three-Dimensional Convection-Diffusion Equation
- Restarted GMRES for Shifted Linear Systems
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- The Solution of Parametrized Symmetric Linear Systems
- Restarted Gmres Augmented With Eigenvectors For Shifted Linear Systems * Supported by the National Natural Science Foundation of China and the Science and Technology Developing Foundation of University in Shanghai of China
- Implicitly Restarted GMRES and Arnoldi Methods for Nonsymmetric Systems of Equations
- Block Stationary Methods for Nonsymmetric Cyclically Reduced Systems Arising from Three-Dimensional Elliptic Equations
- A Restarted GMRES Method Augmented with Eigenvectors
- Restarted GMRES augmented with harmonic Ritz vectors for shifted linear systems
This page was built for publication: Restarted weighted full orthogonalization method for shifted linear systems
