A simpler DGMRES
From MaRDI portal
Publication:708147
DOI10.1016/j.amc.2010.05.024zbMath1200.65030OpenAlexW2000922511MaRDI QIDQ708147
Publication date: 11 October 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.024
algorithmnumerical examplesindexKrylov subspace methodDrazin-inverse solutiongeneralized minimal residual (GMRES) method\texttt{DGMRES}inconsistent singular linear systemslarge scale sparse system
Computational methods for sparse matrices (65F50) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)
Related Items (2)
The stability of formulae of the Gohberg-Semencul-Trench type for Moore-Penrose and group inverses of Toeplitz matrices ⋮ DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems
Cites Work
- Unnamed Item
- Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers
- On the convergence of subproper (multi)-splitting methods for solving rectangular linear systems
- On the convergence of splittings for semidefinite linear systems
- Inexact GMRES for singular linear systems
- Quotient convergence and multi-splitting methods for solving singular linear equations
- Convergence and quotient convergence of iterative methods for solving singular linear equations with index one
- Index splitting for the Drazin inverse and the singular linear system
- A Chebyshev-like semiiteration for inconsistent linear systems
- On the use of incomplete semiiterative methods for singular systems and applications in Markov chain modeling.
- Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems
- DFOM algorithm and error analysis for projection methods for solving singular linear system
- Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
- A note on solving EP inconsistent linear systems
- Additional results on index splittings for Drazin inverse solutions of singular linear systems
- On the convergence of general stationary iterative methods for range-Hermitian singular linear systems
- Augmented GMRES-type methods
- On the Convergence of General Stationary Linear Iterative Methods for Singular Linear Systems
- Solving EP singular linear systems
- A simpler GMRES
- On the Convergence of Iterative Methods for Semidefinite Linear Systems
- Breakdown-free GMRES for Singular Systems
- The principle of minimized iterations in the solution of the matrix eigenvalue problem
- DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems
This page was built for publication: A simpler DGMRES
