The analysis of restart DGMRES for solving singular linear systems

DOI10.1016/j.amc.2005.09.063zbMath1094.65024OpenAlexW2038095653MaRDI QIDQ2493774

Jieyong Zhou, Yi-Min Wei

Publication date: 16 June 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.09.063

zbMATH Keywords

convergencenumerical examplesiterative methodsrestartstagnationsingular linear systemDrazin generalized minimal residual method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (4)

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 ⋮ Gradient methods for computing the Drazin-inverse solution ⋮ New algorithms for solving singular linear system

Uses Software

• DGMRES

Cites Work

• Unnamed Item
• Stagnation analysis of DGMRES.
• Complete stagnation of GMRES
• 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
• The Tortoise and the Hare Restart GMRES
• DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems
• A unified approach to Krylov subspace methods for the Drazin-inverse solution of singular nonsymmetric linear systems

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