Stagnation analysis of DGMRES.

DOI10.1016/S0096-3003(03)00320-5zbMath1056.65036MaRDI QIDQ1428398

Jieyong Zhou, Yi-Min Wei

Publication date: 29 March 2004

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

zbMATH Keywords

convergenceDrazin inverseiterative methodsstagnationDGMRES algorithmeigenvector matricesJordan canonical normal form

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)

Related Items (8)

DFOM algorithm and error analysis for projection methods for solving singular linear system ⋮ DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems ⋮ A two-step algorithm for solving singular linear systems with index one ⋮ On stagnation of the DGMRES method ⋮ Gradient methods for computing the Drazin-inverse solution ⋮ New algorithms for solving singular linear system ⋮ Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers ⋮ The analysis of restart DGMRES for solving singular linear systems

Cites Work

• Unnamed Item
• Collinearity and least squares regression
• Perturbation analysis of singular linear systems with arbitrary index.
• Condition number of Drazin inverse and their condition numbers of singular linear systems.
• Expressions and bounds for the GMRES residual
• Complete stagnation of GMRES
• Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
• Condition numbers and equilibration of matrices
• 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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