On the convergence rate of DGMRES

DOI10.1016/j.laa.2018.04.027zbMath1392.65052OpenAlexW2801874341WikidataQ129918447 ScholiaQ129918447MaRDI QIDQ1754438

Abbas Salemi, Anne Greenbaum, Faranges Kyanfar

Publication date: 30 May 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.04.027

zbMATH Keywords

Drazin inverseGMRESsingular systemsRitz valuesDGMRES

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06)

Related Items (3)

Global-DGMRES method for matrix equationAXB = C ⋮ GMRES algorithms over 35 years ⋮ On stagnation of the DGMRES method

Uses Software

• JDQZ

Cites Work

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• A semi-iterative method for real spectrum singular linear systems with an arbitrary index
• New methods for computing the Drazin-inverse solution of singular linear systems
• The Coefficients of the FOM and GMRES Residual Polynomials
• GMRES vs. Ideal GMRES
• An Efficient Algorithm for Computing the Generalized Null Space Decomposition
• On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm
• GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
• Minimal Residual Method Stronger than Polynomial Preconditioning
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• Ritz Value Localization for Non-Hermitian 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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