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Some properties of range restricted GMRES methods

Abstract : The GMRES method is one of the most popular iterative schemes for the solution of large linear systems of equations with a square nonsingular matrix. GMRES-type methods also have been applied to the solution of linear discrete ill-posed problems. Computational experience indicates that for the latter problems variants of the standard GMRES method, that require the solution to live in the range of a positive power of the matrix of the linear system of equations to be solved, generally yield more accurate approximations of the desired solution than standard GMRES. This paper investigates properties of these variants of GMRES.
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Submitted on : Tuesday, February 9, 2021 - 9:36:09 AM
Last modification on : Tuesday, October 19, 2021 - 11:38:45 AM

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Mohammed Bellalij, Lothar Reichel, Hassane Sadok. Some properties of range restricted GMRES methods. Journal of Computational and Applied Mathematics, Elsevier, 2015, 290, pp.310-318. ⟨10.1016/j.cam.2015.05.008⟩. ⟨hal-03135561⟩

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