B. Fischer

C.C. Paige

D. Calvetti

M. Hanke

M.E. Kilmer

P.C. Hansen

P.N. Brown

T.K. Jensen

Y. Saad

Crossref

Iterative regularization with minimum-residual methods

We study the regularization properties of iterative minimum-residual methods applied to discrete ill-posed problems. In these methods, the projection onto the underlying Krylov subspace acts as a regularizer, and the emphasis of this work is on the role played by the basis vectors of these Krylov subspaces. We provide a combination of theory and numerical examples, and our analysis confirms the experience that MINRES and MR-II can work as general regularization methods. We also demonstrate theoretically and experimentally that the same is not true, in general, for GMRES and RRGMRES - their success as regularization methods is highly problem dependent

Jensen, Toke Koldborg

Hansen, Per Christian

Online Research Database In Technology

We study the regularization properties of iterative minimum-residual methods applied to discrete ill-posed problems. In these methods, the projection onto the underlying Krylov subspace acts as a regularizer, and the emphasis of this work is on the role played by the basis vectors of these Krylov subspaces. We provide a combination of theory and numerical examples, and our analysis confirms the experience that MINRES and MR-II can work as general regularization methods. We also demonstrate theoretically and experimentally that the same is not true, in general, for GMRES and RRGMRES their success as regularization methods is highly problem dependent

Iterative Regularization with Minimum-Residual Methods

http://orbit.dtu.dk/ws/files/2810452/imm4504.pdf

Iterative regularization with minimum-residual methods

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Crossref

Online Research Database In Technology

Online Research Database In Technology