R(3)GMRES: INCLUDING PRIOR INFORMATION IN GMRES-TYPE METHODS FOR DISCRETE INVERSE PROBLEMS

R(3)GMRES: INCLUDING PRIOR INFORMATION IN GMRES-TYPE METHODS FOR DISCRETE INVERSE PROBLEMS. Dong, Y., Garde, H., & Hansen, P., C. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 42:136-146, KENT STATE UNIVERSITY, ETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, OH 44242-0001 USA, 2014.

Website abstract bibtex

Lothar Reichel and his collaborators proposed several iterative algorithms that augment the underlying Krylov subspace with an additional low-dimensional subspace in order to produce improved regularized solutions. We take a closer look at this approach and investigate a particular Regularized Range-Restricted GMRES method, R(3)GMRES, with a subspace that represents prior information about the solution. We discuss the implementation of this approach and demonstrate its advantage by means of several test problems.

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 abstract = {Lothar Reichel and his collaborators proposed several iterative algorithms that augment the underlying Krylov subspace with an additional low-dimensional subspace in order to produce improved regularized solutions. We take a closer look at this approach and investigate a particular Regularized Range-Restricted GMRES method, R(3)GMRES, with a subspace that represents prior information about the solution. We discuss the implementation of this approach and demonstrate its advantage by means of several test problems.},
 bibtype = {article},
 author = {Dong, Yiqiu and Garde, Henrik and Hansen, Per Christian},
 journal = {ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS}
}

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