… that combines flexible iterations and a restarting strategy that … flexible GMRES [22] and
GMRES with deflated restarting [15]… that allows deflated restarting and flexible preconditioning. …

… deflation techniques [10], we introduce the randomized flexible GMRES with modified deflated
restarting … sketched orthogonalization for SVD-based deflation. Whereas GCRO-DR is …

… First we introduce a new variant of block flexible restarted GMRES that includes a strategy …
flexible GMRES(m) method as a natural combination of block GMRES(m) and flexible GMRES…

… This makes restarting and preconditioning necessary for solving large sparse … the flexible
preconditioning and the deflated restarting strategies with the adaptive simpler block GMRES …

… , also called deflation, that can … at restart, and use this information to “remove” the smallest
eigenvalues [24]. The approach that we follow taken in this paper is similar to the deflation …

… new deflated version of restarted GMRES. First we … We look at Wu and Simon’s approach
to restarting [48], but for the … is called GMRES-DR, for GMRES with deflated restarting. We felt …

… most recent procedures based on a deflation approach is GMRES with deflated restarting (…
methods with deflated restarting that allow flexible preconditioning. Deflated restarting aims at …

… This preconditioner remains the same during one whole run of GMRES and has nothing to
do with the Flexible GMRES Method [13], that enables to change the preconditioner within the …

… used in conjunction with the DEFLATED-GMRES(m, k) method to make a hybrid algorithm.
Making these decisions during the run permits a flexible restart frequency of different lengths …

… the GMRES approach … deflated restarting and variable preconditioner simultaneously and
is referenced as FGMRES-DR. In outer iteration, we adopt deflation method, which can deflate …