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math.NA2022
On the Forsythe conjecture
Vance Faber, Jörg Liesen, Petr Tichý
Forsythe formulated a conjecture about the asymptotic behavior of the restarted conjugate gradient method in 1968. We translate several of his results into modern terms, and genera…
math.NA2013★ 1 cited
Characterization of worst-case GMRES
Vance Faber, Jörg Liesen, Petr Tichý
Given a matrix and iteration step , we study a best possible attainable upper bound on the GMRES residual norm that does not depend on the initial vector . This quantity…