Saad, Yousef Analysis of augmented Krylov subspace methods. (English) Zbl 0871.65026 SIAM J. Matrix Anal. Appl. 18, No. 2, 435-449 (1997). “Augmented Krylov methods” are studied theoretically. These methods for solving a linear system are projection methods in which the subspace of projection is of the form \(K = K_{m} + W\), where \(K_{m}\) is the standard Krylov subspace, which is augmented by another subspace \(W\). The subspace \(W\) can be chosen in different ways. The methods include eigenvalue deflation techniques as well as block-Krylov methods. Reviewer: P.Y.Yalamov (Russe) Cited in 1 ReviewCited in 43 Documents MSC: 65F10 Iterative numerical methods for linear systems Keywords:augmented Krylov methods; projection methods; Krylov subspace; eigenvalue deflation technique; block-Krylov methods PDFBibTeX XMLCite \textit{Y. Saad}, SIAM J. Matrix Anal. Appl. 18, No. 2, 435--449 (1997; Zbl 0871.65026) Full Text: DOI