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Analysis of augmented Krylov subspace methods. (English) Zbl 0871.65026

“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.

MSC:

65F10 Iterative numerical methods for linear systems
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