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Zbl 1199.65112
Simoncini, Valeria; Szyld, Daniel B.
Recent computational developments in Krylov subspace methods for linear systems. (English)
[J] Numer. Linear Algebra Appl. 14, No. 1, 1-59 (2007). ISSN 1070-5325; ISSN 1099-1506/e

Summary: Many advances in the development of Krylov subspace methods for the iterative solution of linear systems during the last decade and a half are reviewed. These new developments include different versions of restarted, augmented, deflated, flexible, nested, and inexact methods. Also reviewed are methods specifically tailored to systems with special properties such as special forms of symmetry and those depending on one or more parameters.

MSC 2000:: *65F10 Iterative methods for linear systems
65F50 Sparse matrices
65-02 Research monographs (numerical analysis)

Keywords: Krylov subspace method; iterative methods; linear systems; survey paper; restarted, augmented, deflated, flexible, nested, and inexact methods

Cited in: Zbl 1213.65060

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