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Zbl 0599.65018
Saad, Youcef; Schultz, Martin H.
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. (English)
[J] SIAM J. Sci. Stat. Comput. 7, 856-869 (1986). ISSN 0196-5204

An iterative algorithm for solving linear systems, which has the property of minimizing at every step the norm of the residual vector over a Krylov subspace is presented. The new method presents several advantages over the "generalized conjugate residual" method and the ORTHODIR method. Few numerical comparisons are given.
[S.Filippi]

MSC 2000:: *65F10 Iterative methods for linear systems
65F25 Orthogonalization (numerical linear algebra)

Keywords: minimal residual method; generalized conjugate residual method; iterative algorithm; Krylov subspace; ORTHODIR method; numerical comparisons

Cited in: Zbl 1208.65043 Zbl 1113.65028 Zbl 1121.65314 Zbl 1079.65031 Zbl 0966.65034 Zbl 0954.65026 Zbl 0913.65109 Zbl 0916.65025 Zbl 0884.65025 Zbl 0873.65029 Zbl 0857.65060 Zbl 0831.65033 Zbl 0806.65030 Zbl 0806.65032 Zbl 0806.65031 Zbl 0810.65030 Zbl 0799.65036 Zbl 0797.65026 Zbl 0818.65023 Zbl 0785.65043 Zbl 0772.65025 Zbl 0758.65029 Zbl 0755.65109 Zbl 0753.65046 Zbl 0741.65026 Zbl 0719.65022 Zbl 0717.76084 Zbl 0755.65034

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