Geodesic
BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
Electronic transactions on numerical analysis, Tome 1 (1993), pp. 11-32
For a number of linear systems of equations arising from realistic problems, using the Bi-CGSTAB algorithm of van der Vorst [17] to solve these equations is very attractive. Unfortunately, for a large class of equations, where, for instance, Bi-CG performs well, the convergence of Bi- CGSTAB stagnates. This was observed specifically in case of discretized advection dominated PDE's.
Classification : 65F10
Keywords: bi-conjugate gradients, non-symmetric linear systems, CGS, bi-CGSTAB, iterative solvers, GMRES, Krylov subspace 
@article{ETNA_1993__1__a5,
     author = {Sleijpen,  Gerard L.G. and Fokkema,  Diederik R.},
     title = {BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum},
     journal = {Electronic transactions on numerical analysis},
     pages = {11--32},
     year = {1993},
     volume = {1},
     zbl = {0820.65016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1993__1__a5/}
}
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%D 1993
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%U http://geodesic.mathdoc.fr/item/ETNA_1993__1__a5/
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%F ETNA_1993__1__a5
Sleijpen,  Gerard L.G.; Fokkema,  Diederik R. BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum. Electronic transactions on numerical analysis, Tome 1 (1993), pp. 11-32. http://geodesic.mathdoc.fr/item/ETNA_1993__1__a5/