Geodesic
Efficient preconditioning for sequences of parametric complex symmetric linear systems
Electronic transactions on numerical analysis, Tome 18 (2004), pp. 49-64
Zbl   EuDML
Solution of sequences of complex symmetric linear systems of the form Aj xj = bj , j = 0, $\dots , s, Aj = A + \alpha j$ Ej , A Hermitian, E0,$ \dots $, Es complex diagonal matrices and $\alpha 0, \dots , \alpha s$ scalar complex parameters arise in a variety of challenging problems. This is the case of time dependent PDEs; lattice gauge computations in quantum chromodynamics; the Helmholtz equation; shift-andinvert and Jacobi-Davidson algorithms for large-scale eigenvalue calculations; problems in control theory and many others. If A is symmetric and has real entries then Aj is complex symmetric.
Classification : 65F10, 65N22, 15A18
Keywords: complex symmetric linear systems, preconditioning, parametric algebraic linear systems, incomplete factorizations, sparse approximate inverses 
Bertaccini,  Daniele. Efficient preconditioning for sequences of parametric complex symmetric linear systems. Electronic transactions on numerical analysis, Tome 18 (2004), pp. 49-64. http://geodesic.mathdoc.fr/item/ETNA_2004__18__a10/
@article{ETNA_2004__18__a10,
     author = {Bertaccini,  Daniele},
     title = {Efficient preconditioning for sequences of parametric complex symmetric linear systems},
     journal = {Electronic transactions on numerical analysis},
     pages = {49--64},
     year = {2004},
     volume = {18},
     zbl = {1066.65048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2004__18__a10/}
}
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