Geodesic
Efficient preconditioning for sequences of parametric complex symmetric linear systems
Electronic transactions on numerical analysis, Tome 18 (2004), pp. 49-64
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 
@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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%A Bertaccini,  Daniele
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%J Electronic transactions on numerical analysis
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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/