Abstract
In the past few years new methods have been proposed that can be seen as combinations of standard Krylov subspace methods, such as Bi—CG and GM-RES. Such hybrid schemes include CGS, BiCGSTAB, QMRS, TFQMR, and the nested GMRESR method. These methods have been successful in solving relevant sparse nonsymmetric linear systems, but there is still a need for further improvements. In this paper we will highlight some of the recent advancements in the search for effective iterative solvers.
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References
M. Driessen, H.A.v.d. Vorst, Bi-CGSTAB in Semiconductor Modeling, Proc. SISDEP (1991).
O. Heinreichsberger et al., Fast Iterative Solution of Carrier Continuity Equations for Three-Dimensional Device Simulation,SIAM J.Sci.Stat.Comp., Vol. 13, No. 1, pp. 289–306 (1992).
C. Pommerell, Solution of Large Unsymmetric Systems of Linear Equations, Doctoral Thesis, ETH Zurich (1992).
Y. Saad, Preconditioning Techniques for Nonsymmetric and Indefinite Linear Systems, J.Comp. Appl.Math., Vol. 24, pp. 89–105 (1988).
S.M. Sze, High-Speed Semiconductor Devices, John Wiley & Sons, p. 177 (1990).
H.A.v.d. Vorst, A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Systems, SIAM J.Sci.Stat.Comp., Vol. 13, No. 2, pp. 631–644 (1992).
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© 1993 Springer-Verlag Wien
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Van der Vorst, H.A., Fokkema, D.R., Sleijpen, G.L. (1993). Further Improvements in Nonsymmetric Hybrid Iterative Methods. In: Selberherr, S., Stippel, H., Strasser, E. (eds) Simulation of Semiconductor Devices and Processes. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6657-4_21
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DOI: https://doi.org/10.1007/978-3-7091-6657-4_21
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-7372-5
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