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A numerical method for eigenvalue problems in modeling liquid crystals [electronic resource].

Published
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 1996.
Physical Description
pages 7, Paper 71 : digital, PDF file
Additional Creators
United States. Department of Energy. Office of Scientific and Technical Information
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Summary
Equilibrium configurations of liquid crystals in finite containments are minimizers of the thermodynamic free energy of the system. It is important to be able to track the equilibrium configurations as the temperature of the liquid crystals decreases. The path of the minimal energy configuration at bifurcation points can be computed from the null space of a large sparse symmetric matrix. We describe a new variant of the implicitly restarted Lanczos method that is well suited for the computation of extreme eigenvalues of a large sparse symmetric matrix, and we use this method to determine the desired null space. Our implicitly restarted Lanczos method determines adoptively a polynomial filter by using Leja shifts, and does not require factorization of the matrix. The storage requirement of the method is small, and this makes it attractive to use for the present application.
Report Numbers
E 1.99:conf-9604167--vol.1
conf-9604167--vol.1
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
12/31/1996.
"conf-9604167--vol.1"
"DE96015306"
": Grant F377 DMR-8920147"
"Grant DMS-9409422"
"Grant DMS-9404706"
Copper Mountain conference on iterative methods, Copper Mountain, CO (United States), 9-13 Apr 1996.
Farrell, P.A.; Ruttan, A.; Baglama, J.; Reichel, L.; Calvetti, D.
Front Range Scientific Computations, Inc., Lakewood, CO (United States)
View MARC record | catkey: 14350926