An Implementation and Evaluation of the AMLS Method for SparseEigenvalue Problems [electronic resource].
- Washington, D.C. : United States. Dept. of Energy, 2006. and Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Additional Creators:
- United States. Department of Energy and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- We describe an efficient implementation and present aperformance study of an algebraic multilevel sub-structuring (AMLS)method for sparse eigenvalue problems. We assess the time and memoryrequirements associated with the key steps of the algorithm, and compareitwith the shift-and-invert Lanczos algorithm in computational cost. Oureigenvalue problems come from two very different application areas: theaccelerator cavity design and the normal mode vibrational analysis of thepolyethylene particles. We show that the AMLS method, when implementedcarefully, is very competitive with the traditional method in broadapplication areas, especially when large numbers of eigenvalues aresought.
- Published through SciTech Connect., 02/14/2006., "lbnl--57438", ": KJ0101010", ACM Transactions on Mathematical Software 34 4 FT, Yang, Chao; Li, Xiaoye S.; Bai, Zhaojun; Gao, Weiguo., and Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
- Funding Information:
- DE-AC02-05CH11231 and KS1210
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