Abstract
We present preliminary results of an ongoing project to develop codes of the Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) method for symmetric eigenvalue problems for hypre and PETSc software packages. hypre and PETSc provide high quality domain decomposition and multigrid preconditioning for parallel computers.
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Keywords
- Conjugate Gradient Method
- Precondition Conjugate Gradient
- Lawrence Livermore National Laboratory
- Ritz Vector
- Symmetric Eigenvalue Problem
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Lashuk, I., Argentati, M., Ovtchinnikov, E., Knyazev, A. (2007). Preconditioned Eigensolver LOBPCG in hypre and PETSc. In: Widlund, O.B., Keyes, D.E. (eds) Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34469-8_79
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DOI: https://doi.org/10.1007/978-3-540-34469-8_79
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34468-1
Online ISBN: 978-3-540-34469-8
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