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- Title:
Parallel Eigenvalue Computation for Banded Generalized Eigenvalue Problems
- Document type:
- Zeitschriftenaufsatz
- Author(s):
- Rippl, Michael; Lang, Bruno; Huckle, Thomas
- Abstract:
- We consider generalized eigenvalue problems $Ax=Bx\lambda$ with banded hermitian matrix $A$ and hermitian positive definite $B$. To reduce the generalized eigenvalue problem to standard form $Cy=y\lambda$ the algorithm proposed by Crawford is applied preserving the banded structure in $C$. We present a parallel implementation of this method included in the ELPA library. Numerical experiments show the advantages of this approach compared to standard solvers.
- Congress title:
- International Workshop on Parallel Matrix Algorithms and Applications
- Journal title:
- Parallel Computing
- Year:
- 2019
- Journal volume:
- 88
- Year / month:
- 2019-04
- Quarter:
- 2. Quartal
- Month:
- Apr
- Pages contribution:
- 102542
- Reviewed:
- ja
- Language:
- en
- Fulltext / DOI:
- doi:10.1016/j.parco.2019.07.002
- WWW:
- https://www.sciencedirect.com/science/article/pii/S0167819119301279
- Publisher:
- Elsevier
- Status:
- Verlagsversion / published
- Accepted:
- 29.07.2019
- Date of publication:
- 04.08.2019
- TUM Institution:
- Department of Informatics
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