High-performance implementation of Chebyshev filter diagonalization for interior eigenvalue computations
@article{Pieper2016HighperformanceIO, title={High-performance implementation of Chebyshev filter diagonalization for interior eigenvalue computations}, author={A. Pieper and M. Kreutzer and A. Alvermann and Martin Galgon and H. Fehske and Georg Hager and B. Lang and G. Wellein}, journal={ArXiv}, year={2016}, volume={abs/1510.04895} }
We study Chebyshev filter diagonalization as a tool for the computation of many interior eigenvalues of very large sparse symmetric matrices. In this technique the subspace projection onto the target space of wanted eigenvectors is approximated with filter polynomials obtained from Chebyshev expansions of window functions. After the discussion of the conceptual foundations of Chebyshev filter diagonalization we analyze the impact of the choice of the damping kernel, search space size, and… CONTINUE READING
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References
SHOWING 1-10 OF 50 REFERENCES
A low-storage filter diagonalization method for quantum eigenenergy calculation or for spectral analysis of time signals
- Physics
- 1997
- 170
On Large-Scale Diagonalization Techniques for the Anderson Model of Localization
- Mathematics, Computer Science
- SIAM J. Sci. Comput.
- 2006
- 63
- PDF
Self-consistent-field calculations using Chebyshev-filtered subspace iteration
- Mathematics, Computer Science
- J. Comput. Phys.
- 2006
- 127
- PDF
Increasing the Performance of the Jacobi-Davidson Method by Blocking
- Computer Science
- SIAM J. Sci. Comput.
- 2015
- 28
- PDF
On the parallel iterative solution of linear systems arising in the FEAST algorithm for computing inner eigenvalues
- Computer Science
- Parallel Comput.
- 2015
- 23
- PDF
Dissecting the FEAST algorithm for generalized eigenproblems
- Computer Science, Mathematics
- J. Comput. Appl. Math.
- 2013
- 34
- PDF