• DOI:10.1016/j.jcp.2016.08.027
Corpus ID: 9831457

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}
}

A. Pieper, M. Kreutzer, +5 authors G. Wellein

Published 2016

Mathematics, Physics, Computer Science

ArXiv

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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