High Performance Solution of Skew-symmetric Eigenvalue Problems with Applications in Solving the Bethe-Salpeter Eigenvalue Problem

@article{Benner2020HighPS,
  title={High Performance Solution of Skew-symmetric Eigenvalue Problems with Applications in Solving the Bethe-Salpeter Eigenvalue Problem},
  author={P. Benner and C. Ambrosch-Draxl and A. Marek and Carolin Penke and C. Vorwerk},
  journal={Parallel Comput.},
  year={2020},
  volume={96},
  pages={102639}
}
  • P. Benner, C. Ambrosch-Draxl, +2 authors C. Vorwerk
  • Published 2020
  • Mathematics, Computer Science
  • Parallel Comput.
  • We present a high-performance solver for dense skew-symmetric matrix eigenvalue problems. Our work is motivated by applications in computational quantum physics, where one solution approach to solve the so-called Bethe-Salpeter equation involves the solution of a large, dense, skew-symmetric eigenvalue problem. The computed eigenpairs can be used to compute the optical absorption spectrum of molecules and crystalline systems. One state-of-the art high-performance solver package for symmetric… CONTINUE READING
    Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems

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