Swapping 2 × 2 blocks in the Schur and generalized Schur form

Camps, Daan;Mastronardi, Nicola;Vandebril, Raf;Van Dooren, Paul
(2019) Journal of Computational and Applied Mathematics — (2019)

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Authors
  • Camps, Daanorcid-logoDepartment Computer Science,KU Leuven
    Author
  • Mastronardi, Nicolaorcid-logoIstituto per le applicazioni del Calcolo "M. Picone"
    Author
  • Vandebril, Raforcid-logoDepartment Computer Science,KU Leuven
    Author
  • Van Dooren, PaulUCLouvain
    Author
Abstract
In this paper we describe how to swap two 2 × 2 blocks in a real Schur form and a generalized real Schur form. We pay special attention to the numerical stability of the method. We also illustrate the stability of our approach by a series of numerical tests.
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Citations

Camps, D., Mastronardi, N., Vandebril, R., & Van Dooren, P. (2019). Swapping 2 × 2 blocks in the Schur and generalized Schur form. Journal of Computational and Applied Mathematics. Accepted/in-press. https://doi.org/10.1016/j.cam.2019.05.022 (Original work published 2019)