PhD Thesis


The comprehensive summary ("kappa") is published as technical report. The following contributions are included in the thesis.

  1. Carl Christian Kjelgaard Mikkelsen, Angelika Beatrix Schwarz and Lars Karlsson. Parallel robust solution of triangular linear systems. In Concurrency and Computation: Practice and Experience, e5064, Wiley Online Library, 2018. [doi]
  2. Angelika Schwarz and Lars Karlsson. Scalable Eigenvector Computation for the Non-Symmetric Eigenvalue Problem. In Parallel Computing, volume 85, 131–140, Elsevier, 2019. [doi]
  3. Angelika Schwarz, Carl Christian Kjelgaard Mikkelsen and Lars Karlsson. Robust parallel eigenvector computation for non-symmetric eigenvalue problem. In Parallel Computing, volume 100, 102707, Elsevier, 2020. [doi]
  4. Angelika Schwarz. Robust level-3 BLAS Inverse Iteration from the Hessenberg Matrix. Technical report, arXiv:2101.05063, 2021. [PDF]
  5. Angelika Schwarz, Carl Christian Kjelgaard Mikkelsen. Robust Task-Parallel Solution of the Triangular Sylvester Equation. In Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science, vol 12043, Springer, 2020. [doi]

Funding and Resources

Financial support for the papers I, II, III and V is provided by the European Union’s Horizon 2020 research and innovation programme under grant agreement No 671633 (NLAFET). Support has also been received by eSSENCE, a collaborative e-Science programme funded by the Swedish Government via the Swedish Research Council (VR). The author is grateful to the Department of Computing Science at Umeå University for providing financial support during the work on paper IV.

The computational experiments were enabled by resources by the Swedish National Infrastructure for Computing (SNIC) at High Performance Computing Center North (HPC2N) partially funded by the Swedish Research Council through grant agreement no. 2018-05973. SNIC provided compute hours under the grants SNIC 2017/1-617 (Paper II), SNIC 2018/5-41 (Papers I, III, V), SNIC 2018/3-624 (Paper I, III), SNIC 2018/5-6 (Paper I), SNIC 2019/5-29 (Paper IV) and SNIC 2019/3-311 (Paper IV).