Application of Efficient Matrix Inversion to the Decomposition of Hierarchical Matrices

On this page, you can find my Bachelor’s Thesis, supplementary material and errata.

Citation

This work may be cited as:

Moritz Klammler, Application of Efficient Matrix Inversion to the Decomposition of Hierarchical Matrices. Bachelor’s thesis, Karlsruhe Institute of Technology, 2014. http://klammler.eu/bsc/

The following BibTeX entry might come handy:

@Thesis{Klammler2014,
  author = "Klammler, Moritz",
  title = "Application of Efficient Matrix Inversion to the Decomposition of Hierarchical Matrices",
  school = "Karlsruhe Institute of Technology",
  year = "2014",
  month = "11",
  type = "bachelor's thesis",
  address = "Karlsruhe, Germany",
  url = "https://klammler.eu/bsc/",
}
    

Downloads

• Full text of the thesis (desktop version)
• Full text of the thesis (print version)
• Raw experimental data in an SQLite database file
• SQL schema for the above database
• Source code for the report (includes experimental data)
• Source code for the implementation of the algorithms

Errata

1. The variables k₁₂₀ and k₁₂₇ in figure 5.6 should have be named d₁₂₀ and d₁₂₇ to match the names used in the surrounding text.
2. In the first paragraph of § 1.1, it should be distributed, not shared memory systems.
3. In figure 4.7, the type of M⁻¹ in the InversePreconditioner class is wrong. It should be FullMatrix, not ArrangedMatrix.