Numerical Linear Algebra

Study & Teaching

Course offerings

The members of the Numerical Linear Algebra group regularly offer the following courses for students in the mathematical bachelor's and master's programs:

In addition, the following courses are offered regularly for students of other study programs:

Courses in summer semester 2024

CourseLecturer
Matrix TheoryJörg Liesen
Variational Calculus and Optimal ControlMichael Karow
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Project Numerical AnalysisMichael Karow
Matrix functions (Advanced Topics in Numerical Linear Algebra (5 ECTS))Jan Zur
Mathematics II for EconomicsJan Zur

Courses in previous semesters

Winter semester 2023/24

CourseLecturer
Numerical Linear AlgebraJörg Liesen
Seminar Numerical Linear AlgebraJörg Liesen
Prep course Scientific ComputingJörg Liesen
Numerical Analysis I for the Engineering SciencesMichael Karow
Differential Equations and Numerics for Mechanical EngineeringMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Analysis I and Linear Algebra for Engineering SciencesSandra Keiper
Mathematics I for EconomicsJan Zur

Summer semester 2023

CourseLecturer
Advanced Topics in Numerical Linear Algebra (5 ECTS)Jörg Liesen
Matrix TheoryJörg Liesen
Variational Calculus and Optimal ControlMichael Karow
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Project Numerical AnalysisMichael Karow
Integral Transforms and Partial Differential Equations for Engineering SciencesSandra Keiper

Winter semester 2022/23

CourseLecturer
Numerical Linear AlgebraJörg Liesen
Prep Course for Scientific ComputingJörg Liesen
Numerical Analysis I for the Engineering SciencesMichael Karow
Differential Equations and Numerics for Mechanical EngineeringMichael Karow
Introduction to Information Technology for EngineersMichael Karow

Summer semester 2022

CourseLecturer
Numerical Linear Algebra IJörg Liesen
COSSE-SeminarJörg Liesen
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Project Numerical AnalysisMichael Karow

Winter semester 2021/22

CoursesLecturer
Differential Equations and Numerics for Mechanical EngineeringMichael Karow
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow

Summer semester 2021

CourseLecturer
Linear Algebra IIJörg Liesen
Matrix TheoryJörg Liesen
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Project Numerical AnalysisMichael Karow

Winter semester 2020/21

CoursesLecturer
Linear Algebra IJörg Liesen
Seminar - Numerical Linear AlgebraJörg Liesen
Differential Equations and Numerics for Mechanical EngineeringMichael Karow
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow

Summer semester 2020

CoursesLecturer
Linear Algebra IIJörg Liesen
Numerical Linear Algebra IIJörg Liesen
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Variational Calculus and Optimal ControlMichael Karow

Winter semester 2019/20

CoursesLecturer
Linear Algebra IJörg Liesen
Numerical Linear Algebra IJörg Liesen
Differential Equations and Numerics for Mechanical EngineeringMichael Karow
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Analysis I and Linear Algebra for Engineering SciencesOlivier Sète
Seminar - Harmonic mappings in the planeOlivier Sète

Summer semester 2019

CoursesLecturer
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Project Numerical AnalysisMichael Karow

Winter semester 2018/19

CoursesLecturer
Linear Algebra IIJörg Liesen
Seminar - Numerical Linear AlgebraJörg Liesen
Differential Equations and Numerics for Mechanical EngineeringMichael Karow
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow

Summer semester 2018

CoursesLecturer
Linear Algebra IJörg Liesen
Matrix theoryJörg Liesen
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Numerical Linear Algebra IIOlivier Sète

Winter semester 2017/18

CoursesLecturer
Numerical Analysis I for the Engineering SciencesMichael Karow
Introduction to Information Technology for EngineersMichael Karow
Numerical Linear Algebra IOlivier Sète

Bachelor's and Master's theses

For writing a Bachelor's or Master's thesis in the group, the knowledge from the course Numerical Linear Algebra is mandatory. Ideally, the associated seminar Numerical Linear Algebra should have also been taken. Thesis topics are based on the main research interests of the group, in particular the numerical solution of large linear systems of equations and eigenvalue problems, the theory and numerics of matrix functions, and numerical topics of complex analysis.

Selected supervised theses

Master's theses

  • Zentralitätsmaße für Graphen und Hypergraphen (2021)
  • From CG to MINRES: On the difference between exact and finite precision computations (2021)
  • Lokalisierung von Eigenvektoren und ihre Anwendungen (2021)
  • Short multiple recursion conjugate gradient algorithms: Necessary and sufficient conditions (2021)
  • Scalar measures of nonnormality of matrices (2020)
  • The Forsythe Conjecture (2020)
  • GMRES with weighted inner products (2020)
  • Smoothed Analysis von Krylov-Raum-Verfahren (2020)
  • A randomized approach to low-rank matrix factrization (2020)
  • Computing Walsh's conformal map for multiply connected domains (2019)
  • Numerical solution of linear integral equations (2018)
  • Numerical solution of saddle point problems with nonstandard CG methods (2018)
  • On the convergence behavior of spectral deferred correction methods for convection-diffusion equations (2017)
  • Verallgemeinerte Arnoldi-Algorithmen mit kurzen Rekursionen (2017)
  • Die Nullstellen spezieller rationaler harmonischer Funktionen und der Gravitationslinseneffekt (2016)

Bachelor's theses

  • On extensions of Gerstenhaber's theorem and the Weyr form (2021)
  • Rückwärtsfehleranalyse bei der Berechnung eines gemeinsamen Eigenvektors zweier Matrizen (2021)
  • Weniger ist mehr. Eigenpaarfilterung am Beispiel hermitesch positiv definiter Eigenwertprobleme (2018)
  • Konditionierung der Fréchet-Ableitung von Matrix-Funktionen (2016)
  • Implementierung eines adaptierten Lanczos-Verfahrens zur Verdichtung normaler Matrizen auf Bandgestalt (2016)
  • Flexible inner-outer Krylov subspace methods with a focus on FGMRES (2016)