After successful completion of the course, students are able to carry out a study of literature concerning a complex mathematical question, to work out the work the results of the study, provide a lecture and discuss the results with the participants of the seminar.  Seminar work shall be documented.

This semester, in this seminar, we focus on numerical linear algebra both from a theoretical and implementational aspect.

Possible topics are:

• High performace computing (HPC) in numerical linear algebra
• Krylov-space methods for iterative solution of (symmetric) positive definite systems
• CG-method (idea and convergence)
• GMRES-method (convergence description with pseudospectra)
• Iterative methods for saddle-point problems (Uzawa-Algorithm)
• Numerical methods for eigenvalue problems
• Lanczos-method
• Singular value decomposition

More details are presented in the preliminary meeting.

Study of the literature, a seminar talk and a seminar thesis.

Seminar talk and seminar thesis.

Numerische Mathematik A, Mathematik des 1. Studienabschnittes