Intendierte Lernergebnisse
After successful completion of this course, students will know basic concepts and methods for discrete inverse problems. They will understand and will be able to prove the most important theoretical results and will be able to apply these methods to selected inverse problems.
Inhalt/e
Discrete linear inverse problems deal with ill-conditioned systems of linear equations. This course focuses on the followings aspects:Basic concepts for discrete inverse problems and examplesLeast squares solutions and generalizationsRegularization methods for linear inverse problemsInverse problems in imaging
Erwartete Vorkenntnisse
Analysis 1-3. Numerics 1 would be a plus.
Literatur
M. Richter, Inverse Problems: Basics, Theory and Applications in Geophysics (second edition), Birkhäuser, 2020