Inverse Problems

Webpage of the Course MAT.501UB WS 2022/23

General Information

Welcome to the Practical Course of Inverse Problems MAT.501UB for the Master Degree in Mathematics at the University of Graz. This is the companion module to the theoretical Course of Inverse Problems MAT.500UB. Exercise sheets will be released every two weeks which will cover practical aspects of the topics covered in MAT.500UB. There will also be coding assignments in MatLab or Python.

Please do not hesitate to email me with any questions you have regarding the module or the exercises.

Note: I thank my predecessors Martin Holler, Richard Huber and Francisco Romero for providing lots of high quality teaching material.

Lectures Calendar

There will be 6 classes in Room 11.34 from 12:00-13:30. These are the dates:

Assessment Rules

To each Lecture will correspond one Exercise Sheet. This will be uploaded 2 weeks before the Lecture, and is due for Crossing and Presentation on the day of the Lecture.

The Final Percentage is computed by averaging Presentation Percentage and Crossing Percentage. The Final Percentage will be converted into a Final Grade according to the table below. A pass will be granted for a grade of 4 or better.

Percentage 0-49% 50-59% 60-74% 75-89% 90-100%
Grade 5 4 3 2 1



Exercise Sheets

Due date Exercises Topics
11 Oct Sheet 1 Differentiation. Deconvolution
25 Oct Sheet 2 Compact operators
15 Nov Sheet 3 Minimal norm elements. Moore-Penrose inverse
22 Nov Sheet 4,   Coding 4 Radon Transform (RT) and its numerical implementation
13 Dec Sheet 5,   Coding 5 Singular values of RT. Limited angle problem
24 Jan Sheet 6,   Coding 6 Tikhonov regularization. Primal-Dual Algorithm