University of Göttingen - Institute for Numerical and Applied Mathematics
Markus Petz

Current projects
Discovering structure in complex data: Statistics meets Optimization and Inverse Problems (2015-2024)
DFG Research Training Group 2088 (RTG 2088)
Completed projects
Efficient function reconstruction using eigenfunctions of linear operators (2014-2019)
DFG project
Teaching
Research seminar: Numerical Analysis (English) (SS 2022)
Thursday 12.30 - 14.00 (2 SWS)
Research seminar: Numerical Analysis (English) (WS 2021/2022)
Thursday 12.30 - 14.00, online (2 SWS)
Research seminar: Numerical Analysis (English) (SS 2021)
Thursday 12.30 - 14.00, online (2 SWS)
Research seminar: Numerical Analysis (English) (WS 2020/2021)
Thursday 12.30 - 14.00, online (2 SWS)
Research seminar: Numerical Analysis (English) (SS 2020)
Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
Research seminar: Numerical Analysis (English) (WS 2019/2020)
Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
Research seminar: Numerical Analysis (English) (SS 2019)
Monday 14.15 - 15.45, MN 68 (2 SWS)
Exercises: Mathematik für Informatik-Anfänger/innen I (MafIA I) - Übung (German) (WS 2018/2019)
Tuesday, 10.15 - 11.45, MN 67 (2 SWS)
Research seminar: Numerical Analysis (English) (WS 2018/2019)
Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
Research seminar: Numerical Analysis (English) (SS 2018)
Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
Workshops
6th RTG Workshop 2021
September 6-8, 2021 in Mariaspring, Germany
GAMM 91th Annual Scientific Conference (Talk)
March 16 - 19, 2021 in Kassel (online)
5th RTG Workshop 2020
October 5-6, 2020 in Goettingen, Germany
4rd Workshop of the RTG 2088
September 30 - October 2, 2019 in Akademie Waldschlösschen
29. Rhein-Ruhr-Workshop
January 31 - February 1, 2019 in Bestwig
RTG Workshop Sparse Approximation with Exponential Sums and Applications
November 26 - 27, 2018 in Göttingen
3rd Workshop of the RTG 2088 (Talk)
September 24 - 26, 2018 in Bebra
Curves and Surfaces 2018
June 28 - July 4, 2018 in Arcachon
28. Rhein-Ruhr-Workshop (Talk)
February 2 - 3, 2018 in Bestwig
Publications
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation
Nadiia Derevianko, Gerlind Plonka, Markus Petz
IMA Journal of Numerical Analysis, 43(2), 789–827, 2023 (preprint available at arXiv)
Rational Functions for the Reconstruction of Exponential Sums from their Fourier Coefficients
Markus Petz, Gerlind Plonka, Nadiia Derevianko
PAMM · Proc. Appl. Math. Mech. 21:1 e202100078, 2021 (DOI: 10.1002/pamm.202100078)
Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm and Spectral Norm and Cadzow's Algorithm
Hanna Knirsch, Markus Petz, Gerlind Plonka
Linear Algebra Appl. 629, 1-39, 2021 (preprint available at arXiv)
Exact Reconstruction of Sparse Non-Harmonic Signals from their Fourier Coefficients
Markus Petz, Gerlind Plonka, Nadiia Derevianko
Sampling Theory, Signal Processing, and Data Analysis 19, 7 (open access), 2021 (preprint available at arXiv)
The Difference between Optimal Rank-1 Hankel Approximations in the Frobenius Norm and the Spectral Norm
Hanna Knirsch, Markus Petz, Gerlind Plonka
Proc. Appl. Math. Mech. Volume 20, 85-86, 2020 (DOI 10.1002/pamm.202000085)
Software
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients, implemented in MATLAB.
Markus Petz, Gerlind Plonka, Nadiia Derevianko
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation, implemented in MATLAB.
Nadiia Derevianko, Gerlind Plonka, Markus Petz
Dr. Markus Petz