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