1 citations · 3 across the 6 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.NA2020
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients
Markus Petz, Gerlind Plonka, Nadiia Derevianko
In this paper, we derive a new reconstruction method for real non-harmonic Fourier sums, i.e., real signals which can be represented as sparse exponential sums of the form $f(t) =…
math.NA2020★ 1 cited
Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm, Spectral Norm, and Cadzow's Algorithm
Hanna Knirsch, Markus Petz, Gerlind Plonka
We characterize optimal rank-1 matrix approximations with Hankel or Toeplitz structure with regard to two different norms, the Frobenius norm and the spectral norm, in a new way. M…
math.NA2020
Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential Sums
Ingeborg Keller, Gerlind Plonka
In this survey we describe some modifications of Prony's method. In particular, we consider the recovery of general expansions into eigenfunctions of linear differential operators…