16 citations · 59 across the 11 of their papers we have counts for
12 papers
Arithmetic Complexity of Solutions of the Dirichlet Problem
Holger Boche, Volker Pohl, H. Vincent Poor
The classical Dirichlet problem on the unit disk can be solved by different numerical approaches. The two most common and popular approaches are the integration of the associated P…
Iterative Optimization of Multidimensional Functions on Turing Machines under Performance Guarantees
Holger Boche, Volker Pohl, H. Vincent Poor
This paper studies the effective convergence of iterative methods for solving convex minimization problems using block Gauss--Seidel algorithms. It investigates whether it is alway…
On non-detectability of non-computability and the degree of non-computability of solutions of circuit and wave equations on digital computers
Holger Boche, Volker Pohl
It is known that there exist mathematical problems of practical relevance which cannot be computed on a Turing machine. An important example is the calculation of the first derivat…
Compressive phase retrieval of sparse bandlimited signals
Çağkan Yapar, Volker Pohl, Holger Boche
This contribution proposes a two stage strategy to allow for phase retrieval in state of the art sub-Nyquist sampling schemes for sparse multiband signals. The proposed strategy is…
Fast Compressive Phase Retrieval from Fourier Measurements
Çağkan Yapar, Volker Pohl, Holger Boche
This paper considers the problem of recovering a -sparse, -dimensional complex signal from Fourier magnitude measurements. It proposes a Fourier optics setup such that signal…
System Approximations and Generalized Measurements in Modern Sampling Theory
Holger Boche, Volker Pohl
This paper studies several aspects of signal reconstruction of sampled data in spaces of bandlimited functions. In the first part, signal spaces are characterized in which the clas…