Welcome to ProxToolbox’s documentation!

The ProxToolbox is a collection of modules for solving mathematical problems using fixed point iterations with proximal operators. It was used to generate many if not all of the numerical experiments conducted in the papers in the ProxMatlab Literature folder.

For a complete listing of papers with links, go to publications

This site is maintained by the Working Group in Variational Analysis at the University of Göttingen

Video: Representative iterate of a noisy JWST test wavefront recovered with the Douglas-Rachford algorithm.

Python version 1.0.4

`Download <ProxPythonTar_>`_

Matlab version

Source (10.5mb)

Additional data

Phase (28mb)

Ptychography (417mb)

CT (1.7mb)

The binary data need to be unpacked in the InputData subdirectory.

ProxToolbox

Copyright:

2015, D. Russell Luke
License:

BSD, see LICENSE for more details.
Contributors:
  • Sylvain Gretchko, Inst. for Numerical and Applied Math, Universität Göttingen (python),
  • Matthijs Jansen, I. Institute for Physics, University of Göttingen (Orbital Tomography);
  • Alexander Dornheim, Inst. for Numerical and Applied Math, Universität Göttingen (python);
  • Stefan Ziehe, Inst. for Numerical and Applied Math, Universität Göttingen (python);
  • Rebecca Nahme, Inst. for Numerical and Applied Math, Universität Göttingen (python);
  • Matthew Tam, CARMA, University of Newcastle, Australia (Ptychography);
  • Pär Mattson, Inst. for Numerical and Applied Math, Universität Göttingen (Ptychography);
  • Robin Wilke, Inst. for X-Ray Physics, Univesität Göttingen (Ptychography and Phase);
  • Robert Hesse, Inst. for Numerical and Applied Math, Universität Göttingen;
  • Alexander Stalljahn, Inst. for Numerical and Applied Math, Universität Göttingen (Sudoku).
Funding:

This has grown over the years and has been supported in part by:

  • NASA grant NGT5-66
  • Pacific Institute for Mathematical Sciences (PIMS)
  • USA NSF Grant DMS-0712796
  • German DFG grant SFB-755 TPC2
  • German Israeli Foundation (GIF) grant G-1253-304.6/2014.

In the following, we provide a tutorial and a manual for the python version of the ProxToolbox. For help with the Matlab version, see the README file in the ProxMatlab tar-ball.

Indices and tables