Douglas-Rachford feasibility methods for matrix completion problems

Authors

  • Francisco Javier Aragón Artacho System Biochemistry Group, Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Campus Belval, L-4362 Esch-zur-Alzette
  • Jonathan Michael Borwein University of Newcastle
  • Matthew Kyle Tam University of Newcastle

DOI:

https://doi.org/10.21914/anziamj.v55i0.7470

Keywords:

Douglas-Rachford, projections, reflections, matrix completion, feasibility problems, proteins reconstruction, Hadamard matrices

Abstract

In this paper, we give general recommendations for successful application of the Douglas–Rachford reflection method to convex and nonconvex real matrix completion problems. These guidelines are demonstrated by various illustrative examples. doi:10.1017/S1446181114000145

Published

2014-10-03

Issue

Vol. 55 (2013)

Section

Articles for Printed Issues