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math.OCAug 20, 2013
38
citations (OpenAlex)
authors
  • Francisco J. Aragón Artacho
  • Jonathan M. Borwein
  • Matthew K. Tam
institutions
  • Luxembourg Centre for Systems Biomedicine
  • University of Luxembourg
  • University of Newcastle Australia
arXiv abstractPDF
paper

Douglas-Rachford Feasibility Methods for Matrix Completion Problems

arXiv:1308.4243 · doi:10.1017/S1446181114000145

Abstract

In this paper we give general recommendations for successful application of the Douglas-Rachford reflection method to convex and non-convex real matrix-completion problems. These guidelines are demonstrated by various illustrative examples.

30 pages, 4 figures, 3 tables

References in corpus (1)

  • Cooperative Wireless Sensor Network Positioning via Implicit Convex Feasibility

Cited by in corpus (8)

  • Global Behavior of the Douglas-Rachford Method for a Nonconvex Feasibility Problem
  • On the linear convergence of the circumcentered-reflection method
  • A new projection method for finding the closest point in the intersection of convex sets
  • Dynamics of the Douglas-Rachford Method for Ellipses and p-Spheres
  • Reflection methods for inverse problems with application to protein conformation determination
  • Regularity Properties of Non-Negative Sparsity Sets
  • Douglas--Rachford Splitting and ADMM for Pathological Convex Optimization
  • A feasibility approach for constructing combinatorial designs of circulant type
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