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DOUGLAS–RACHFORD FEASIBILITY METHODS FOR MATRIX COMPLETION PROBLEMS

Part of: Miscellaneous applications of operator theory

Published online by Cambridge University Press:  25 July 2014

FRANCISCO J. ARAGÓN ARTACHO ,
JONATHAN M. BORWEIN  and
MATTHEW K. TAM
FRANCISCO J. ARAGÓN ARTACHO
Affiliation:
Systems Biochemistry Group, Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Campus Belval, L-4362 Esch-sur-Alzette, Luxembourg email francisco.aragon@ua.es Address when work was performed: CARMA Centre, University of Newcastle, Callaghan, NSW 2308, Australia email jon.borwein@gmail.com
JONATHAN M. BORWEIN
Affiliation:
CARMA Centre, University of Newcastle, Callaghan, NSW 2308, Australia email matthew.k.tam@gmail.com
MATTHEW K. TAM*
Affiliation:
CARMA Centre, University of Newcastle, Callaghan, NSW 2308, Australia email matthew.k.tam@gmail.com
*
✉matthew.k.tam@gmail.com
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Abstract

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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.

Keywords

Douglas–Rachford projectionsreflectionsmatrix completionfeasibility problemsprotein reconstructionHadamard matrices

MSC classification

Secondary: 90C59: Approximation methods and heuristics 47N10: Applications in optimization, convex analysis, mathematical programming, economics
Type
Research Article
Information
The ANZIAM Journal , Volume 55 , Issue 4 , April 2014 , pp. 299 - 326
Copyright
Copyright © 2014 Australian Mathematical Society 

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