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DOUGLAS–RACHFORD FEASIBILITY METHODS FOR MATRIX COMPLETION PROBLEMS

Published online by Cambridge University Press:  25 July 2014

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
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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.

Type
Research Article
Copyright
Copyright © 2014 Australian Mathematical Society 

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