Exponential convergence of distributed primal–dual convex optimization algorithm without strong convexity

This paper establishes exponential convergence rates for a class of primal–dual gradient algorithms in distributed optimization without strong convexity. The convergence analysis is based on a carefully constructed Lyapunov function. By evaluating metric subregularity of the primal–dual gradient map...

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Bibliographic Details

Published in:	Automatica (Oxford) Vol. 105; pp. 298 - 306
Main Authors:	Liang, Shu, Wang, Le Yi, Yin, George
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.07.2019
Subjects:	Convex optimization without strong convexity Distributed optimization Exponential convergence Metric subregularity Primal–dual algorithm Rate of convergence Variational analysis Exponential convergence Metric subregularity Variational analysis Distributed optimization Convex optimization without strong convexity Rate of convergence Primal–dual algorithm
ISSN:	0005-1098, 1873-2836
Online Access:	Get full text
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