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Local Linear Convergence of an Outer Approximation Projection Method for Variational Inequalities.

Authors :
Lu, Shu
Singh, Sudhanshu
Source :
Journal of Optimization Theory & Applications. Oct2011, Vol. 151 Issue 1, p52-63. 12p.
Publication Year :
2011

Abstract

This paper considers an outer approximation projection method for variational inequalities, in which the projections are not performed on the original set that appears in the variational inequality, but on a polyhedral convex set defined by the linearized constraints. It shows that the method converges linearly, when the starting point is sufficiently close to the solution and the step lengths are sufficiently small. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00223239
Volume :
151
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Optimization Theory & Applications
Publication Type :
Academic Journal
Accession number :
65548352
Full Text :
https://doi.org/10.1007/s10957-011-9873-8