Title
Convergence of the Gauss-Newton Method for Convex Composite Optimization under a Majorant Condition.
Abstract
Under the hypothesis that an initial point is a quasi-regular point, we use a majorant condition to present a new semilocal convergence analysis of an extension of the Gauss-Newton method for solving convex composite optimization problems. In this analysis the conditions and proof of convergence are simplified by using a simple majorant condition to define regions where a Gauss-Newton sequence is well behaved.
Year
DOI
Venue
2013
10.1137/110841606
SIAM JOURNAL ON OPTIMIZATION
Keywords
Field
DocType
convex composite optimization problem,Gauss-Newton methods,majorant condition,semilocal convergence
Convergence (routing),Mathematical optimization,Gauss newton method,Composite number,Regular polygon,Optimization problem,Mathematics
Journal
Volume
Issue
ISSN
23
3
1052-6234
Citations 
PageRank 
References 
6
0.56
6
Authors
3
Name
Order
Citations
PageRank
Orizon P. Ferreira17210.56
M. L. N. Gonçalves2455.93
P. Roberto Oliveira3415.23