Title
Primal-dual nonlinear rescaling method with dynamic scaling parameter update
Abstract
In this paper we developed a general primal-dual nonlinear rescaling method with dynamic scaling parameter update (PDNRD) for convex optimization. We proved the global convergence, established 1.5-Q-superlinear rate of convergence under the standard second order optimality conditions. The PDNRD was numerically implemented and tested on a number of nonlinear problems from COPS and CUTE sets. We present numerical results, which strongly corroborate the theory.
Year
DOI
Venue
2006
10.1007/s10107-005-0603-6
Math. Program.
Keywords
Field
DocType
primal-dual nonlinear,order optimality condition,convex optimization,global convergence,lagrangian,numerical result,primal-dual,nonlinear rescaling,nonlinear problem,duality,dynamic scaling parameter update,general primal-dual nonlinear,multipliers method,non linear programming,multiplier,convex programming,mathematical programming,rate of convergence
Convergence (routing),Mathematical optimization,Nonlinear system,Nonlinear programming,Dynamic scaling,Multiplier (economics),Duality (optimization),Rate of convergence,Convex optimization,Mathematics
Journal
Volume
Issue
ISSN
106
2
1436-4646
Citations 
PageRank 
References 
23
1.07
17
Authors
2
Name
Order
Citations
PageRank
Igor Griva1445.13
Roman A. Polyak221152.70