AN ACTIVE SET NEWTON ALGORITHM FOR LARGE-SCALE NONLINEAR PROGRAMS WITH BOX CONSTRAINTS

Citation
F. Facchinei et al., AN ACTIVE SET NEWTON ALGORITHM FOR LARGE-SCALE NONLINEAR PROGRAMS WITH BOX CONSTRAINTS, SIAM journal on optimization, 8(1), 1998, pp. 158-186
Citations number
38
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
10526234
Volume
8
Issue
1
Year of publication
1998
Pages
158 - 186
Database
ISI
SICI code
1052-6234(1998)8:1<158:AASNAF>2.0.ZU;2-7
Abstract
A new algorithm for large-scale nonlinear programs with box constraint s is introduced. The algorithm is based on an efficient identification technique of the active set at the solution and on a nonmonotone stab ilization technique. It possesses global and superlinear convergence p roperties under standard assumptions. A new technique for generating t est problems with known characteristics is also introduced. The implem entation of the method is described along with computational results f or large-scale problems.