Title
A trust region method based on interior point techniques for nonlinear programming
Abstract
.   An algorithm for minimizing a nonlinear function subject to nonlinear inequality constraints is described. It applies sequential quadratic programming techniques to a sequence of barrier problems, and uses trust regions to ensure the robustness of the iteration and to allow the direct use of second order derivatives. This framework permits primal and primal-dual steps, but the paper focuses on the primal version of the new algorithm. An analysis of the convergence properties of this method is presented.
Year
DOI
Venue
2000
10.1007/PL00011391
Math. Program.
Keywords
Field
DocType
Key words: constrained optimization – interior point method – large-scale optimization – nonlinear programming – primal method – primal-dual method – SQP iteration – barrier method – trust region method Mathematics Subject Classification (1991): 20E28,20G40,20C20
Trust region,Mathematical optimization,Nonlinear programming,Robustness (computer science),Duality (optimization),Quadratic programming,Sequential quadratic programming,Interior point method,Mathematics,Constrained optimization
Journal
Volume
Issue
ISSN
89
1
0025-5610
Citations 
PageRank 
References 
232
30.78
4
Authors
3
Search Limit
100232
Name
Order
Citations
PageRank
Richard H. Byrd12234227.38
Jean Charles Gilbert251666.88
Jorge Nocedal33276301.50