Title
Line Search Procedures for the Logarithmic Barrier Function
Abstract
Barrier methods for constrained optimization, widely applied in the 1960s and 1970s, have recently enjoyed a revival of popularity. A line search with respect to a logarithmic barrier function or related potential function is often part of modern interior methods. Standard line search procedures tend to be inefficient in this context for two reasons: an inappropriate choice of initial trial step if any constraints are nonlinear, and poor approximation of the barrier function by low-order polynomial interpolants. This paper discusses line search strategies specifically designed for the logarithmic barrier function.
Year
DOI
Venue
1994
10.1137/0804013
SIAM JOURNAL ON OPTIMIZATION
Keywords
Field
DocType
BARRIER FUNCTION,LINE SEARCH,INTERIOR METHODS
Mathematical optimization,Nonlinear system,Polynomial,Line search,Barrier function,Logarithm,Mathematics,Constrained optimization
Journal
Volume
Issue
ISSN
4
2
1052-6234
Citations 
PageRank 
References 
15
3.14
2
Authors
2
Name
Order
Citations
PageRank
Walter Murray1456263.71
Margaret H. Wright21233182.31