An interior point algorithm for large-scale nonlinear programming

被引:1239
作者
Byrd, RH [1 ]
Hribar, ME
Nocedal, J
机构
[1] Univ Colorado, Dept Comp Sci, Boulder, CO 80309 USA
[2] Rice Univ, CAAM Dept, Houston, TX 77005 USA
[3] Northwestern Univ, ECE Dept, Evanston, IL 60208 USA
关键词
constrained optimization; interior point method; large-scale optimization; nonlinear programming; primal method; primal-dual method; sequential quadratic programming; barrier method; trust region method;
D O I
10.1137/S1052623497325107
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The design and implementation of a new algorithm for solving large nonlinear programming problems is described. It follows a barrier approach that employs sequential quadratic programming and trust regions to solve the subproblems occurring in the iteration. Both primal and primal-dual versions of the algorithm are developed, and their performance is illustrated in a set of numerical tests.
引用
收藏
页码:877 / 900
页数:24
相关论文
共 44 条
[1]  
[Anonymous], 1998, ADV NONLINEAR PROGRA
[2]  
[Anonymous], [No title captured]
[3]  
ANSTREICHER KM, 1994, OPTIMIZATION METHODS, V3, P273
[4]  
ARGAEZ M, 1997, TR9713 RIC U DEP COM
[5]  
BOGGS PT, 1996, ACTA NUMER, V4, P1
[6]   CUTE - CONSTRAINED AND UNCONSTRAINED TESTING ENVIRONMENT [J].
BONGARTZ, I ;
CONN, AR ;
GOULD, N ;
TOINT, PL .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1995, 21 (01) :123-160
[7]   A trust region interior point algorithm for linearly constrained optimization [J].
Bonnans, JF ;
Pola, C .
SIAM JOURNAL ON OPTIMIZATION, 1997, 7 (03) :717-731
[8]   A TRUST REGION ALGORITHM FOR NONLINEARLY CONSTRAINED OPTIMIZATION [J].
BYRD, RH ;
SCHNABEL, RB ;
SHULTZ, GA .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (05) :1152-1170
[9]  
BYRD RH, 1996, 9602 OTC NW U
[10]  
CELIS MR, 1985, P SIAM C NUM OPT BOU, P71