Practical active-set Euclidian trust-region method with spectral projected gradients for bound-constrained minimization

被引:27
作者
Andretta, M
Birgin, EG
Martínez, JM
机构
[1] Univ Sao Paulo, Inst Math & Stat, Dept Comp Sci, BR-05508090 Sao Paulo, Brazil
[2] Univ Estadual Campinas, IMECC, Dept Appl Math, BR-13081970 Campinas, SP, Brazil
基金
巴西圣保罗研究基金会;
关键词
bound-constrained optimization; projected gradient; spectral gradient; trust regions;
D O I
10.1080/02331930500100270
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
A practical active-set method for bound-constrained minimization is introduced. Within the current face the classical Euclidian trust-region method is employed. Spectral projected gradient directions are used to abandon faces. Numerical results are presented.
引用
收藏
页码:305 / 325
页数:21
相关论文
共 22 条
[1]   Nonmonotone spectral projected gradient methods on convex sets [J].
Birgin, EG ;
Martínez, JM ;
Raydan, M .
SIAM JOURNAL ON OPTIMIZATION, 2000, 10 (04) :1196-1211
[2]   Inexact spectral projected gradient methods on convex sets [J].
Birgin, EG ;
Martínez, JM ;
Raydan, M .
IMA JOURNAL OF NUMERICAL ANALYSIS, 2003, 23 (04) :539-559
[3]   Large-scale active-set box-constrained optimization method with spectral projected gradients [J].
Birgin, EG ;
Martínez, JM .
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2002, 23 (01) :101-125
[4]   Algorithm 813:: SPG -: Software for convex-constrained optimization [J].
Birgin, EG ;
Martínez, JM ;
Raydan, M .
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2001, 27 (03) :340-349
[5]  
Birgin EG, 2001, COMPUTING S, V15, P49, DOI [10.1007/978-3-7091-6217-0_5, DOI 10.1007/978-3-7091-6217-0_5]
[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 limited-memory multipoint symmetric secant method for bound constrained optimization [J].
Burdakov, OP ;
Martínez, JM ;
Pilotta, EA .
ANNALS OF OPERATIONS RESEARCH, 2002, 117 (1-4) :51-70
[8]   An interior trust region approach for nonlinear minimization subject to bounds [J].
Coleman, TF ;
Li, YY .
SIAM JOURNAL ON OPTIMIZATION, 1996, 6 (02) :418-445
[9]   A GLOBALLY CONVERGENT AUGMENTED LAGRANGIAN ALGORITHM FOR OPTIMIZATION WITH GENERAL CONSTRAINTS AND SIMPLE BOUNDS [J].
CONN, AR ;
GOULD, NIM ;
TOINT, PL .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (02) :545-572
[10]  
DENNIS JE, 1996, APPL MATH PARALLEL C, P97