A spectral updating for the method of moving asymptotes

被引:5
作者
Gomes-Ruggiero, Marcia A. [1 ]
Sachine, Mael [1 ]
Santos, Sandra A. [1 ]
机构
[1] DMA IMECC UNICAMP, BR-13081970 Campinas, SP, Brazil
关键词
constrained optimization; method of moving asymptotes; spectral parameter; large scale problems; global convergence; PROJECTED GRADIENT METHODS; MINIMIZATION; BARZILAI;
D O I
10.1080/10556780902906282
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A modified version of the method of moving asymptotes is proposed based on the spectral parameter used in the updating of a key parameter of the model. The second-order information present in the spectral parameter is thus included in the model functions that define the rational approximations. Numerical experiments indicate that the idea is promising in the sense that the cost-benefit of computing the spectral parameter is worth it for reducing the total effort of the algorithm when compared with the original version.
引用
收藏
页码:883 / 893
页数:11
相关论文
共 19 条
[1]   2-POINT STEP SIZE GRADIENT METHODS [J].
BARZILAI, J ;
BORWEIN, JM .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1988, 8 (01) :141-148
[2]   Nonmonotone spectral projected gradient methods on convex sets [J].
Birgin, EG ;
Martínez, JM ;
Raydan, M .
SIAM JOURNAL ON OPTIMIZATION, 2000, 10 (04) :1196-1211
[3]   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
[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]   EXTENDED METHOD OF MOVING ASYMPTOTES BASED ON 2ND-ORDER INFORMATION [J].
BLETZINGER, KU .
STRUCTURAL OPTIMIZATION, 1993, 5 (03) :175-183
[6]   A family of MMA approximations for structural optimization [J].
Bruyneel, M ;
Duysinx, P ;
Fleury, C .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2002, 24 (04) :263-276
[7]   STRUCTURAL OPTIMIZATION - A NEW DUAL METHOD USING MIXED VARIABLES [J].
FLEURY, C ;
BRAIBANT, V .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1986, 23 (03) :409-428
[8]   SPECTRAL PROJECTED GRADIENT METHOD WITH INEXACT RESTORATION FOR MINIMIZATION WITH NONCONVEX CONSTRAINTS [J].
Gomes-Ruggiero, M. A. ;
Martinez, J. M. ;
Santos, S. A. .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2009, 31 (03) :1628-1652
[9]   A globally convergent method of moving asymptotes with trust region technique [J].
Ni, Q .
OPTIMIZATION METHODS & SOFTWARE, 2003, 18 (03) :283-297
[10]   The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem [J].
Raydan, M .
SIAM JOURNAL ON OPTIMIZATION, 1997, 7 (01) :26-33