CONSIDERATIONS OF A PENALTY SHIFTING METHOD FOR NONLINEAR PROGRAMMING PROBLEMS.

被引:0
|
作者
Fujimoto, Hideo
Fujii, Seizo
机构
来源
Bulletin of the JSME | 1979年 / 22卷 / 164期
关键词
D O I
10.1299/jsme1958.22.182
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Two geometric interpretations for the penalty shifting method are given, so that its characteristics may be more clarified. First, the correction rules of two parameters and the relation between one of the parameters and the existence of a saddle point are investigated by the ordinary geometric interpretation. Secondly, the operation of the parameters is also investigated by a new geometric interpretation, and finally, the result for a nonconvex programming problem is illustrated by two geometric interpretations.
引用
收藏
页码:182 / 189
相关论文
共 50 条
  • [41] STUDY OF THE BOUNDARY ELEMENT METHOD APPLIED TO NONLINEAR PROBLEMS.
    Jin, Hao
    Chalmers Tekniska Hogskola, Doktorsavhandlingar, 1987, (605):
  • [42] ON SOLVING INTEGER PROGRAMMING PROBLEMS.
    Kabe, D.G.
    Industrial Mathematics, 1982, 32 (pt 2): : 103 - 123
  • [43] GOAL PROGRAMMING, METHOD OF WEIGHTED RESIDUALS, AND OPTIMAL CONTROL PROBLEMS.
    Ng, Kevin Y.K.
    IEEE Transactions on Systems, Man and Cybernetics, 1987, SMC-17 (01): : 102 - 106
  • [44] ASYMPTOTIC PERTURBATION METHOD FOR NONLINEAR OPTIMAL CONTROL PROBLEMS.
    Junkins, J.L.
    Thompson, R.C.
    1600, (09):
  • [45] A homotopy method based on penalty function for nonlinear semidefinite programming
    Yang, Li
    Yu, Bo
    Li, YanXi
    JOURNAL OF GLOBAL OPTIMIZATION, 2015, 63 (01) : 61 - 76
  • [46] A homotopy method based on penalty function for nonlinear semidefinite programming
    Li Yang
    Bo Yu
    YanXi Li
    Journal of Global Optimization, 2015, 63 : 61 - 76
  • [47] A line search exact penalty method for nonlinear semidefinite programming
    Qi Zhao
    Zhongwen Chen
    Computational Optimization and Applications, 2020, 75 : 467 - 491
  • [48] A Boolean Penalty method for zero-one nonlinear programming
    Mauricio, D
    Maculan, N
    JOURNAL OF GLOBAL OPTIMIZATION, 2000, 16 (04) : 343 - 354
  • [49] A Combined Penalty Function and Gradient Projection Method for Nonlinear Programming
    Luenberger, D. G.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1974, 14 (05) : 477 - 495
  • [50] Objective penalty function method for nonlinear programming with inequality constraints
    Yan, Zhuolin
    Jiang, Xiaowei
    Wang, Siyao
    AIMS MATHEMATICS, 2024, 9 (12): : 33572 - 33590