数学季刊 ›› 1999, Vol. 14 ›› Issue (1): 102-110.

• • 上一篇    

梯度投影类的统一算法

  

  • 收稿日期:1995-10-11 出版日期:1999-03-30 发布日期:2024-10-12
  • 基金资助:
    Project supported by Natural Science Foundation of Henan Province.

A Probe Method of Gradient Projection Type

  1. Zhengzhou Institute of Surveying and Mapping,Zhengzhou,450052; Kaifeng University,Kaifeng,475004

  • Received:1995-10-11 Online:1999-03-30 Published:2024-10-12
  • Supported by:
    Project supported by Natural Science Foundation of Henan Province.

摘要: In this paper,a probe method for nonlinear programming wiht equality and inequality is given. Its iterative directions at an arbitrary point x can be obtained through solving a liear system. The terminate conditions and choices of the parameters are given. The global convergence of the method is proved. Further more,some well known gradient projection type algorithms [1-15] and new gradient projection type algorithms from the linear system are given in this paper. 

关键词:  , linear system, gradient projection, probe method, global convergence

Abstract: In this paper,a probe method for nonlinear programming wiht equality and inequality is given. Its iterative directions at an arbitrary point x can be obtained through solving a liear system. The terminate conditions and choices of the parameters are given. The global convergence of the method is proved. Further more,some well known gradient projection type algorithms [1-15] and new gradient projection type algorithms from the linear system are given in this paper. 

Key words:  , linear system, gradient projection, probe method, global convergence

中图分类号: