FINITE TERMINATION OF THE PROXIMAL POINT ALGORITHM

被引:102
作者
FERRIS, MC
机构
[1] Computer Sciences Department, University of Wisconsin, Madison, 53706, WI
关键词
SHARP MINIMA; PROXIMAL POINT; FINITE TERMINATION;
D O I
10.1007/BF01594944
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper concerns the notion of a sharp minimum on a set and its relationship to the proximal point algorithm. We give several equivalent definitions of the property and use the notion to prove finite termination of the proximal point algorithm.
引用
收藏
页码:359 / 366
页数:8
相关论文
共 12 条
[1]  
Bertsekas D.P., 1989, PARALLEL DISTRIBUTED
[2]  
Brezis H, 1973, LECT NOTES MATH, V5
[3]  
BURKE JV, 1991, UNPUB SHARPNESS FUNC
[4]  
DELEONE R, 1988, OPTIMIZATION PARALLE, V304, P103
[5]   VARIATIONAL PRINCIPLE [J].
EKELAND, I .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 47 (02) :324-353
[6]  
Ferris M.C., 1988, 779 U WISC COMP SCI
[7]  
MANGASARIAN OL, 1984, MATH PROGRAM STUD, V22, P206, DOI 10.1007/BFb0121017
[8]   ERROR-BOUNDS FOR NONDEGENERATE MONOTONE LINEAR COMPLEMENTARITY-PROBLEMS [J].
MANGASARIAN, OL .
MATHEMATICAL PROGRAMMING, 1990, 48 (03) :437-445
[9]  
MOREAU J., 1965, B LLETIN SOCI T MATH, V93, P273, DOI 10.24033/bsmf.1625
[10]  
POLYAK B. T., 1972, EKON MATEM MET, V8, P740