STRONG-CONVERGENCE OF ALMOST SIMULTANEOUS BLOCK-ITERATIVE PROJECTION METHODS IN HILBERT-SPACES

被引:19
作者
BUTNARIU, D [1 ]
CENSOR, Y [1 ]
机构
[1] UNIV HAIFA, DEPT MATH & COMP SCI, IL-31905 HAIFA, ISRAEL
基金
美国国家卫生研究院;
关键词
CONVEX FEASIBILITY PROBLEM; BLOCK-ITERATIVE PROJECTION METHOD; STRONG CONVERGENCE; WEAK CONVERGENCE; UNIFORMLY CONVEX SET; BOUNDEDLY COMPACT SET;
D O I
10.1016/0377-0427(92)00123-Q
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove strong convergence of a class of block-iterative projection methods for finding a common point of a finite family of closed convex subsets in a Hilbert space.
引用
收藏
页码:33 / 42
页数:10
相关论文
共 19 条
[1]   BLOCK-ITERATIVE PROJECTION METHODS FOR PARALLEL COMPUTATION OF SOLUTIONS TO CONVEX FEASIBILITY PROBLEMS [J].
AHARONI, R ;
CENSOR, Y .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 120 :165-180
[2]  
BACHMAN G, 1966, FUNCTONAL ANAL
[3]  
Bregman L M, 1967, USSR COMP MATH MATH, V7, P200, DOI DOI 10.1016/0041-5553(67)90040-7
[4]   ON THE BEHAVIOR OF A BLOCK-ITERATIVE PROJECTION METHOD FOR SOLVING CONVEX FEASIBILITY PROBLEMS [J].
BUTNARIU, D ;
CENSOR, Y .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1990, 34 (1-2) :79-94
[5]  
BUTNARIU D, 1992, J COMPUT OPTIM APPL, V1, P307
[6]  
CENSOR Y, 1991, LECT NOTES MATH, V1497, P133
[7]   METHOD OF SUCCESSIVE PROJECTIONS FOR FINDING A COMMON POINT OF SETS IN METRIC-SPACES [J].
COMBETTES, PL ;
TRUSSELL, HJ .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 67 (03) :487-507
[8]  
DEPIERRO AR, 1985, PESQUISA OPERACIONAL, V5, P1
[9]   RELAXED OUTER PROJECTIONS, WEIGHTED AVERAGES AND CONVEX FEASIBILITY [J].
FLAM, SD ;
ZOWE, J .
BIT, 1990, 30 (02) :289-300
[10]  
GUBIN LG, 1966, USSR COMP MATH MATH, V7, P1