An algorithm for approximation by elements of a cone in a banach space
作者:
R. W. Owens,
V. P. Sreedharan,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1989)
卷期:
Volume 10,
issue 11-12
页码: 1161-1189
ISSN:0163-0563
年代: 1989
DOI:10.1080/01630568908816351
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
Given a closed convex cone of approximants in a strictly convex reflexive Banach space we give an implementable, iterative algorithm for finding the best approximation for a point outside this cone. First the necessary duality theorems are proved and then the characterizations of the best approximations are given. Convergence of the algorithm is then proved. Some numerical results are also included.
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