The method of cyclic projections for closed convex sets in a Hilbert space under the presence of computational errors

被引：0

作者：

Zaslavski, Alexander J. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

NUMERICAL ALGORITHMS | 2022年 / 91卷 / 03期

关键词：

Hilbert space; Inexact product; Infinite product; Nonexpansive mapping; Projection; FEASIBILITY;

D O I：

10.1007/s11075-022-01308-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the method of cyclic projections for inconsistent convex feasibility problems in a Hilbert space under the presence of computational errors. We show that our algorithm generates a good approximate solution, if computational errors are bounded from above by a small positive constant. Our main goal is, for a known computational error, to find out what approximate solution can be obtained and how many iterates one needs for this.

引用

页码：1427 / 1439

页数：13

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