Generalized KM theorems and their applications

被引：81

作者：

Yang, Qingzhi ^{[1
]}

Zhao, Jinling

机构：

[1] Nankai Univ, Sch Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

INVERSE PROBLEMS | 2006年 / 22卷 / 03期

关键词：

D O I：

10.1088/0266-5611/22/3/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some algorithms in signal and image processing may be formulated in the Krasnoselski-Mann ( KM) iteration form and the KM theorem asserts the convergence of this iteration under certain assumptions. We give more general iterative schemes which include the KM iteration as a special case and establish the convergence of extended iterations. Based on the generalized KM theorems, some algorithms with a broader scope are analysed and treated in new settings.

引用

页码：833 / 844

页数：12