SEMICONVERGENCE AND RELAXATION PARAMETERS FOR PROJECTED SIRT ALGORITHMS

被引：46

作者：

Elfving, Tommy ^{[1
]}

Hansen, Per Christian ^{[2
]}

Nikazad, Touraj ^{[3
]}

机构：

[1] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden

[2] Tech Univ Denmark, Dept Informat & Math Modelling, DK-2800 Lyngby, Denmark

[3] Iran Univ Sci & Technol, Dept Math, Tehran 1684613114, Iran

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2012年 / 34卷 / 04期

关键词：

projected Landweber iteration; simultaneous iterative reconstruction technique; relaxation parameters; semiconvergence; nonnegativity constraints; tomographic imaging; LANDWEBER METHOD; ITERATION;

D O I：

10.1137/110834640

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a detailed study of the semiconvergence behavior of projected nonstationary simultaneous iterative reconstruction technique (SIRT) algorithms, including the projected Landweber algorithm. We also consider the use of a relaxation parameter strategy, proposed recently for the standard algorithms, for controlling the semiconvergence of the projected algorithms. We demonstrate the semiconvergence and the performance of our strategies by examples taken from tomographic imaging.

引用

页码：A2000 / A2017

页数：18

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