On the computation of the step-size for the CQ-like algorithms for the split feasibility problem

In the CQ-like algorithms for the split feasibility problem, in order to get the step-size, one has to compute the largest eigenvalue of the related matrix or use some line search scheme. Our contribution in this short note is to give a simple CQ-like algorithm in which the step-size is directly com...

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Vydané v:Applied mathematics and computation Ročník 262; s. 218 - 223
Hlavní autori: Qu, Biao, Liu, Binghua, Zheng, Na
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Inc 01.07.2015
Predmet:
CQ-like algorithms
Step-size
The split feasibility problem
The split feasibility problem
CQ-like algorithms
Step-size
ISSN:0096-3003, 1873-5649
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Shrnutí:In the CQ-like algorithms for the split feasibility problem, in order to get the step-size, one has to compute the largest eigenvalue of the related matrix or use some line search scheme. Our contribution in this short note is to give a simple CQ-like algorithm in which the step-size is directly computed. The algorithm presented in this paper not only need not to compute the largest eigenvalue of the related matrix but also need not to use any line search scheme. The theoretical convergence and numerical results are also given.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.04.056