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

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  • Qu, Biao
  • Liu, Binghua
  • Zheng, Na

Abstract

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.

Suggested Citation

  • Qu, Biao & Liu, Binghua & Zheng, Na, 2015. "On the computation of the step-size for the CQ-like algorithms for the split feasibility problem," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 218-223.
    • Handle: RePEc:eee:apmaco:v:262:y:2015:i:c:p:218-223
    DOI: 10.1016/j.amc.2015.04.056
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    References listed on IDEAS

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    1. Charles L. Byrne and Abdellatif Moudafi, 2013. "Extensions of the CQ Algorithm for the Split Feasibility and Split Equality Problems," Documents de Travail 2013-01, CEREGMIA, Université des Antilles et de la Guyane.
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    Cited by:

    1. Biao Qu & Changyu Wang & Naihua Xiu, 2017. "Analysis on Newton projection method for the split feasibility problem," Computational Optimization and Applications, Springer, vol. 67(1), pages 175-199, May.

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