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An improved first-order primal-dual algorithm with a new correction step

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Abstract

In this paper, we propose a new correction strategy for some first-order primal-dual algorithms arising from solving, e.g., total variation image restoration. With this strategy, we can prove the convergence of the algorithm under more flexible conditions than those proposed most recently. Some preliminary numerical results of image deblurring support that the new correction strategy can improve the numerical efficiency.

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Authors and Affiliations

  1. Mathematical department, Nanjing university, Nanjing, 210023, P. R. China

    Xingju Cai

  2. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, P. R. China

    Xingju Cai, Deren Han & Lingling Xu

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  1. Xingju Cai
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  2. Deren Han
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  3. Lingling Xu
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Correspondence to Deren Han.

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Cai, X., Han, D. & Xu, L. An improved first-order primal-dual algorithm with a new correction step. J Glob Optim 57, 1419–1428 (2013). https://doi.org/10.1007/s10898-012-9999-8

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  • DOI: https://doi.org/10.1007/s10898-012-9999-8

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