Relaxed Variable Metric Primal-Dual Fixed-Point Algorithm with Applications

Autor:	Wenli Huang, Yuchao Tang, Meng Wen, Haiyang Li
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	primal-dual variable metric proximity operator total variation Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 22, p 4372 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10224372
Popis:	In this paper, a relaxed variable metric primal-dual fixed-point algorithm is proposed for solving the convex optimization problem involving the sum of two convex functions where one is differentiable with the Lipschitz continuous gradient while the other is composed of a linear operator. Based on the preconditioned forward–backward splitting algorithm, the convergence of the proposed algorithm is proved. At the same time, we show that some existing algorithms are special cases of the proposed algorithm. Furthermore, the ergodic convergence and linear convergence rates of the proposed algorithm are established under relaxed parameters. Numerical experiments on the image deblurring problems demonstrate that the proposed algorithm outperforms some existing algorithms in terms of the number of iterations.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9ffe3a61c53042a694c70248fd11b4c6 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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