Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration

Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration

© 2019 John Wiley & Sons, Ltd. We introduce a new self-adaptive algorithm for applications to image restoration problems. In order to study an image restoration, we consider the algorithm that contains inertial effects and step sizes, which is independent from the norm of the bounded linear op...

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Main Authors: Raweerote Suparatulatorn, Phakdi Charoensawan, Kanyuta Poochinapan
Format: Journal
Published: 2019
Subjects:
Engineering
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85070921493&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/66666
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-666662019-09-16T12:55:47Z Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration Raweerote Suparatulatorn Phakdi Charoensawan Kanyuta Poochinapan Engineering Mathematics © 2019 John Wiley & Sons, Ltd. We introduce a new self-adaptive algorithm for applications to image restoration problems. In order to study an image restoration, we consider the algorithm that contains inertial effects and step sizes, which is independent from the norm of the bounded linear operator. With some control conditions, the strong convergence to the minimum norm solution of the algorithm is obtained. Convergence analysis of the proposed algorithm is also discussed. Moreover, numerical results of image restoration problems illustrate that the proposed algorithm is efficient and outperforms other ones. 2019-09-16T12:52:34Z 2019-09-16T12:52:34Z 2019-01-01 Journal 10991476 01704214 2-s2.0-85070921493 10.1002/mma.5836 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85070921493&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/66666
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Engineering
Mathematics
spellingShingle Engineering
Mathematics
Raweerote Suparatulatorn
Phakdi Charoensawan
Kanyuta Poochinapan
Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration
description © 2019 John Wiley & Sons, Ltd. We introduce a new self-adaptive algorithm for applications to image restoration problems. In order to study an image restoration, we consider the algorithm that contains inertial effects and step sizes, which is independent from the norm of the bounded linear operator. With some control conditions, the strong convergence to the minimum norm solution of the algorithm is obtained. Convergence analysis of the proposed algorithm is also discussed. Moreover, numerical results of image restoration problems illustrate that the proposed algorithm is efficient and outperforms other ones.
format Journal
author Raweerote Suparatulatorn
Phakdi Charoensawan
Kanyuta Poochinapan
author_facet Raweerote Suparatulatorn
Phakdi Charoensawan
Kanyuta Poochinapan
author_sort Raweerote Suparatulatorn
title Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration
title_short Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration
title_full Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration
title_fullStr Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration
title_full_unstemmed Inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration
title_sort inertial self-adaptive algorithm for solving split feasible problems with applications to image restoration
publishDate 2019
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85070921493&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/66666
_version_ 1681426497726840832

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