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

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,...

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Vydáno v:Mathematical methods in the applied sciences Ročník 42; číslo 18; s. 7268 - 7284
Hlavní autoři: Suparatulatorn, Raweerote, Charoensawan, Phakdi, Poochinapan, Kanyuta
Médium: Journal Article
Jazyk:angličtina
Vydáno: Freiburg Wiley Subscription Services, Inc 01.12.2019
Témata:
Adaptive algorithms
Algorithms
Convergence
demicontractive operator
Image restoration
image restoration problem
inertial algorithm
Linear operators
self‐adaptive algorithm
ISSN:0170-4214, 1099-1476
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5836