The Split Feasibility Problem and Its Solution Algorithm
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The split feasibility problem arises in many fields in the real world, such as signal processing, image reconstruction, and medical care.
In this paper, we present a solution algorithm called memory gradient projection method for solving the split feasibility problem, which employs a parameter and two previous iterations to get the next iteration, and its step size can be calculated directly.
It not only improves the flexibility of the algorithm, but also avoids computing the largest eigenvalue of the related matrix or estimating the Lipschitz constant in each iteration.
Theoretical convergence results are established under some suitable conditions.
American Psychological Association (APA)
Qu, Biao& Liu, Binghua. 2018. The Split Feasibility Problem and Its Solution Algorithm. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1207292
Modern Language Association (MLA)
Qu, Biao& Liu, Binghua. The Split Feasibility Problem and Its Solution Algorithm. Mathematical Problems in Engineering No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1207292
American Medical Association (AMA)
Qu, Biao& Liu, Binghua. The Split Feasibility Problem and Its Solution Algorithm. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1207292
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207292