A Simple Alternating Direction Method for the Conic Trust Region Subproblem
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A simple alternating direction method is used to solve the conic trust region subproblem of unconstrained optimization.
By use of the new method, the subproblem is solved by two steps in a descent direction and its orthogonal direction, the original conic trust domain subproblem into a one-dimensional subproblem and a low-dimensional quadratic model subproblem, both of which are very easy to solve.
Then the global convergence of the method under some reasonable conditions is established.
Numerical experiment shows that the new method seems simple and effective.
American Psychological Association (APA)
Zhu, Honglan& Ni, Qin. 2018. A Simple Alternating Direction Method for the Conic Trust Region Subproblem. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207927
Modern Language Association (MLA)
Zhu, Honglan& Ni, Qin. A Simple Alternating Direction Method for the Conic Trust Region Subproblem. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1207927
American Medical Association (AMA)
Zhu, Honglan& Ni, Qin. A Simple Alternating Direction Method for the Conic Trust Region Subproblem. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207927
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207927