The Identification of Convex Function on Riemannian Manifold
Joint Authors
Wen, Xin
Shi, Yan
Zou, Li
Karimi, Hamid Reza
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-07
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The necessary and sufficient condition of convex function is significant in nonlinear convex programming.
This paper presents the identification of convex function on Riemannian manifold by use of Penot generalized directional derivative and the Clarke generalized gradient.
This paper also presents a method for judging whether a point is the global minimum point in the inequality constraints.
Our objective here is to extend the content and proof the necessary and sufficient condition of convex function to Riemannian manifolds.
American Psychological Association (APA)
Zou, Li& Wen, Xin& Karimi, Hamid Reza& Shi, Yan. 2014. The Identification of Convex Function on Riemannian Manifold. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-459381
Modern Language Association (MLA)
Zou, Li…[et al.]. The Identification of Convex Function on Riemannian Manifold. Mathematical Problems in Engineering No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-459381
American Medical Association (AMA)
Zou, Li& Wen, Xin& Karimi, Hamid Reza& Shi, Yan. The Identification of Convex Function on Riemannian Manifold. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-459381
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459381