The Identification of Convex Function on Riemannian Manifold | Zendy

Li Zou | Zendy; Xin Wen | Zendy; Hamid Reza Karimi | Zendy; Yan Shi | Zendy

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The Identification of Convex Function on Riemannian Manifold

Author(s) -

Li Zou,

Xin Wen,

Hamid Reza Karimi,

Yan Shi

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/273514

Subject(s) - mathematics , convex function , convex analysis , riemannian manifold , manifold (fluid mechanics) , pseudoconvex function , nonlinear programming , function (biology) , pure mathematics , subderivative , convex optimization , regular polygon , mathematical analysis , nonlinear system , geometry , engineering , physics , mechanical engineering , quantum mechanics , evolutionary biology , biology

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

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