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. Our objective here is to extend the content and proof the necessary and sufficient condition of convex function to Riemannian manifolds.
CITATION STYLE
Cui, X., Wen, X., Zhang, Y., Zou, L., & Xu, Y. (2014). The identification of convex function on riemannian manifold. In Advances in Intelligent Systems and Computing (Vol. 279, pp. 899–908). Springer Verlag. https://doi.org/10.1007/978-3-642-54927-4_86
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