New Characterization of Geodesic Convexity on Hadamard Manifolds with Applications-Reference-Cited by-同舟云学术

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New Characterization of Geodesic Convexity on Hadamard Manifolds with Applications

Published:2016-09-21 Issue:3 Volume:172 Page:824-844
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Zhou Li-wen,Xiao Yi-bin,Huang Nan-jing

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/s10957-016-1012-0.pdf

Reference31 articles.

1. Klingenberg, W.: A Course in Differential Geometry. Springer-Verlag, Berlin (1978)

2. Rapcsák, T.: Smooth Nonlinear Optimization in $$\mathbb{R}^n$$ R n . Kluwer Academic Publishers, Dordrecht (1997)

3. Udriste, C.: Convex Functions and Optimization Methods on Riemannian Manifolds. Mathematics and its Applications, vol. 297. Kluwer Academic Publishers, Dordrecht (1994)

4. Bazaraa, M.S., Shetty, C.M.: Nonlinear Programming-Theory and Algorithms. Wiley, New York (1979)

5. Rapcsák, T.: Geodesic convexity in nonlinear optimization. J. Optim. Theory Appl. 69, 169–183 (1991)

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