Convergence Rate of Descent Method with New Inexact Line-Search on Riemannian Manifolds

Author:

Li Xiao-bo,Huang Nan-jing,Ansari Qamrul Hasan,Yao Jen-Chih

Funder

Young Scholars Development Fund of SWPU

National Natural Science Foundation of China

MOST

DST-SERB

Publisher

Springer Science and Business Media LLC

Subject

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

Reference34 articles.

1. Absil, P.A., Baker, C.G., Gallivan, K.A.: Trust-region methods on Riemannian manifolds. Found. Comput. Math. 7, 303–330 (2007)

2. Burago, D., Burago, Y., Ivanov, S.: A Course in Metric Geometry. Graduate Studies in Math., vol. 33. Amer. Math. Soc, Providence (2001)

3. Chavel, I.: Riemannian Geometry—A Modern Introduction. Cambridge University Press, London (1993)

4. da Cruz Neto, J.X., de Lima, L.L., Oliveira, P.R.: Geodesic algorithms in Riemannian geometry. Balkan J. Geom. Appl. 3(2), 89–100 (1998)

5. da Cruz Neto, J.X., Ferreira, O.P., Lucambio Perez, L.R.: A proximal regularization of the steepest descent method in Riemannian manifolds. Balkan J. Geom. Appl. 4(2), 1–8 (1999)

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