Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds |
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| Affiliation: | 1. Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India;2. Center for General Education, China Medical University, Taichung, 40402, Taiwan;3. Academy of Romanian Scientists, 50044 Bucharest, Romania |
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| Abstract: | In this paper, we consider convex composite optimization problems on Riemannian manifolds, and discuss the semi-local convergence of the Gauss-Newton method with quasi-regular initial point and under the majorant condition. As special cases, we also discuss the convergence of the sequence generated by the Gauss-Newton method under Lipschitz-type condition, or under γ-condition. |
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| Keywords: | Convex composite optimization problems Gauss-Newton's method Majorant condition Semilocal convergence Riemannian manifolds |
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