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

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In this paper, we propose the descent method with new inexact line-search for unconstrained optimization problems on Riemannian manifolds. The global convergence of the proposed method is established under some… Click to show full abstract

In this paper, we propose the descent method with new inexact line-search for unconstrained optimization problems on Riemannian manifolds. The global convergence of the proposed method is established under some appropriate assumptions. We further analyze some convergence rates, namely R-linear convergence rate, superlinear convergence rate and quadratic convergence rate, of the proposed descent method.

Keywords: method new; convergence rate; descent method; convergence

Journal Title: Journal of Optimization Theory and Applications
Year Published: 2019

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