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arxiv: 1808.06274 · v1 · submitted 2018-08-20 · 🧮 math.OC

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Iteration-Complexity of the Subgradient Method on Riemannian Manifolds with Lower Bounded Curvature

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keywords methodsubgradientboundedcurvatureiteration-complexitylowermanifoldsriemannian
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The subgradient method for convex optimization problems on complete Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. Iteration-complexity bounds of the subgradient method with exogenous step-size and Polyak's step-size are stablished, completing and improving recent results on the subject.

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