First Order Methods for Optimization on Riemannian Manifolds

Orizon P. Ferreira (), Maurício S. Louzeiro () and Leandro F. Prudente ()
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Orizon P. Ferreira: Institute of Mathematics Statistics, Universidade Federal de Goiás
Maurício S. Louzeiro: Fakultät für Mathematik, TU Chemnitz
Leandro F. Prudente: Institute of Mathematics Statistics, Universidade Federal de Goiás

Chapter Chapter 18 in Handbook of Variational Methods for Nonlinear Geometric Data, 2020, pp 499-525 from Springer

Abstract: Abstract This chapter considers optimization problems on Riemannian manifolds and presents asymptotic and iteration-complexity analysis for gradient and subgradient methods on manifolds with sectional curvatures bounded from below. It also establishes asymptotic and iteration-complexity analysis for the proximal point method on Hadamard manifolds.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-31351-7_18

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DOI: 10.1007/978-3-030-31351-7_18

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