4 citations · 13 across the 14 of their papers we have counts for
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math.NA2019★ 3 cited
Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds
Ronny Bergmann, Roland Herzog, Maurício Silva Louzeiro +2
This paper introduces a new notion of a Fenchel conjugate, which generalizes the classical Fenchel conjugation to functions defined on Riemannian manifolds. We investigate its prop…
math.OC2019
Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds
Orizon P. Ferreira, Maurício S. Louzeiro, Leandro F. Prudente
The steepest descent method for multiobjective optimization on Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. The aim of the paper is twofol…