5 papers
Ball-proximal point method on a Hadamard Manifolds
F. Babu, O. P. Ferreira, L. F. Prudente +2
We consider the problem of minimizing a proper, lower semicontinuous, geodesically convex function on a Hadamard manifold. Building on ball-proximal (broximal) ideas in the Euclide…
A subdifferential characterization via Busemann functions and applications to DC optimization on Hadamard manifolds
O. P. Ferreira, D. S. Gonçalves, M. S. Louzeiro +2
This paper investigates the properties of Busemann functions on Hadamard manifolds and their use in optimization algorithms in Riemannian settings. We present a new Busemann-based…
Frank--Wolfe algorithms for piecewise star-convex functions with a nonsmooth difference-of-convex structure
R. DÃaz Millán, O. P. Ferreira, J. Ugon
In the present paper, we formulate two versions of Frank--Wolfe algorithm or conditional gradient method to solve the DC optimization problem with an adaptive step size. The DC obj…
A Busemann hybrid projection-proximal point algorithm for optimization problems on Hadamard manifolds
R. DÃaz Millán, O. P. Ferreira, M. S. Louzeiro +1
We study optimization problems on Hadamard manifolds, motivated by recent advances in geometric approaches to optimization on curved spaces, particularly those involving the struct…
Broyden quasi-Newton secant-type method for solving constrained mixed generalized equations
P. C. da Silva Junior, O. P. Ferreira, G. N. Silva
This paper presents a novel variant of the Broyden quasi-Newton secant-type method aimed at solving constrained mixed generalized equations, which can include functions that are no…