24 citations · 125 across the 17 of their papers we have counts for
20 papers
A strongly convergent inertial inexact proximal-point algorithm for monotone inclusions with applications to variational inequalities
M. Marques Alves, J. E. Navarro Caballero, M. Geremia +1
We propose an inertial variant of the strongly convergent inexact proximal-point (PP) method of Solodov and Svaiter (2000) for monotone inclusions. We prove strong convergence of o…
A search-free homotopy inexact proximal-Newton extragradient algorithm for monotone variational inequalities
M. Marques Alves, João M. Pereira, Benar F. Svaiter
We present and study the iteration-complexity of a relative-error inexact proximal-Newton extragradient algorithm for solving smooth monotone variational inequality problems in rea…
Projective splitting with backward, half-forward and proximal-Newton steps
M. Marques Alves
We propose and study the weak convergence of a projective splitting algorithm for solving multi-term composite monotone inclusion problems involving the finite sum of maximal m…
Variants of the A-HPE and large-step A-HPE algorithms for strongly convex problems with applications to accelerated high-order tensor methods
M. Marques Alves
For solving strongly convex optimization problems, we propose and study the global convergence of variants of the A-HPE and large-step A-HPE algorithms of Monteiro and Svaiter. We…
On level set type methods for elliptic Cauchy problems
A. Leitao, M. Marques Alves
Two methods of level set type are proposed for solving the Cauchy problem for an elliptic equation. Convergence and stability results for both methods are proven, characterizing th…
On the identification of piecewise constant coefficients in optical diffusion tomography by level set
J. P. Agnelli, A. De Cezaro, A. Leitao +1
In this paper, we propose a level set regularization approach combined with a split strategy for the simultaneous identification of piecewise constant diffusion and absorption coef…