2 papers
math.OC2024
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…
math.OC2024
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…