Fast optimization via inertial dynamics with closed-loop dam**
In a real Hilbert space H, in order to develop fast optimization methods, we analyze the
asymptotic behavior, as time t tends to infinity, of a large class of autonomous dissipative …
asymptotic behavior, as time t tends to infinity, of a large class of autonomous dissipative …
Convergence results of two-step inertial proximal point algorithm
This paper proposes a two-point inertial proximal point algorithm to find zero of maximal
monotone operators in Hilbert spaces. We obtain weak convergence results and non …
monotone operators in Hilbert spaces. We obtain weak convergence results and non …
Newton-like inertial dynamics and proximal algorithms governed by maximally monotone operators
The introduction of the Hessian dam** in the continuous version of Nesterov's accelerated
gradient method provides, by temporal discretization, fast proximal gradient algorithms …
gradient method provides, by temporal discretization, fast proximal gradient algorithms …
Two-step inertial Bregman alternating minimization algorithm for nonconvex and nonsmooth problems
In this paper, we propose an algorithm combining Bregman alternating minimization
algorithm with two-step inertial force for solving a minimization problem composed of two …
algorithm with two-step inertial force for solving a minimization problem composed of two …
Strongly convergent inertial proximal point algorithm without on-line rule
We present a strongly convergent Halpern-type proximal point algorithm with double inertial
effects to find a zero of a maximal monotone operator in Hilbert spaces. The strong …
effects to find a zero of a maximal monotone operator in Hilbert spaces. The strong …
Anderson acceleration of coordinate descent
Acceleration of first order methods is mainly obtained via inertia à la Nesterov, or via
nonlinear extrapolation. The latter has known a recent surge of interest, with successful …
nonlinear extrapolation. The latter has known a recent surge of interest, with successful …
[BOOK][B] The Krasnosel'skiĭ-Mann Iterative Method: Recent Progress and Applications
The Krasnosel'skiı–Mann (KM) iterative method has extensively been employed to find fixed
points of nonlinear map**s (in particular, nonexpansive map**s) and solve convex …
points of nonlinear map**s (in particular, nonexpansive map**s) and solve convex …
New accelerated splitting algorithm for monotone inclusion problems
Forward-reflected-backward splitting algorithm with inertial extrapolation of two inertial
effects to find a zero of the sum of a maximal monotone and a Lipschitz continuous …
effects to find a zero of the sum of a maximal monotone and a Lipschitz continuous …
Inertial methods for split common fixed point problems: application to binary classification in machine learning
The aim of this paper is to introduce a new two-step inertial method for approximating a
solution to a generalized split common fixed point problem, which is a unique solution to a …
solution to a generalized split common fixed point problem, which is a unique solution to a …
A new algorithm for approximating solutions of the common variational inclusion
NT Thu Thuy, T Thanh Tung, L Xuan Ly - Computational and Applied …, 2024 - Springer
This paper studies the common variational inclusion problem in real Hilbert spaces. To solve
this problem, we propose a new accelerated approach with two initial parameter steps and …
this problem, we propose a new accelerated approach with two initial parameter steps and …