12 citations · 22 across the 5 of their papers we have counts for
7 papers
FISTA and Extensions -- Review and New Insights
Weiwei Kong, Jefferson G. Melo, Renato D. C. Monteiro
The purpose of this technical report is to review the main properties of an accelerated composite gradient (ACG) method commonly referred to as the Fast Iterative Shrinkage-Thresho…
Iteration-complexity of an inexact proximal accelerated augmented Lagrangian method for solving linearly constrained smooth nonconvex composite optimization problems
Jefferson G. Melo, Renato D. C. Monteiro, Hairong Wang
This paper proposes and establishes the iteration-complexity of an inexact proximal accelerated augmented Lagrangian (IPAAL) method for solving linearly constrained smooth nonconve…
Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms
M. Marques Alves, Jonathan Eckstein, Marina Geremia +1
This paper derives new inexact variants of the Douglas-Rachford splitting method for maximal monotone operators and the alternating direction method of multipliers (ADMM) for conve…
An efficient adaptive accelerated inexact proximal point method for solving linearly constrained nonconvex composite problems
Weiwei Kong, Jefferson G. Melo, Renato D. C. Monteiro
This paper proposes an efficient adaptive variant of a quadratic penalty accelerated inexact proximal point (QP-AIPP) method proposed earlier by the authors. Both the QP-AIPP metho…
Complexity of a quadratic penalty accelerated inexact proximal point method for solving linearly constrained nonconvex composite programs
Weiwei Kong, Jefferson G. Melo, Renato D. C. Monteiro
This paper analyzes the iteration-complexity of a quadratic penalty accelerated inexact proximal point method for solving linearly constrained nonconvex composite programs. More sp…
Iteration-complexity of a Jacobi-type non-Euclidean ADMM for multi-block linearly constrained nonconvex programs
Jefferson G. Melo, Renato D. C. Monteiro
This paper establishes the iteration-complexity of a Jacobi-type non-Euclidean proximal alternating direction method of multipliers (ADMM) for solving multi-block linearly constrai…