35 citations · 108 across the 23 of their papers we have counts for
26 papers
An adaptive superfast inexact proximal augmented Lagrangian method for smooth nonconvex composite optimization problems
Arnesh Sujanani, Renato D. C. Monteiro
This work presents an adaptive superfast proximal augmented Lagrangian (AS-PAL) method for solving linearly-constrained smooth nonconvex composite optimization problems. Each itera…
An Accelerated Inexact Dampened Augmented Lagrangian Method for Linearly-Constrained Nonconvex Composite Optimization Problems
Weiwei Kong, Renato D. C. Monteiro
This paper proposes and analyzes an accelerated inexact dampened augmented Lagrangian (AIDAL) method for solving linearly-constrained nonconvex composite optimization problems. Eac…
A unified analysis of a class of proximal bundle methods for solving hybrid convex composite optimization problems
Jiaming Liang, Renato D. C. Monteiro
This paper presents a proximal bundle (PB) framework based on a generic bundle update scheme for solving the hybrid convex composite optimization (HCCO) problem and establishes a c…
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…
Average Curvature FISTA for Nonconvex Smooth Composite Optimization Problems
Jiaming Liang, Renato D. C. Monteiro
A previous authors' paper introduces an accelerated composite gradient (ACG) variant, namely AC-ACG, for solving nonconvex smooth composite optimization (N-SCO) problems. In contra…
Iteration-complexity of a proximal augmented Lagrangian method for solving nonconvex composite optimization problems with nonlinear convex constraints
Weiwei Kong, Jefferson G. Melo, Renato D. C. Monteiro
This paper proposes and analyzes a proximal augmented Lagrangian (NL-IAPIAL) method for solving smooth nonconvex composite optimization problems with nonlinear -convex cons…