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math.OC2025

A User Manual for cuHALLaR: A GPU Accelerated Low-Rank Semidefinite Programming Solver

Jacob Aguirre, Diego Cifuentes, Vincent Guigues +3

We present a Julia-based interface to the precompiled HALLaR and cuHALLaR binaries for large-scale semidefinite programs (SDPs). Both solvers are established as fast and numericall…

math.OC2025

cuHALLaR: A GPU Accelerated Low-Rank Augmented Lagrangian Method for Large-Scale Semidefinite Programming

Jacob M. Aguirre, Diego Cifuentes, Vincent Guigues +3

This paper introduces cuHALLaR, a GPU-accelerated implementation of the HALLaR method proposed in Monteiro et al. 2024 for solving large-scale semidefinite programming (SDP) proble…

math.OC2024

Efficient parameter-free restarted accelerated gradient methods for convex and strongly convex optimization

Arnesh Sujanani, Renato D. C. Monteiro

This paper develops a new parameter-free restarted method, namely RPF-SFISTA, and a new parameter-free aggressive regularization method, namely A-REG, for solving strongly convex a…

math.OC2024

Complexity and numerical experiments of a new adaptive generic proximal bundle method

Vincent Guigues, Renato Monteiro, Benoit Tran

This paper develops an adaptive generic proximal bundle method, shows its complexity, and presents numerical experiments comparing this method with two bundle methods on a set of o…

math.OC2024

A low-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex-nonconvex approach

Renato D. C. Monteiro, Arnesh Sujanani, Diego Cifuentes

This paper introduces HALLaR, a new first-order method for solving large-scale semidefinite programs (SDPs) with bounded domain. HALLaR is an inexact augmented Lagrangian (AL) meth…