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20212026
most citedA Globally Convergent Distributed Jacobi Scheme for Block-Structured Nonconvex Constrained Optimization Problems

1 citations · 1 across the 8 of their papers we have counts for

collaborators

10 papers

math.OC2026

CCOpt: an Open-Source Solver for Large-Scale Mathematical Programs with Complementarity Constraints

Anton Pozharskiy, François Pacaud, Moritz Diehl +1

This paper presents the Julia package CCOpt, built on top of the interior-point solver MadNLP. CCOpt implements a suite of algorithms for Mathematical Programs with Complementarity…

math.OC2025

An Augmented Lagrangian Method on GPU for Security-Constrained AC Optimal Power Flow

François Pacaud, Armin Nurkanović, Anton Pozharskiy +2

We present a new algorithm for solving large-scale security-constrained optimal power flow in polar form (AC-SCOPF). The method builds on Nonlinearly Constrained augmented Lagrangi…

math.OC2025

MadNCL: A GPU Implementation of Algorithm NCL for Large-Scale, Degenerate Nonlinear Programs

Alexis Montoison, François Pacaud, Michael Saunders +2

We present a GPU implementation of Algorithm NCL, an augmented Lagrangian method for solving large-scale and degenerate nonlinear programs. Although interior-point methods and sequ…

eess.SY2025

ExaModelsPower.jl: A GPU-Compatible Modeling Library for Nonlinear Power System Optimization

Sanjay Johnson, Dirk Lauinger, Sungho Shin +1

As GPU-accelerated mathematical programming techniques mature, there is growing interest in utilizing them to address the computational challenges of power system optimization. Thi…

math.OC2025

GPU Implementation of Second-Order Linear and Nonlinear Programming Solvers

Alexis Montoison, François Pacaud, Sungho Shin +1

In recent years, GPU-accelerated optimization solvers based on second-order methods (e.g., interior-point methods) have gained momentum with the advent of mature and efficient GPU-…

math.OC2025

Sensitivity analysis for parametric nonlinear programming: A tutorial

François Pacaud

This tutorial provides an overview of the current state-of-the-art in the sensitivity analysis for nonlinear programming. Building upon the fundamental work of Fiacco, it derives t…

math.OC2025

Recovering sparse DFT from missing signals via interior point method on GPU

Wei Kuang, Alexis Montoison, Vishwas Rao +2

We propose a method to recover the sparse discrete Fourier transform (DFT) of a signal that is both noisy and potentially incomplete, with missing values. The problem is formulated…

math.OC2022

Condensed interior-point methods: porting reduced-space approaches on GPU hardware

François Pacaud, Sungho Shin, Michel Schanen +2

The interior-point method (IPM) has become the workhorse method for nonlinear programming. The performance of IPM is directly related to the linear solver employed to factorize the…

math.OC2021★ 1 cited

A Globally Convergent Distributed Jacobi Scheme for Block-Structured Nonconvex Constrained Optimization Problems

Anirudh Subramanyam, Youngdae Kim, Michel Schanen +2

Motivated by the increasing availability of high-performance parallel computing, we design a distributed parallel algorithm for linearly-coupled block-structured nonconvex constrai…

math.OC2021

Decentralized Multistage Optimization of Large-Scale Microgrids under Stochasticity

François Pacaud, Michel de Lara, Jean-Philippe Chancelier +1

Microgrids are recognized as a relevant tool to absorb decentralized renewable energies in the energy mix. However, the sequential handling of multiple stochastic productions and d…