CALIPSO: A differentiable solver for trajectory optimization with conic and complementarity constraints

TA Howell, K Tracy, S Le Cleac'h… - … Symposium of Robotics …, 2022 - Springer
We present a new solver for non-convex trajectory optimization problems that is specialized
for robotics applications. CALIPSO, or the Conic Augmented Lagrangian Interior-Point …

On the behavior of Lagrange multipliers in convex and nonconvex infeasible interior point methods

G Haeser, O Hinder, Y Ye - Mathematical Programming, 2021 - Springer
We analyze sequences generated by interior point methods (IPMs) in convex and
nonconvex settings. We prove that moving the primal feasibility at the same rate as the …

Optimal rate allocation for production and injection wells in an oil and gas field for enhanced profitability

EI Epelle, DI Gerogiorgis - AIChE Journal, 2019 - Wiley Online Library
An oil and gas field requires careful operational planning and management via production
optimization for increased recovery and long‐term project profitability. This article addresses …

[HTML][HTML] Numerical treatment of small strain single crystal plasticity based on the infeasible primal-dual interior point method

L Scheunemann, PSB Nigro, J Schröder - International Journal of Solids …, 2021 - Elsevier
In this contribution, a small strain single crystal plasticity framework in the context of an
infeasible primal–dual interior point method (IPDIPM) is discussed with a focus on the …

Primal–dual interior-point methods for domain-driven formulations

M Karimi, L Tunçel - Mathematics of Operations Research, 2020 - pubsonline.informs.org
We study infeasible-start, primal–dual interior-point methods for convex optimization
problems given in a typically natural form we denote as domain-driven formulations. Our …

Worst-case iteration bounds for log barrier methods on problems with nonconvex constraints

O Hinder, Y Ye - Mathematics of Operations Research, 2024 - pubsonline.informs.org
Interior point methods (IPMs) that handle nonconvex constraints such as IPOPT, KNITRO
and LOQO have had enormous practical success. We consider IPMs in the setting where the …

A primal-dual interior-point relaxation method with global and rapidly local convergence for nonlinear programs

XW Liu, YH Dai, YK Huang - Mathematical Methods of Operations …, 2022 - Springer
Based on solving an equivalent parametric equality constrained mini-max problem of the
classic logarithmic-barrier subproblem, we present a novel primal-dual interior-point …

Log barriers for safe non-convex black-box optimization

I Usmanova, A Krause, M Kamgarpour - arXiv preprint arXiv:1912.09478, 2019 - arxiv.org
We address the problem of minimizing a smooth function $ f^ 0 (x) $ over a compact set $ D
$ defined by smooth functional constraints $ f^ i (x)\leq 0,~ i= 1,\ldots, m $ given noisy value …

[PDF][PDF] Primal-dual interior-point methods for domain-driven formulations: algorithms

M Karimi, L Tunçel - arXiv preprint arXiv:1804.06925, 2018 - math.uwaterloo.ca
We study infeasible-start primal-dual interior-point methods for convex optimization
problems given in a typically natural form we denote as Domain-Driven formulation. Our …

Novas abordagens determinísticas de otimização para resolução do problema de fluxo de potência ótimo

DN Silva - 2019 - teses.usp.br
Em um problema de Fluxo de Potência Ótimo (FPO), o objetivo é determinar um ponto de
operação para o sistema elétrico de potência que atenda suas restrições físicas e …