A stochastic sequential quadratic optimization algorithm for nonlinear-equality-constrained optimization with rank-deficient Jacobians

AS Berahas, FE Curtis, MJ O'Neill… - Mathematics of …, 2023 - pubsonline.informs.org
A sequential quadratic optimization algorithm is proposed for solving smooth nonlinear-
equality-constrained optimization problems in which the objective function is defined by an …

Inexact sequential quadratic optimization for minimizing a stochastic objective function subject to deterministic nonlinear equality constraints

FE Curtis, DP Robinson, B Zhou - arXiv preprint arXiv:2107.03512, 2021 - arxiv.org
An algorithm is proposed, analyzed, and tested experimentally for solving stochastic
optimization problems in which the decision variables are constrained to satisfy equations …

Matrix-free interior point method

J Gondzio - Computational Optimization and Applications, 2012 - Springer
In this paper we present a redesign of a linear algebra kernel of an interior point method to
avoid the explicit use of problem matrices. The only access to the original problem data …

[PDF][PDF] Numerical simulation methods for embedded optimization

R Quirynen - 2017 - researchgate.net
Our quality of life, the world's productivity and its sustainability become more and more
determined by the outcome and benefits of process automation. In this domain of automatic …

An interior-point algorithm for large-scale nonlinear optimization with inexact step computations

FE Curtis, O Schenk, A Wächter - SIAM Journal on Scientific Computing, 2010 - SIAM
We present a line-search algorithm for large-scale continuous optimization. The algorithm is
matrix-free in that it does not require the factorization of derivative matrices. Instead, it uses …

An adaptive sampling sequential quadratic programming method for equality constrained stochastic optimization

AS Berahas, R Bollapragada, B Zhou - arXiv preprint arXiv:2206.00712, 2022 - arxiv.org
This paper presents a methodology for using varying sample sizes in sequential quadratic
programming (SQP) methods for solving equality constrained stochastic optimization …

A sequential quadratic programming method for optimization with stochastic objective functions, deterministic inequality constraints and robust subproblems

S Qiu, V Kungurtsev - arXiv preprint arXiv:2302.07947, 2023 - arxiv.org
In this paper, a robust sequential quadratic programming method of [1] for constrained
optimization is generalized to problem with stochastic objective function, deterministic …

A first-order numerical algorithm without matrix operations

M Adil, R Madani, S Tavakkol, A Davoudi - arXiv preprint arXiv …, 2022 - arxiv.org
This paper offers a matrix-free first-order numerical method to solve large-scale conic
optimization problems. Solving systems of linear equations pose the most computationally …

A note on the implementation of an interior-point algorithm for nonlinear optimization with inexact step computations

FE Curtis, J Huber, O Schenk, A Wächter - Mathematical programming, 2012 - Springer
This paper describes an implementation of an interior-point algorithm for large-scale
nonlinear optimization. It is based on the algorithm proposed by Curtis et al.(SIAM J Sci …

An inertia-free filter line-search algorithm for large-scale nonlinear programming

NY Chiang, VM Zavala - Computational Optimization and Applications, 2016 - Springer
We present a filter line-search algorithm that does not require inertia information of the linear
system. This feature enables the use of a wide range of linear algebra strategies and …