[图书][B] Nonlinear programming: concepts, algorithms, and applications to chemical processes

LT Biegler - 2010 - SIAM
Chemical engineering applications have been a source of challenging optimization
problems for over 50 years. For many chemical process systems, detailed steady state and …

Sequential quadratic optimization for nonlinear equality constrained stochastic optimization

AS Berahas, FE Curtis, D Robinson, B Zhou - SIAM Journal on Optimization, 2021 - SIAM
Sequential quadratic optimization algorithms are proposed for solving smooth nonlinear
optimization problems with equality constraints. The main focus is an algorithm proposed for …

Multigrid methods for PDE optimization

A Borzi, V Schulz - SIAM review, 2009 - SIAM
Research on multigrid methods for optimization problems is reviewed. Optimization
problems considered include shape design, parameter optimization, and optimal control …

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 …

A Sequential Quadratic Programming Method With High-Probability Complexity Bounds for Nonlinear Equality-Constrained Stochastic Optimization

AS Berahas, M Xie, B Zhou - SIAM Journal on Optimization, 2025 - SIAM
A step-search sequential quadratic programming method is proposed for solving nonlinear
equality-constrained stochastic optimization problems. It is assumed that constraint function …

Accelerating stochastic sequential quadratic programming for equality constrained optimization using predictive variance reduction

AS Berahas, J Shi, Z Yi, B Zhou - Computational Optimization and …, 2023 - Springer
In this paper, we propose a stochastic method for solving equality constrained optimization
problems that utilizes predictive variance reduction. Specifically, we develop a method …

Accelerating design optimization using reduced order models

Y Choi, G Oxberry, D White, T Kirchdoerfer - arXiv preprint arXiv …, 2019 - arxiv.org
Although design optimization has shown its great power of automatizing the whole design
process and providing an optimal design, using sophisticated computational models, its …

Nonlinear programming without a penalty function or a filter

NIM Gould, PL Toint - Mathematical Programming, 2010 - Springer
A new method is introduced for solving equality constrained nonlinear optimization
problems. This method does not use a penalty function, nor a filter, and yet can be proved to …

An Efficient Numerical Method for the Solution of the Optimal Mass Transfer Problem

E Haber, T Rehman, A Tannenbaum - SIAM Journal on Scientific Computing, 2010 - SIAM
In this paper we present a new computationally efficient numerical scheme for the
minimizing flow approach for the computation of the optimal L_2 mass transport mapping. In …

A superlinear convergence feasible sequential quadratic programming algorithm for bipedal dynamic walking robot via discrete mechanics and optimal control

Z Sun, Y Tian, H Li, J Wang - Optimal Control Applications and …, 2016 - Wiley Online Library
For periodic gait optimization problem of the bipedal walking robot, a class of global and
feasible sequential quadratic programming algorithm (FSQPA) is proposed based on …