Quasi-Newton methods were introduced by Charles Broyden [A class of methods for solving
nonlinear simultaneous equations, Math Comp. 19 (1965), pp. 577–593] as an alternative to …

Nonlinear equations and nonlinear least squares problems have many applications in
physics, chemistry, engineering, biology, economics, finance and many other fields. In this …

This overview paper reviews numerical methods for solution of optimal control problems in
real-time, as they arise in nonlinear model predictive control (NMPC) as well as in moving …

1.1 Introduction Feedback control based on an online optimization of nonlinear dynamic
process models subject to constraints, and its special case, nonlinear model predictive …

With the growing maturity and accuracy of bed models for adsorption, increasing
sophistication of pressure swing adsorption (PSA) cycles and competitive demands for high …

We develop and analyze a trust-region sequential quadratic programming (SQP) method for
the solution of smooth equality constrained optimization problems, which allows the inexact …

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 …

The efficiency of an unstructured grid finite volume RANS solver is significantly improved
using two implicit methods based on differing philosophies. The LU-SGS multigrid method …

This paper proposes an algorithmic framework for solving parametric optimization problems
which we call adjoint-based predictor-corrector sequential convex programming. After …

In recent years, efficient optimization algorithms for nonlinear model predictive control
(NMPC) have been proposed, that significantly reduce the online computational time. In …