[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 …

An interior point algorithm for large-scale nonlinear programming

RH Byrd, ME Hribar, J Nocedal - SIAM Journal on Optimization, 1999 - SIAM
The design and implementation of a new algorithm for solving large nonlinear programming
problems is described. It follows a barrier approach that employs sequential quadratic …

[图书][B] Iterative methods for optimization

CT Kelley - 1999 - SIAM
This book on unconstrained and bound constrained optimization can be used as a tutorial
for self-study or a reference by those who solve such problems in their work. It can also …

A trust region method based on interior point techniques for nonlinear programming

RH Byrd, JC Gilbert, J Nocedal - Mathematical programming, 2000 - Springer
An algorithm for minimizing a nonlinear function subject to nonlinear inequality constraints is
described. It applies sequential quadratic programming techniques to a sequence of barrier …

Interior methods for nonlinear optimization

A Forsgren, PE Gill, MH Wright - SIAM review, 2002 - SIAM
Interior methods are an omnipresent, conspicuous feature of the constrained optimization
landscape today, but it was not always so. Primarily in the form of barrier methods, interior …

Retrospective on optimization

LT Biegler, IE Grossmann - Computers & Chemical Engineering, 2004 - Elsevier
In this paper, we provide a general classification of mathematical optimization problems,
followed by a matrix of applications that shows the areas in which these problems have …

[图书][B] Perspectives in flow control and optimization

MD Gunzburger - 2002 - SIAM
Flow control and optimization is at once an old and a new subject of mathematical and
engineering interest. It has fascinated many great minds, among them those of Newton and …

A penalty method for PDE-constrained optimization in inverse problems

T van Leeuwen, FJ Herrmann - Inverse Problems, 2015 - iopscience.iop.org
Many inverse and parameter estimation problems can be written as PDE-constrained
optimization problems. The goal is to infer the parameters, typically coefficients of the PDE …

On optimization techniques for solving nonlinear inverse problems

E Haber, UM Ascher, D Oldenburg - Inverse problems, 2000 - iopscience.iop.org
This paper considers optimization techniques for the solution of nonlinear inverse problems
where the forward problems, like those encountered in electromagnetics, are modelled by …

On the solution of equality constrained quadratic programming problems arising in optimization

NIM Gould, ME Hribar, J Nocedal - SIAM Journal on Scientific Computing, 2001 - SIAM
We consider the application of the conjugate gradient method to the solution of large
equality constrained quadratic programs arising in nonlinear optimization. Our approach is …