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7 - Constrained Nonlinear Programming Problems (NLP)

from Part II - From General Mathematical Background to General Nonlinear Programming Problems (NLP)

Published online by Cambridge University Press:  17 December 2020

Vassilios S. Vassiliadis ,
Walter Kähm ,
Ehecatl Antonio del Rio Chanona  and
Ye Yuan
Vassilios S. Vassiliadis
Affiliation:
University of Cambridge
Ehecatl Antonio del Rio Chanona
Affiliation:
Imperial College London
Ye Yuan
Affiliation:
Huazhong University of Science and Technology
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Summary

This is one of the main and key chapters in the introductory material part of this book.Constrained nonlinear programming, involving both equality and inequality constraints, is introduced and related in an intuitive (at this stage) manner with Lagrange multipliers.In a later chapter (duality theory, Chapter 17) a more rigorous and theoretical introduction to Lagrangian theory is presented.

Keywords

Nonlinear ProgrammingKKT conditionsLagrangian functionLagrange multipliers
Type
Chapter
Information
Optimization for Chemical and Biochemical Engineering
Theory, Algorithms, Modeling and Applications
 , pp. 81 - 90
Publisher: Cambridge University Press
Print publication year: 2021

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