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5 - Minimization in One Dimension

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 chapter is a standard section in most introductory material on optimization.It examines three basic one-dimensional optimization methods, highlighting connections between them and leading to the one-dimensional Newton's method as the method of choice.

Keywords

BisectionGolden Section MethodNewton's method in 1 dimension
Type
Chapter
Information
Optimization for Chemical and Biochemical Engineering
Theory, Algorithms, Modeling and Applications
 , pp. 57 - 62
Publisher: Cambridge University Press
Print publication year: 2021

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