Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-23T14:11:24.777Z Has data issue: false hasContentIssue false

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×