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-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-10T15:51:52.579Z Has data issue: false hasContentIssue false

9 - Interior Point Methods (IPM’s):A Detailed Analysis

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 the main chapter of the book that introduces in detail how modern Interior Point Methods work, what they are based on, and the associated numerical-computational implementation schemes involved.The difference between primal barrier methods and primal-dual barrier methods is presented and discussed, showing why nowadays mostly primal-dual methods are used in general optimization solvers.

Keywords

Interior Point MethodsPrimal barrier method formulationsPrimal-dual barrier method formulationsCanonical NLP model formulation
Type
Chapter
Information
Optimization for Chemical and Biochemical Engineering
Theory, Algorithms, Modeling and Applications
 , pp. 101 - 112
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 coreplatform@cambridge.org 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
×