A Comparison of Newton's Method and Two of its Modifications for the Solution of Nonlinear Optimization Problems. (3rd June 2017)
- Record Type:
- Journal Article
- Title:
- A Comparison of Newton's Method and Two of its Modifications for the Solution of Nonlinear Optimization Problems. (3rd June 2017)
- Main Title:
- A Comparison of Newton's Method and Two of its Modifications for the Solution of Nonlinear Optimization Problems
- Authors:
- Abiodun, Taiwo Lukumon
Adelabu, Olusesan Adeyemi - Abstract:
- ABSTRACT: This paper presents two iterative modifications of the Newton's method for solving unconstrained optimization problems. Each of the two methods requires an update formula which replaces an inverse matrix and maintains positive definiteness property. The methods are based on the recurrence of matrix factoriz ations. The paper also show the behaviour and performance of the methods at each iteration. Numerical results are presented to compare the performance of the Newton's methods and the two modifications.
- Is Part Of:
- International journal of educational sciences. Volume 17:Number 1-3(2017)
- Journal:
- International journal of educational sciences
- Issue:
- Volume 17:Number 1-3(2017)
- Issue Display:
- Volume 17, Issue 1-3 (2017)
- Year:
- 2017
- Volume:
- 17
- Issue:
- 1-3
- Issue Sort Value:
- 2017-0017-NaN-0000
- Page Start:
- 116
- Page End:
- 128
- Publication Date:
- 2017-06-03
- Subjects:
- Newton's Method -- Optimization Problems -- Quasi-Newton's Method -- Test Functions
Teaching -- Periodicals
Education -- Periodicals
370 - Journal URLs:
- http://www.tandfonline.com/ ↗
- DOI:
- 10.1080/09751122.2017.1323496 ↗
- Languages:
- English
- ISSNs:
- 0975-1122
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 6710.xml