Cover Image

An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations

We present a new diagonal quasi-Newton update with an improved diagonal Jacobian approximation for solving large-scale systems of nonlinear equations. In this approach, the Jacobian approximation is derived based on the quasi-Cauchy condition. The anticipation has been to further improve the perform...

Full description

Saved in:
Bibliographic Details
Main Authors: Waziri, Mohammed Yusuf, Abdul Majid, Zanariah
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30184/1/An%20improved%20diagonal%20Jacobian%20approximation%20via%20a%20new%20quasi.pdf
http://psasir.upm.edu.my/id/eprint/30184/
http://dx.doi.org/10.1155/2013/875935
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.30184
record_format eprints
spelling my.upm.eprints.301842016-02-12T08:59:02Z http://psasir.upm.edu.my/id/eprint/30184/ An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations Waziri, Mohammed Yusuf Abdul Majid, Zanariah We present a new diagonal quasi-Newton update with an improved diagonal Jacobian approximation for solving large-scale systems of nonlinear equations. In this approach, the Jacobian approximation is derived based on the quasi-Cauchy condition. The anticipation has been to further improve the performance of diagonal updating, by modifying the quasi-Cauchy relation so as to carry some additional information from the functions. The effectiveness of our proposed scheme is appraised through numerical comparison with some well-known Newton-like methods. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30184/1/An%20improved%20diagonal%20Jacobian%20approximation%20via%20a%20new%20quasi.pdf Waziri, Mohammed Yusuf and Abdul Majid, Zanariah (2013) An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations. Journal of Applied Mathematics, 2013. art. no. 875935. pp. 1-6. ISSN 1110-757X; ESSN:1687-0042 http://dx.doi.org/10.1155/2013/875935 10.1155/2013/875935
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description We present a new diagonal quasi-Newton update with an improved diagonal Jacobian approximation for solving large-scale systems of nonlinear equations. In this approach, the Jacobian approximation is derived based on the quasi-Cauchy condition. The anticipation has been to further improve the performance of diagonal updating, by modifying the quasi-Cauchy relation so as to carry some additional information from the functions. The effectiveness of our proposed scheme is appraised through numerical comparison with some well-known Newton-like methods.
format Article
author Waziri, Mohammed Yusuf
Abdul Majid, Zanariah
spellingShingle Waziri, Mohammed Yusuf
Abdul Majid, Zanariah
An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations
author_facet Waziri, Mohammed Yusuf
Abdul Majid, Zanariah
author_sort Waziri, Mohammed Yusuf
title An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations
title_short An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations
title_full An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations
title_fullStr An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations
title_full_unstemmed An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations
title_sort improved diagonal jacobian approximation via a new quasi-cauchy condition for solving large-scale systems of nonlinear equations
publisher Hindawi Publishing Corporation
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30184/1/An%20improved%20diagonal%20Jacobian%20approximation%20via%20a%20new%20quasi.pdf
http://psasir.upm.edu.my/id/eprint/30184/
http://dx.doi.org/10.1155/2013/875935
_version_ 1643829982288412672
score 13.211869

Similar Items