A New Transformed Biggs 's Self-Scaling Quasi-Newton Method for Optimization

In our work, we have proposed a new transformation Biggs's self-scaling Quasi-Newton update which is based on the simple idea of approximation for the inverse Hessian matrix. This transformation has implemented both theoretically and numerically and tested on some well-known test cases....

Full description

Bibliographic Details
Main Authors:	Basim A. Hassan, Hawraz N. Jabbar
Format:	Article
Language:	English
Published:	Salahaddin University-Erbil 2019-05-01
Series:	Zanco Journal of Pure and Applied Sciences
Subjects:	Quasi Newton Method Self-Scaling Variable Metric
Online Access:	https://zancojournals.su.edu.krd/index.php/JPAS/article/view/2858

id	doaj-ec129ec7c4644f0e89542eafd52dc728
record_format	Article
spelling	doaj-ec129ec7c4644f0e89542eafd52dc7282020-11-25T02:40:48ZengSalahaddin University-ErbilZanco Journal of Pure and Applied Sciences2218-02302412-39862019-05-0131s21510.21271/ZJPAS.31.s2.1A New Transformed Biggs 's Self-Scaling Quasi-Newton Method for OptimizationBasim A. Hassan0Hawraz N. Jabbar1Department of Mathematics, College of Computers Sciences and Mathematics, Mosul UniversityDepartment of Mathematics, College of Sciences, Kirkuk University, Kirkuk, IraqIn our work, we have proposed a new transformation Biggs's self-scaling Quasi-Newton update which is based on the simple idea of approximation for the inverse Hessian matrix. This transformation has implemented both theoretically and numerically and tested on some well-known test cases. Numerical experiments indicate that this transformation is more effective than the standard BFGS-method.https://zancojournals.su.edu.krd/index.php/JPAS/article/view/2858Quasi Newton MethodSelf-Scaling Variable Metric
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Basim A. Hassan Hawraz N. Jabbar
spellingShingle	Basim A. Hassan Hawraz N. Jabbar A New Transformed Biggs 's Self-Scaling Quasi-Newton Method for Optimization Zanco Journal of Pure and Applied Sciences Quasi Newton Method Self-Scaling Variable Metric
author_facet	Basim A. Hassan Hawraz N. Jabbar
author_sort	Basim A. Hassan
title	A New Transformed Biggs 's Self-Scaling Quasi-Newton Method for Optimization
title_short	A New Transformed Biggs 's Self-Scaling Quasi-Newton Method for Optimization
title_full	A New Transformed Biggs 's Self-Scaling Quasi-Newton Method for Optimization
title_fullStr	A New Transformed Biggs 's Self-Scaling Quasi-Newton Method for Optimization
title_full_unstemmed	A New Transformed Biggs 's Self-Scaling Quasi-Newton Method for Optimization
title_sort	new transformed biggs 's self-scaling quasi-newton method for optimization
publisher	Salahaddin University-Erbil
series	Zanco Journal of Pure and Applied Sciences
issn	2218-0230 2412-3986
publishDate	2019-05-01
description	In our work, we have proposed a new transformation Biggs's self-scaling Quasi-Newton update which is based on the simple idea of approximation for the inverse Hessian matrix. This transformation has implemented both theoretically and numerically and tested on some well-known test cases. Numerical experiments indicate that this transformation is more effective than the standard BFGS-method.
topic	Quasi Newton Method Self-Scaling Variable Metric
url	https://zancojournals.su.edu.krd/index.php/JPAS/article/view/2858
work_keys_str_mv	AT basimahassan anewtransformedbiggssselfscalingquasinewtonmethodforoptimization AT hawraznjabbar anewtransformedbiggssselfscalingquasinewtonmethodforoptimization AT basimahassan newtransformedbiggssselfscalingquasinewtonmethodforoptimization AT hawraznjabbar newtransformedbiggssselfscalingquasinewtonmethodforoptimization
_version_	1724779691189993472

A New Transformed Biggs 's Self-Scaling Quasi-Newton Method for Optimization

Similar Items