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390105

Solutions of large-scale nonlinear ‎systems VIA using quasi-Newton ‎methods of order 1 and 2‎

Article

Last updated: 24 Dec 2024

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Abstract

          This thesis studies numerical solutions of large-scale nonlinear systems using unconstrained optimization techniques. We focus on Quasi-Newton methods of order 1 and 2. We describe the methods, the corresponding algorithms, and their costs and convergence rates in order to allow a motivated methods choice. We limit ourselves to nonlinear linear systems resulting from finite elements discretization of boundary value problems.

DOI

10.21608/ajsr.2024.390105

Authors

First Name

Nouf Abdullah Hassan

Last Name

Alshehri

MiddleName

-

Affiliation

Department of Mathematics College of Science King Khalid ‎University

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City

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Orcid

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Volume

8

Article Issue

9

Related Issue

51384

Issue Date

2024-10-01

Receive Date

2024-11-02

Publish Date

2024-10-01

Page Start

1

Page End

22

Print ISSN

2537-0367

Online ISSN

2537-0375

Article File

AJSR_Volume 8_Issue 9_Pages 1-22.pdf

PDF . 1.3MB

Link

https://ajsr.journals.ekb.eg/article_390105.html

Detail API

https://ajsr.journals.ekb.eg/service?article_code=390105

Order

390,105

Type

Original Article

Type Code

930

Publication Type

Journal

Publication Title

The Arab Journal of Scientific Research

Publication Link

https://ajsr.journals.ekb.eg/

MainTitle

Solutions of large-scale nonlinear ‎systems VIA using quasi-Newton ‎methods of order 1 and 2‎

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Article

Created At

24 Dec 2024