Beta
ManageSearchChatDiscover
384565

Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations

Article

Last updated: 29 Dec 2024

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

In this paper, we propose a self adaptive spectral conjugate gradient-based projection
method for systems of nonlinear monotone equations. Based on its modest memory
requirement and its efficiency, the method is suitable for solving large-scale equations.
We show that the method satisfies the descent condition FT
k dk ≤ −cFk2, c > 0, and
also prove its global convergence. The method is compared to other existing methods
on a set of benchmark test problems and results show that the method is very efficient
and therefore promising.

DOI

10.1186/s42787-019-0066-1

Keywords

Self adaptive, Spectral conjugate gradient method, Nonlinear monotone equations

Authors

First Name

M.

Last Name

Koorapetse

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

P.

Last Name

Kaelo

MiddleName

-

Affiliation

Department of Mathematics, University of Botswana, Private Bag UB00704 Gaborone, Botswana

Email

-

City

-

Orcid

-

Volume

28

Article Issue

1

Related Issue

50535

Issue Date

2020-06-01

Receive Date

2024-10-07

Publish Date

2020-06-01

Page Start

1

Page End

21

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 28_Issue 1_Pages 1-21.pdf

PDF . 608.5kB

Link

https://joems.journals.ekb.eg/article_384565.html

Detail API

https://joems.journals.ekb.eg/service?article_code=384565

Order

384,565

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations

Details

Type

Article

Created At

21 Dec 2024