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SOME MODIFICATIONS OF CHEBYSHEV-HALLEY’S METHODS FREE FROM SECOND DERIVATIVE WITH EIGHTH-ORDER OF CONVERGENCE

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 2 (2022) · pp. 531–538

DOI
10.30598/barekengvol16iss2pp531-538
ISSN
2615-3017, 1978-7227
Published
2022-06-01
Publisher
PATTIMURA UNIVERSITY
Language
eng

Abstract

The variant of Chebyshev-Halley’s method is an iterative method used for solving a nonlinear equation with third order of convergence. In this paper, we present some new variants of three steps Chebyshev-Halley’s method free from second derivative with two parameters. The proposed methods have eighth-order of convergence for and and require four evaluations of functions per iteration with index efficiency equal to. Numerical simulation will be presented by using several functions to show the performance of the proposed methods.

Collaboration network of the authors

21 authors · 40 co-authorship links

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  • State University of Malang
  • Andalas University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Mohammad SolehAffiliation unknown3
Corry Corazon MarzukiAffiliation unknown2
Eko SujarwantoState University of Malang1
Arif HidayatState University of Malang1
Rinda KiranaAffiliation unknown1
Nurweni PutriAffiliation unknown1
Fitri AryaniAffiliation unknown1
Dian Ayu PuspitaAffiliation unknown1
Aminah UtamiAffiliation unknown1
Mona ElviyentiAffiliation unknown1
Riry SriningsihAffiliation unknown1
Mutia NazviraAffiliation unknown1
Elfira SafitriAffiliation unknown1
Mahdhivan SyafwanAndalas University1
Budi RudiantoAffiliation unknown1
Syafrizal SyAffiliation unknown1
Irma SuryaniAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">SOME MODIFICATIONS OF CHEBYSHEV-HALLEY’S METHODS FREE FROM SECOND DERIVATIVE WITH EIGHTH-ORDER OF CONVERGENCE</dc:title>
	<dc:creator>Muda, Yuslenita</dc:creator>
	<dc:creator>Santi, Neng</dc:creator>
	<dc:creator>Wartono, Wartono</dc:creator>
	<dc:creator>Muhafzan, Muhafzan</dc:creator>
	<dc:description xml:lang="en-US">The variant of Chebyshev-Halley’s method is an iterative method used for solving a nonlinear equation with third order of convergence. In this paper, we present some new variants of three steps Chebyshev-Halley’s method free from second derivative with two parameters. The proposed methods have eighth-order of convergence for  &amp;nbsp;and  &amp;nbsp;and require four evaluations of functions per iteration with index efficiency equal to  . Numerical simulation will be presented by using several functions to show the performance of the proposed methods. </dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-06-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5181</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss2pp531-538</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 531-538</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss2year2022</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5181/4483</dc:relation>
</oai_dc:dc>