Unified Local Convergence for some High Order Methods with one Parameter

Santhosh George; Ioannis K. Argyros

Unified Local Convergence for some High Order Methods with one Parameter

Santhosh George * Ph.D

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Ioannis K. Argyros

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Unified Local Convergence for some High Order Methods with one Parameter

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Abstract

The aim of this paper is to extend the applicability of some Chebyshev-Halley-type method with one parameter for solving nonlinear equations under weaker than before hypotheses on the second derivative.

References

17 Cites in Article

Reference Format

I Argyros (2007). Studies in Computational Mathematics 15.
I Argyros,D Chen,Q Quian (1994). The Jarratt method in Banach space setting.
I Argyros,Said Hilout (2013). Computational methods in nonlinear analysis.
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V Candela,A Marquina (1990). Recurrence relations for rational cubic methods II: The Chebyshev method.
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M Hernández,M Salanova (1999). Sufficient conditions for semilocal convergence of a fourth order multipoint iterative method for solving equations in Banach spaces.
P Jarratt (1996). Some fourth order multipoint iterative methods for solving equations.
P Parida,D Gupta (2007). Recurrence relations for a Newton-like method in Banach spaces.
M Prashanth,D Gupta (2013). A CONTINUATION METHOD AND ITS CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS IN BANACH SPACES.
W Rheinboldt (1977). An adaptive continuation process for solving systems of nonlinear equations.
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X Wang,J Kou,C Gu (2011). Semilocal convergence of a sixth-order Jarratt method in Banach spaces.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Santhosh George, Ioannis Argyros, Santhosh George. 2017. "Unified Local Convergence for some High Order Methods with one Parameter". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F8).

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GJSFR Volume 17 Issue F8

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 49M15

47H17

Submission ReceivedOctober 24, 2017
Peer Review Double Blind
Handling Editor
Accepted November 14, 2017
Published November 29, 2017

Version of record

v1.2

Issue date

December 19, 2017

Language

English

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Article Matrices

Total Score: 146

Country: India

Subject: Global Journal of Science Frontier Research

Authors: Ioannis K. Argyros, Santhosh George (PhD/Dr. count: 0)

View Count (all-time): 292

Total Views (Real + Logic): 1275

Total Downloads (simulated): 110

Publish Date: 2017 11, Wed

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Total Views: 1.3K

Total Downloads: 110

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