Unified Local Convergence for some High Order Methods with one Parameter

1
Santhosh George
Santhosh George Ph.D
2
Ioannis K. Argyros
Ioannis K. Argyros

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Unified Local Convergence for some High Order Methods with one  Parameter Banner
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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.

17 Cites in Articles

References

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  14. W Rheinboldt (1977). An adaptive continuation process for solving systems of nonlinear equations.
  15. J Traub (1982). Iterative methods for the solution of equations.
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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.

Santhosh George. 2017. \u201cUnified Local Convergence for some High Order Methods with one Parameter\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F8): .

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Issue Cover
GJSFR Volume 17 Issue F8
Pg. 51- 58
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 49M15,47H17
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v1.2

Issue date

December 19, 2017

Language

English

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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.

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Unified Local Convergence for some High Order Methods with one Parameter

Ioannis K. Argyros
Ioannis K. Argyros
Santhosh George
Santhosh George

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