Semilocal convergence of a family of third-order Chebyshev-type methods under a mild differentiability condition

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dc.contributor.author Parida, Pradip Kumar
dc.contributor.author Gupta, D. K.
dc.date.accessioned 2014-03-15T10:40:58Z
dc.date.available 2014-03-15T10:40:58Z
dc.date.issued 2010-10
dc.identifier.citation Parida, Pradip Kumar and Gupta, D. K., “Semilocal convergence of a family of third-order Chebyshev-type methods under a mild differentiability condition”, International Journal of Computer Mathematics, DOI: 10.1080/00207160903026626, vol. 87, no. 15, pp. 3405–3419, Dec. 2010. en_US
dc.identifier.issn 0020-7160
dc.identifier.uri http://dx.doi.org/10.1080/00207160903026626
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/724
dc.description.abstract The aim of this paper is to establish the semilocal convergence of a family of third-order Chebyshev-type methods used for solving nonlinear operator equations in Banach spaces under the assumption that the second Fréchet derivative of the operator satisfies a mild ω-continuity condition. This is done by using recurrence relations in place of usual majorizing sequences. An existence–uniqueness theorem is given that establishes the R-order and existence–uniqueness ball for the method. Two numerical examples are worked out and comparisons being made with a known result. en_US
dc.description.statementofresponsibility by P. K. Paridaa and D. K. Guptab
dc.format.extent Vol. 87, No. 15, pp. 3405-3419
dc.language.iso en en_US
dc.publisher Taylor & Francis en_US
dc.subject ω-continuity condition en_US
dc.subject Nonlinear operator equations en_US
dc.subject Recurrence relations en_US
dc.subject R-order of convergence en_US
dc.subject Semilocal convergence en_US
dc.title Semilocal convergence of a family of third-order Chebyshev-type methods under a mild differentiability condition en_US
dc.type Article en_US
dc.relation.journal International Journal of Computer Mathematics


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