General Family of Third Order Methods for Multiple Roots of Nonlinear Equations and Basin Attractors for Various Methods

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dc.contributor.authorRajni Sharma
dc.contributor.authorAshu Bahl
dc.date.accessioned2026-02-13T09:19:10Z
dc.date.available2026-02-13T09:19:10Z
dc.date.issued2014
dc.description.abstractA general scheme of third order convergence is described for finding multiple roots of nonlinear equations. The proposed scheme requires one evaluation of 𝑓, 𝑓󸀠 , and 𝑓󸀠󸀠 each per iteration and contains several known one-point third order methods for finding multiple roots, as particular cases. Numerical examples are included to confirm the theoretical results and demonstrate convergence behavior of the proposed methods. In the end, we provide the basins of attraction for some methods to observe their dynamics in the complex plane.
dc.identifier.otherhttp://dx.doi.org/10.1155/2014/963878
dc.identifier.urihttp://davjalandhar.ndl.gov.in/handle/123456789/190
dc.language.isoen
dc.publisherHindawi Publishing Corporation Advances in Numerical Analysis Volume 2014, Article ID 963878, 8 pages
dc.titleGeneral Family of Third Order Methods for Multiple Roots of Nonlinear Equations and Basin Attractors for Various Methods
dc.typeArticle
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