A Novel Family of Multiple Root Finders with Optimal Eighth-Order Convergence and their Basins of Attraction

Simple item page
dc.contributor.authorRajni Sharma
dc.contributor.authorAshu Bahl
dc.contributor.authorRanjita Guglani
dc.date.accessioned2026-02-12T10:05:10Z
dc.date.available2026-02-12T10:05:10Z
dc.date.issued2024
dc.description.abstractIn this contribution, a novel scheme of multiple root finders for nonlinear equations with the univariate and bivariate weight functions is proposed. The basic requirement of the presented scheme is the known value of ’m’ (multiplicity of the root). Analysis of convergence is given to show that the proposed family achieves eighth-order convergence. Numerical experimentation is done to demonstrate accuracy and computational efficiency of the scheme. In addition, the obtained results show that the proposed scheme has an edge-over other considered eighth-order methods
dc.identifier.otherhttps://doi.org/10.1063/5.0210245
dc.identifier.urihttp://davjalandhar.ndl.gov.in/handle/123456789/189
dc.language.isoen
dc.publisherInternational Conference of Numerical Analysis and Applied Mathematics AIP Conf. Proc.
dc.titleA Novel Family of Multiple Root Finders with Optimal Eighth-Order Convergence and their Basins of Attraction
dc.typeArticle
Files
Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
500009_1_5.0210245.pdf
Size:
542.53 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Research Articles