Young Hee Geum, Young Ik Kim, "An Extended Newton’s Method with Free Second-order Derivatives," WSEAS Transactions on Mathematics, vol. 13, pp. 462-465, 2014, DOI:
Young Hee Geum, Young Ik Kim. An Extended Newton’s Method with Free Second-order Derivatives.
WSEAS Transactions on Mathematics. 2014;13:462-465.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
An Extended Newton’s Method with Free Second-order Derivatives
Authors: ,
Abstract: We propose the cubic-order numerical method free of second derivatives and derive the asymptotic error constant in terms of control parameters. Applying this proposed scheme to various test functions, numerical results show a good agreement with the theory analyzed in this paper and are proven using Mathematica with its highprecision computability.
Pages: 462-465 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #44 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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