A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation

We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2n−1 using rational interpolant. The special cases of this class are obtained. These methods do not need Newton's iterate in the first step of their iterative schemes. Numerical computations are presented to show that the new methods are efficient and can be seen as better alternates.

• Publication year

  2015

• Venue

  TheScientificWorldJournal

• Publication date

  2015-01-28

• Fields of study

  Mathematics, Computer Science, Medicine

• Identifiers
  DOI 10.1155/2015/934260PMID 25722990PMCID 4333564
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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