학술저널
ON A GENERAL CLASS OF OPTIMAL FOURTH-ORDER MULTIPLE-ROOT FINDERS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 26, No. 3
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2013.08657 - 669 (13 pages)
- 2
A general class of two-point optimal fourth-order meth-ods is proposed for locating multiple roots of a nonlinear equation. We investigate convergence analysis and computational properties for the family. Special and simple cases are considered for real-life applications. Numerical experiments strongly verify the conver- gence behavior and the developed theory.
1. Introduction
2. Method development and convergence analysis
3. Special cases of fourth-order methods
4. Algorithm, numerical results, and discussions
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