A General Class of Optimal Fourth-Order Multiple-Root Finders without Memory for Nonlinear Equations
نویسندگان
چکیده
This paper constructs a general class of two-point optimal fourthorder methods without memory for locating multiple roots of a nonlinear equation. On the basis of Kung-Traub’s conjecture, we investigate the optimal convergence as well as computational properties for the class. Explicit forms of asymptotic error constants are presented to strongly verify the convergence order. A variety of numerical examples are included to verify the developed theory. Mathematics Subject Classification: 65H05, 65H99, 65B99, 41A25
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