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A family of modified Ostrowski methods with accelerated sixth order convergence. (English) Zbl 1126.65046
Authors’ summary: Based on Ostrowski’s fourth order multipoint method, we derive a one-parameter family of sixth order methods for solving single nonlinear equations in . Each member of the family requires three evaluations of the given function and one evaluation of its derivative per iteration. Numerical examples are presented and performance is compared with Ostrowski’s method.
MSC:
65H05Single nonlinear equations (numerical methods)
Software:
Algorithm 524