High order nonlinear solver
Johnson, Anthony N.
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An eighth order method for finding simple zeros of nonlinear functions is developed. The method requires two function- and three derivative-evaluation per step. If we define informational efficiency of a method as the order per function evaluation, we find that our method has informational efficiency of 1.6.
J. Computational Methods in Science and Engineering, 8 No. 4-6, (2008), 245–250.
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