论文信息 - Second-derivative-free variants of Cauchy's method

Second-derivative-free variants of Cauchy's method

Abstract In this paper, we present some new variants of Cauchy’s method free from the second derivative for solving non-linear equations. Per iteration the new methods require two evaluations of the function and one of its first derivative. The new methods have fourth-order convergence. Numerical tests verifying the theory are also given.

Jisheng Kou

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