Second-derivative-free variants of Cauchy's method

作者：Kou Jisheng^*

来源：Applied Mathematics and Computation, 2007, 190(1): 339-344.

DOI：10.1016/j.amc.2007.01.028

• Cauchy's method
• Newton's method
• non-linear equations
• root-finding
• iterative method

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.

• 出版日期2007-7-1
• 单位上海大学