求解非线性方程的二重弦截法

Twofold Secant Method of Solving Nonlinear Equation

给出了求解非线性方程的二重弦截法公式,证明了它的收敛阶为2.618,指出并且分析了3个文献中关于"牛顿法P.C.格式"的一些错误结论.效能分析和数值试验都表明:二重弦截法(或弦截法)比牛顿法和牛顿法P.C.格式更有效.

Atwofold Secant method iteration formula is given and its order of convergence is proved to be 2.618.Also,some wrong conclusions about the Newton method P.C.iteration format in three references are pointed and analyzed.The efficiency analysis and the numerical experiments show that the twofold Secant method（or Secant method） is more efficient than Newton method and the Newton method P.C.iteration format.