基于有理函数模型的一维最优化方法

METHOD OF UNIVARIATE OPTIMIZATION BASED ON THE RATIONAL FUNCTION MODEL

在本文中提出了基于有理函数模型的一维最优化方法。这些方法比二次模型方法有较好的数值性态和适应性。我们给出了有理反差商方法和Ｎｅｖｉｌｅ型方法，并将其与二次插值方法进行了数值比较。

In this paper, we propose a general method of univariate optimization baseon the rationai function model,whose numerical behaviour and adaptability is better thanthe quadratic interpolation.Using the rational inverse differece quotient we obtain also aNevile-like algorithm and give some numerical results as compared with the quadratic in-terpolation method.