【摘要】 连分式逼近是一种重要的有理逼近.作者基于Th iele连分式逼近,重新推导了Halley迭代公式.采用导数可以被差商近似的办法,得到两个多初始点的迭代公式,从而避免了求导数运算.最后,通过实例将得到的几个迭代格式公式进行了数值实验.更多还原

【Abstract】 Continued fraction is an important rational approximation.By means of Thiele’s continued fraction,the Halley’s iterative formula was deduced again in this paper.Considering that derivatives could be approximated by divided differences,two iterative schemes that avoid computing derivatives were obtained.But more initial numbers were needed.At last numerical example was computed by these iteration schemes.更多还原