牛顿法与插值法的并用  

Usage of Newton's Method and Insert's method

作　　者：杨紫强 

机构地区：[1]天津现代职业技术学院,天津市300222

出　　处：《天津成人高等学校联合学报》2004年第2期50-52,共3页Journal of Tianjin Adult Higher Learning

摘　　要：　牛顿法与插值法,这两种方法各有长短,都能适用于一般的连续函数,而不仅限于用在多项式上;秦九韶法只能用于求多项式的根,但秦九韶法能决定根之近似值精确到预先要求的任何位小数,这一点对单独使用牛顿法或单独使用插值法都难于判断,只有牛顿法与插值法同时并用才能够做到。The method of Newton and Insert have advantages and shortcomings. They can not only fit multinomial, but also fit continuous function. The method of Qinjiushao only can be used to find the multinomial root, but it can decide the number of roots, and can get to any decimal accurately. Either the Newton's method or the Insert's method alone can not get the effect as the method of Qinjiushao does.But it is can be done by using the method of Newton and Insert together.

关 键 词：牛顿法 插值法 连续函数 多项式 秦九韶法 

分 类 号：O242.23[理学—计算数学] O241.3[理学—数学]