论文部分内容阅读
用设辅助元的方法解方程(组)是解一些复杂方程(组)的一个有力手段。但是,即使对同一方程(组)也有很多换元方法,而由此所决定的解方程(组)的计算量有时竟有很大差别。因此,针对不同结构特点的方程(组)应该通过分析选择合适的辅助元。本文再介绍一种设辅助元的方法,对某些方程(组)来说同常见的其它换元方法相比较,它能降低所得辅助元方程的次数而使解法相应获得简
Solving equations (groups) by using auxiliary elements is a powerful means to solve some complicated equations (groups). However, even if there are many conversion methods for the same equation (group), the amount of calculations for the solution equations (groups) thus determined may sometimes be quite different. Therefore, the equations (groups) for different structural characteristics should be selected through analysis of suitable auxiliary elements. This paper introduces a method of setting auxiliary elements. For some equations (groups), compared with other common substitution methods, it can reduce the number of auxiliary equations obtained and make the solution correspondingly simple.