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读过《数学通报》1986年第6期登载的《利用微型机求高次方程实数解》一文后,觉得文中所述方法虽易懂,但不大适合于程序使用。因为程序运行时间要由高次方程的次数来决定,求导层太次多,不仅费时,而且影响计算精度。 我们在老师的帮助下,根据斯特姆—秦九韶方法,编制成了求高次方程实根的程序。下面简单介绍一下这个程序及其原理。
After reading the article “Using Microcomputers to Solve Real Solutions of Higher Order Equations” published in the “Mathematical Bulletin,” No. 6, 1986, I feel that the method described in the article is easy to understand, but not suitable for use in programs. Because the running time of the program is determined by the number of high-order equations, the derivation layer is too many times, which not only takes time, but also affects the calculation accuracy. With the help of a teacher, we compiled a procedure for real roots of higher order equations based on the Sturm-Qin Jiuchao method. Here’s a brief introduction to this program and its principles.