三次样条函数的一种计算机处理方法及程序

A Computer Treatment Method and Program for Cubic Spline Function

在解三次样条函数时,最后都要归结为求解三对角型方程组。根据此类方程组的特点,本文介绍了一种追赶法,推导了使用这种方法的消元过程和回代过程,并给出了求解此类方程组的通用Fortran子程序。大大地节省了计算工作量和计算机存贮单元。

In solving a cubic spline function, all calculation with eventually sum up solutions for tridiagonal equation group. Acoording to the speciality of the equation group, the pursuit method including elimination and back substitution process is derived, and a general Fortran subroutine for solving the equation group is developed in this paper. The method can greatly save storage cells as well as calculation load.