用五参数法求解拟五对角方程组

在解决椭圆或抛物型差分方程、求具边值条件的微分方程的数值解、以及求解五次样条插值问题时,经常要把问题归结为求解五对角线性方程组或拟五对角线性方程组.本文针对系数阵为拟五对角阵的线性方程组求解问题给出了五参数求解方法,并进行了误差分析.误差分析表明,它是有效、稳定的算法.

Penta-parametric Methods for Solving System of Quasi-hendecago nal Equations

Five groups of parameters are derived in penta-parametric methods. Penta-p-arametric methods am effective for solving system of quasi-pentadactylic equations. In the process to finding numerical solutions of difference or differential equations, to find the solutions of interpolation of the 5 degree splines, it is often to change the problem into solving systems of quasi-pentadactylic linear equations. In this paper, penta-parametric methods are derived for system of quasi-pentadactylic equations. And then the error analysis had been made. From the analysis it has been known that the method is an effective and stable one.