高斯消去法和矩阵三角分解法在线性方程组中的应用

Application of Gaussian Elimination Method and Matrix Triangular Decomposition Method in Linear System of Equations

文章介绍了高斯消去法和矩阵三角分解法这两类直接求解线性方程组的数值解法,并阐述了它们的基本思想、具体解法及特点,最后给出了各解法的相关数值实例及分析方法.

Gaussian elimination and matrix triangular decomposition,who are two direct methods,are in⁃troduced in this paper to solve numerical method in linear system of equations,whose main contents,the specif⁃ic solution and characteristics are elaborated as well.The paper finally expounds the relevant numerical exam⁃ples and analysis of the two methods.