矩阵的三角分解与解线性方程组

On Triangular Decomposition of Matrix and Linear Equations Solution

矩阵的分解是矩阵理论中常用的方法,将一个矩阵分解为较简单或性质较熟悉的另一些矩阵的乘积,对该分解矩阵的讨论往往会更加简单方便。本文讨论矩阵的三角分解及矩阵的三角分解在解n元线性方程组中的应用。

The decomposition of matrix is an important way in its theory. To turn a matrix decomposition into another easy and familiar product of matrix is to simplize the decomposition. The writer in the paper states the triangular decomposition and its application in solving the n matrix linear equations.