反向Gauss消元及方阵的UL分解

Reverse Gauss Elimination for Equations and UL Decomposition of Matrices

讨论了求解线性方程组的反向Gauss消元法.首先将方程组变成等价的下三角方程组,再通过代入求解出方程组的解;此外,讨论了与此对应的UL分解及其计算方法.

This paper discusses the reverse Gauss elimination which changes the linear equations into equivalent lower triangular equations,then gets the solutions by substitution. The UL decompositions of matrices are also discussed and its computation methods are given.