矩形矩阵的LU分解 [英] LU decomposition of rectangular matrices

问题描述

方法lu对于平方矩阵很好用.但是，我看不到为什么有square限制.如何在矩形矩阵上执行LU分解?

Method lu of package Matrix works fine for square matrices. However, I can't see why there is that square restriction. How can I perform LU decomposition on a rectangular matrix?

推荐答案

您可以将其嵌入到身份矩阵中:

You can embed it into a identity matrix:

[ a11 a12 a13 ]
[ a21 a22 a23 ]
[  0   0   1  ]

LU分解仅适用于平方矩阵.您可能需要查看维基百科以获得刷新.

LU decomposition is for square matrices only. You may want to check Wikipedia for a refreshing.

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