Mathematica 9 is now available

QRDecomposition

Usage

QRDecomposition[m]给出数值矩阵m的 QR 分解.该结果为列表{q, r},其中,q是一个正交阵,r是一个上三角矩阵.


Notes

• 原来的矩阵m就等于Conjugate[Transpose[q]] . r.
• 对于非方阵,q是行正交的.
• 矩阵r中主对角线下方的元素为0.
QRDecomposition[m, Pivoting -> True] 得到列表 q, r, p ,其中p是一个置换矩阵,使得m . p 等于Conjugate[Transpose[q]] . r.
• 参见Mathematica 全书: 3.7.10节.
• 实现注释: 参见 A.9.4节.
Further Examples

Performing a QRDecomposition on this  x  matrix yields a pair of matrices.

In[1]:=  

Out[1]=

This checks the result.

In[2]:=  

Out[2]//MatrixForm=



Any questions about topics on this page? Click here to get an individual response.Buy NowMore Information
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.