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gibson:teaching:fall-2016:math753:qr-leastsquares [2016/10/12 09:16] gibson |
gibson:teaching:fall-2016:math753:qr-leastsquares [2016/10/12 09:18] (current) gibson |
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\begin{equation*} | \begin{equation*} | ||
- | Q^T r = 0\\ | + | Q^T r = 0 |
- | Q^T (Ax-b) = 0\\ | + | \end{equation*} |
- | Q^T A x = Q^T b \\ | + | \begin{equation*} |
- | Q^T Q R x = Q^T b \\ | + | Q^T (Ax-b) = 0 |
+ | \end{equation*} | ||
+ | \begin{equation*} | ||
+ | Q^T A x = Q^T b | ||
+ | \end{equation*} | ||
+ | \begin{equation*} | ||
+ | Q^T Q R x = Q^T b | ||
+ | \end{equation*} | ||
+ | \begin{equation*} | ||
R x = Q^T b | R x = Q^T b | ||
\end{equation*} | \end{equation*} |