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authorAdrian Kummerlaender2016-09-13 20:03:16 +0200
committerAdrian Kummerlaender2016-09-13 20:03:16 +0200
commitf1837beb1b2c135e23586c79fd60414af23a8d8c (patch)
tree70af6901e39067d5375a38501b25285ff6697110
parent625c65209ec1956cf2d7878831e09081570915f3 (diff)
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Fix Iwasawa decomposition scheme
-rw-r--r--lineare_algebra.tex8
1 files changed, 4 insertions, 4 deletions
diff --git a/lineare_algebra.tex b/lineare_algebra.tex
index 31c87e4..a50864e 100644
--- a/lineare_algebra.tex
+++ b/lineare_algebra.tex
@@ -508,10 +508,10 @@ q_1 & \hspace{-3mm}\hdots\hspace{-3mm} & q_n \\
\vdots & \vdots & \vdots
\end{pmatrix}
\begin{pmatrix}
-\langle q_1, a_1 \rangle & \langle q_1, a_2 \rangle & \hdots & \langle q_1, a_n \rangle \\
-0 & \langle q_2, a_2 \rangle & \hdots & \langle q_2, a_n \rangle \\
-\vdots & \vdots & \ddots & \vdots \\
-0 & 0 & \hdots & \langle q_n, a_n \rangle
+||\tilde q_1|| & \langle q_1, a_2 \rangle & \hdots & \langle q_1, a_n \rangle \\
+0 & \ddots & \ddots & \vdots \\
+\vdots & \ddots & \ddots & \langle q_{n-1}, a_n \rangle \\
+0 & \hdots & 0 & ||\tilde q_n||
\end{pmatrix}$$
\vspace*{-2mm}