From f1837beb1b2c135e23586c79fd60414af23a8d8c Mon Sep 17 00:00:00 2001
From: Adrian Kummerlaender
Date: Tue, 13 Sep 2016 20:03:16 +0200
Subject: Fix Iwasawa decomposition scheme

---
 lineare_algebra.tex | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

(limited to 'lineare_algebra.tex')

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}
-- 
cgit v1.2.3

