From 12a983378135d0e78c709041b4c43722d10b5b3b Mon Sep 17 00:00:00 2001
From: Adrian Kummerlaender
Date: Thu, 16 Feb 2017 20:47:16 +0100
Subject: Add fractional variant of the matrix p-norm

---
 content/numerik_1.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

(limited to 'content/numerik_1.tex')

diff --git a/content/numerik_1.tex b/content/numerik_1.tex
index f4d14eb..a4659c2 100644
--- a/content/numerik_1.tex
+++ b/content/numerik_1.tex
@@ -106,7 +106,7 @@ Submultiplikativität: $\|AB\| \leq \|A\| \cdot \|B\|$
 Induzierte Matrixnorm bei Wahl der $p$-Normen über $\K^n$ bzw. $\K^m$:
 
 \vspace*{-4mm}
-$$\|A\|_p := \max_{\{v \in \K^n | \|v\|_p = 1 \}} \|Av\|_p \text{ für } 1 \leq p \leq \infty$$
+$$\|A\|_p := \max_{v \in \K^n} \frac{\|Av\|_p}{\|v\|_p} = \max_{\|v\|_p = 1} \|Av\|_p \text{ für } 1 \leq p \leq \infty$$
 
 \subsubsection*{Spaltensummennorm}
 
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