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authorAdrian Kummerlaender2017-02-16 20:47:16 +0100
committerAdrian Kummerlaender2017-02-16 20:47:16 +0100
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parent4a294746509c1b5ec387e70f42b286c982f04318 (diff)
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Add fractional variant of the matrix p-norm
-rw-r--r--content/numerik_1.tex2
1 files changed, 1 insertions, 1 deletions
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}