diff --git a/ana7.pdf b/ana7.pdf index 94d36db..2b28862 100644 Binary files a/ana7.pdf and b/ana7.pdf differ diff --git a/ana7.tex b/ana7.tex index d6845cd..8df9444 100644 --- a/ana7.tex +++ b/ana7.tex @@ -172,7 +172,7 @@ Weitere Begriffe und Eigenschaften (Qx, Qy)_2 &= (x, \overline{Q}^TQ y)_2 = (x,y)_2\\ \norm{Qx}_2^2 &= (Qx, Qx)_2 = (x,x)_2 = \norm{x}_2^2\\ \norm{Q}_2 &= \sup\limits_{\norm{x}_2 =1} \norm{Qx}_2 = \sup\limits_{\norm{x}_2 =1} \norm{x}_2 = 1\\ - \norm{Q^{-1}}_2 &= \sup\limits_{\norm{x}_2 =1} \norm{Q^{-1}x}_2 = \sup\limits_{\norm{x}_2 =1} \norm{\overline{Q}Q^{-1}x}_2 = \sup\limits_{\norm{x}_2 =1} \norm{x}_2 = 1 + \norm{Q^{-1}}_2 &= \sup\limits_{\norm{x}_2 =1} \norm{Q^{-1}x}_2 = \sup\limits_{\norm{x}_2 =1} \norm{QQ^{-1}x}_2 = \sup\limits_{\norm{x}_2 =1} \norm{x}_2 = 1 \end{align*} \end{enumerate} \end{proof} diff --git a/analysisII.pdf b/analysisII.pdf index c73363c..4a50d70 100644 Binary files a/analysisII.pdf and b/analysisII.pdf differ