diff --git a/ana8.pdf b/ana8.pdf index 4941680..ea52dcc 100644 Binary files a/ana8.pdf and b/ana8.pdf differ diff --git a/ana8.tex b/ana8.tex index 4dd29aa..4848566 100644 --- a/ana8.tex +++ b/ana8.tex @@ -45,7 +45,7 @@ \begin{proof} Es ist $\tilde A = \tilde A + A - A = (\tilde A - A) + A = A - (\underbrace{A^{-1} (\tilde A - A) + \mathbb{I}}_{=:B})$. Damit folgt + (\underbrace{A^{-1} (\tilde A - A) }_{=:B} + \mathbb{I})$. Damit folgt $\Vert B \Vert = \Vert A^{-1} (\tilde A - A) \Vert \le \Vert A^{-1} \Vert \cdot \Vert \tilde A - A \Vert < 1$. Mit \ref{lemma:stoerung} folgt $\mathbb{I} + A^{-1}(\tilde A - A)$ regulär. Da diff --git a/analysisII.pdf b/analysisII.pdf index 3314e5a..7cde7fd 100644 Binary files a/analysisII.pdf and b/analysisII.pdf differ