From 21cf519e7d527c71d771b7e8d56cb8b5c46b0bf3 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Kevin=20H=C3=B6llring?= <kevin.hoellring@fau.de>
Date: Tue, 26 Nov 2019 03:25:06 +0100
Subject: [PATCH] Fix sign error

---
 instructions/exercise_4.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/instructions/exercise_4.tex b/instructions/exercise_4.tex
index 543fdf4..901bbe1 100644
--- a/instructions/exercise_4.tex
+++ b/instructions/exercise_4.tex
@@ -229,7 +229,7 @@ in your command line/shell before executing your program.
 			\item Calculate the Hesse matrix once and store its value:
 			$$H_k= \nabla^2f(x_k)$$
 			\item Calculate the step size:
-			$$\alpha_k = \frac{\left\langle g_k, d_k\right\rangle}{\left\langle d_k, H_k \cdot d_k\right\rangle}$$
+			$$\alpha_k = -\frac{\left\langle g_k, d_k\right\rangle}{\left\langle d_k, H_k \cdot d_k\right\rangle}$$
 			\item Update the current position:
 			$$x_{k+1} = x_k +\alpha_k \cdot d_k$$
 			\item Calculate the next gradient: 
-- 
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