From 65baaeed7de685af941de6f8351474b0283a3b8b Mon Sep 17 00:00:00 2001
From: Alexis Montoison <alexis.montoison@polymtl.ca>
Date: Sat, 20 Apr 2024 03:14:00 -0400
Subject: [PATCH] Fix another equation in ipm.tex

---
 tex/sections/ipm.tex | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/tex/sections/ipm.tex b/tex/sections/ipm.tex
index 07b5c1d..dc6478e 100644
--- a/tex/sections/ipm.tex
+++ b/tex/sections/ipm.tex
@@ -248,8 +248,8 @@ \subsection{Solving the KKT conditions with the interior-point method}
   \tag{$K_1$}
   \setlength\arraycolsep{3pt}
   \begin{bmatrix}
-    K & G^\top \\
-    G & -\delta_c I \phantom{^\top}
+    K & \phantom{-} G^\top \\
+    G & -\delta_c I
   \end{bmatrix}
   \begin{bmatrix}
     d_x \\ d_y
@@ -273,7 +273,7 @@ \subsection{Solving the KKT conditions with the interior-point method}
 \end{equation}
 Using the solution of the system~\eqref{eq:kkt:condensed},
 we recover the updates on the slacks and inequality multipliers with
-$d_z = -C r_2 + D_H(H d_x + r_4)$ and $d_s = -(D_s + \delta_w I)^{-1}(r_2 - d_z)$.
+$d_z = -C r_2 + D_H(H d_x + r_4)$ and $d_s = -(D_s + \delta_w I)^{-1}(r_2 + d_z)$.
 Using Sylvester's law of inertia, we can prove that
 \begin{equation}
   \label{eq:ipm:inertia}