From 01139588cc07ba6aedf1bf09fce7f77ed966925a Mon Sep 17 00:00:00 2001
From: ShawnL00 <63332547+ShawnL00@users.noreply.github.com>
Date: Mon, 23 Mar 2026 12:05:00 -0500
Subject: [PATCH] Update sufficient condition to positive definite

---
 notes/notes.org | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/notes/notes.org b/notes/notes.org
index 913c734..eae8313 100644
--- a/notes/notes.org
+++ b/notes/notes.org
@@ -4184,7 +4184,7 @@ Assume \(f\) is smooth, i.e. has all needed derivatives.
   - Necessary: \(\nabla f (\B{x}^\ast ) = 0\) (i.e.
     \(\B{x}^\ast\) is an extremal point)
 
-  - Sufficient: \(\nabla f (\B{x}^\ast ) = 0\) and \(H_f         (\B{x}^\ast )\) positive semidefinite
+  - Sufficient: \(\nabla f (\B{x}^\ast ) = 0\) and \(H_f         (\B{x}^\ast )\) positive definite
 
     (implies \(x^\ast\) is a local minimum)