From 46afdf334aef9b307a9aa8a45a05b4907bdccfa3 Mon Sep 17 00:00:00 2001 From: Chun Cai Date: Sun, 28 Apr 2024 16:01:40 +0800 Subject: [PATCH] Fix typo in Cauchy-Schwarz inequality --- overview-optconv.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/overview-optconv.md b/overview-optconv.md index 084a5ee..2ec0d0e 100644 --- a/overview-optconv.md +++ b/overview-optconv.md @@ -63,7 +63,7 @@ $$f(x+\Delta) = f(x) + \int_0^1 \text{d}s ~ f'(x+s \Delta) \Delta \ . $$ In addition, we'll make use of Lipschitz-continuity with constant $\mathcal L$: $|f(x+\Delta) + f(x)|\le \mathcal L \Delta$, and the well-known Cauchy-Schwartz inequality: -$ u^T v < |u| \cdot |v| $. +$ u^T v \le |u| \cdot |v| $. ## Newton's method