From f703c069c4eaf592d321a1d24b5f9f553ce561b5 Mon Sep 17 00:00:00 2001
From: Maxence Gollier <134112149+MaxenceGollier@users.noreply.github.com>
Date: Fri, 23 Jan 2026 10:52:02 -0500
Subject: [PATCH 1/2] Update descriptions for BFGS and SR1 operators

Separated the description of BFGS and SR1.
Added an explanation of why the inverse form of the SR1 is not implemented.
---
 tutorials/introduction-to-linear-operators/index.md | 7 +++++--
 1 file changed, 5 insertions(+), 2 deletions(-)

diff --git a/tutorials/introduction-to-linear-operators/index.md b/tutorials/introduction-to-linear-operators/index.md
index bfdfd3f6..3d4025cb 100644
--- a/tutorials/introduction-to-linear-operators/index.md
+++ b/tutorials/introduction-to-linear-operators/index.md
@@ -326,7 +326,7 @@ norm(b - opAAT * x)
 
 ## Limited memory BFGS and SR1
 
-Two other useful operators are the Limited-Memory BFGS in forward and inverse form.
+Another useful operator is the Limited-Memory BFGS in forward and inverse form.
 
 ```julia
 B = LBFGSOperator(20)
@@ -351,7 +351,10 @@ r
 
 
 
-There is also a LSR1 operator that behaves similarly to these two.
+There is also a Limited-Memory SR1 operator for which only the forward form is implemented.
+Note that the SR1 operator can be indefinite, therefore its inverse does not necessarily exist.
+For this reason, the inverse form is not implemented for the SR1 operator.
+
 
 ## Restriction, extension and slices
 

From a328577a78c450bc8d3a6767aed34768ddb05b04 Mon Sep 17 00:00:00 2001
From: Maxence Gollier <134112149+MaxenceGollier@users.noreply.github.com>
Date: Fri, 23 Jan 2026 11:10:18 -0500
Subject: [PATCH 2/2] Update SR1 operator inverse form explanation

Clarify the relevance of the inverse form for the SR1 operator compared to BFGS.
---
 tutorials/introduction-to-linear-operators/index.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/tutorials/introduction-to-linear-operators/index.md b/tutorials/introduction-to-linear-operators/index.md
index 3d4025cb..aad0bcfc 100644
--- a/tutorials/introduction-to-linear-operators/index.md
+++ b/tutorials/introduction-to-linear-operators/index.md
@@ -352,7 +352,7 @@ r
 
 
 There is also a Limited-Memory SR1 operator for which only the forward form is implemented.
-Note that the SR1 operator can be indefinite, therefore its inverse does not necessarily exist.
+Note that the SR1 operator can be indefinite; therefore, its inverse form is less relevant than for the BFGS approximation.
 For this reason, the inverse form is not implemented for the SR1 operator.