From ea23793448806fdb48188cdd21334dc83971960f Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Gustavo=20Esp=C3=ADnola=20Mena?=
 <gustavoespinola1989@gmail.com>
Date: Wed, 11 Sep 2024 11:43:27 -0400
Subject: [PATCH] DOC: describing the search of new approx solution

---
 src/gmres_e.m | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/src/gmres_e.m b/src/gmres_e.m
index 25e9036..b19b45f 100644
--- a/src/gmres_e.m
+++ b/src/gmres_e.m
@@ -305,7 +305,9 @@
         gs = g(1:s);
         minimizer = Rs \ gs;
 
-        % Re-write last k vectors???
+        % Replace last k vectors from matrix V with the approximate 
+        % eigenvectors, and compute the new approximate solution, as done
+        % in step 4, p. 1161 of [1].
         V(:, m + 1:s) = dy(:, 1:k);
         x = xm + V * minimizer;