diff --git a/NEWS.md b/NEWS.md
index fed308639b9a3..8d90f9c39f514 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -89,6 +89,9 @@ Standard library changes
 
 #### LinearAlgebra
 * `cbrt(::AbstractMatrix{<:Real})` is now defined and returns real-valued matrix cube roots of real-valued matrices ([#50661]).
+* `eigvals/eigen(A, bunchkaufman(B))` and `eigvals/eigen(A, lu(B))`, which utilize the Bunchkaufman (LDL) and LU decomposition of `B`,
+   respectively, now efficiently compute the generalized eigenvalues (`eigen`: and eigenvectors) of `A` and `B`. Note: The second
+   argument is the output of `bunchkaufman` or `lu` ([#50471]).
 
 #### Printf