From 719f6c214836033946b52a2b69835e6a2d8f2a28 Mon Sep 17 00:00:00 2001
From: Jishnu Bhattacharya <jishnub.github@gmail.com>
Date: Sun, 30 Mar 2025 13:08:37 +0530
Subject: [PATCH] Check approx equality in bunchkaufman docstring

---
 src/bunchkaufman.jl | 12 ++++--------
 1 file changed, 4 insertions(+), 8 deletions(-)

diff --git a/src/bunchkaufman.jl b/src/bunchkaufman.jl
index a44f1a1c..17fa6512 100644
--- a/src/bunchkaufman.jl
+++ b/src/bunchkaufman.jl
@@ -182,10 +182,8 @@ julia> d, u, p = S; # destructuring via iteration
 julia> d == S.D && u == S.U && p == S.p
 true
 
-julia> S.U*S.D*S.U' - S.P*A*S.P'
-2×2 Matrix{Float64}:
- 0.0  0.0
- 0.0  0.0
+julia> S.U * S.D * S.U' ≈ S.P * A * S.P'
+true
 
 julia> S = bunchkaufman(Symmetric(A, :L))
 BunchKaufman{Float64, Matrix{Float64}, Vector{Int64}}
@@ -202,10 +200,8 @@ permutation:
  2
  1
 
-julia> S.L*S.D*S.L' - A[S.p, S.p]
-2×2 Matrix{Float64}:
- 0.0  0.0
- 0.0  0.0
+julia> S.L * S.D * S.L' ≈ A[S.p, S.p]
+true
 ```
 """
 bunchkaufman(A::AbstractMatrix{T}, rook::Bool=false; check::Bool = true) where {T} =