diff --git a/nom-eme.py b/nom-eme.py
index b4e5dd0..2b89f8a 100644
--- a/nom-eme.py
+++ b/nom-eme.py
@@ -250,8 +250,27 @@ def connect_s(
     if k > A.shape[-1] - 1 or l > B.shape[-1] - 1:
         raise ValueError("port indices are out of range")
 
-    C = scipy.sparse.block_diag((A, B), dtype=complex)
-    return innerconnect_s(C, k, A.shape[0] + l)
+    #C = scipy.sparse.block_diag((A, B), dtype=complex)
+    #return innerconnect_s(C, k, A.shape[0] + l)
+
+    nA = A.shape[-1]
+    nB = B.shape[-1]
+    nC = nA + nB - 2
+    assert numpy.array_equal(A.shape[:-2], B.shape[:-2])
+
+    denom = 1 - A[..., k, k] * B[..., l, l]
+    Anew = A + A[..., k, :] * B[..., l, l] * A[..., :, k] / denom
+    Bnew = A[..., k, :] * B[..., :, l] / denom
+    Anew = npy.delete(Anew, (k,), 1)
+    Anew = npy.delete(Anew, (k,), 2)
+    Bnew = npy.delete(Bnew, (l,), 1)
+    Bnew = npy.delete(Bnew, (l,), 2)
+
+    dtype = (A[0, 0] * B[0, 0]).dtype
+    C = numpy.zeros(tuple(A.shape[:-2]) + (nn, nn), dtype=dtype)
+    C[..., :nA - 1, :nA - 1] = Anew
+    C[..., nA - 1:, nA - 1:] = Bnew
+    return C
 
 
 def innerconnect_s(