How to take into account complex numbers in ichol() function?

When using the function ichol() in Matlab to compute the incomplete Cholesky factorization it ignores the complex part of the matrix. That is, L = ichol(A) is equal to L = ichol(real(A)). Here, matrix A is a complex and sparse matrix.

Does anyone know how to resolve this issue?

[Steven Lord]

Can you post a small sample A that demonstrates this behavior?

[jeroen12389]

For example,

    [4      2+2i     2+2i
A =  2-2i   7        3-2i
     2-2i   3+2i     3    ]

                 [2      0         0
ichol(A)       =  1      2.45      0
                  1      0.817     1.16]

                 [2      0         0
ichol(real(A)) =  1      2.45      0
                  1      0.817     1.16]

                 [2       0        0
ichol(abs(A)) =   1.41    2.37     0
                  1.41    0.718    0.696]

Clearly, ichol(A) == ichol(real(A)), which is not what I expected.