  In this paper we give conditions on a matrix which guarantee that it is
similar to a centrosymmetric matrix. We use this conditions to show that some
$4 \times 4$ and $6 \times 6$ Toeplitz matrices are similar to centrosymmetric
matrices. Furthermore, we give conditions for a matrix to be similar to a
matrix which has a centrosymmetric principal submatrix, and conditions under
which a matrix can be dilated to a matrix similar to a centrosymmetric matrix.
