  We consider the non-hermitian matrix-valued process of Elliptic Ginibre
ensemble. This model includes Dyson's Brownian motion model and the time
evolution model of Ginibre ensemble by using hermiticity parameter. We show the
complex eigenvalue processes satisfy the stochastic differential equations
which are very similar to Dyson's model and give an explicit form of overlap
correlations. As a corollary, in the case of 2-by-2 matrix, we also mention the
relation between the diagonal overlap, which is the speed of eigenvalues, and
the distance of the two eigenvalues.
