Recently, to improve the capacity of cell-edge user, Interference Alignment (IA) is an intense research interest. The authors focus on the IA extended to the Multiple-Input Multiple-Output (MIMO) interference network. In this method, each coordinated transmitter generates the beamforming vector to align interference from different transmitters into confined subspace at each receiver. Then, using Singular Value Decomposition (SVD) with the relative magnitude coefficients, transmitters calculate the beamforming vectors and the received vectors. However, this method cannot decide the value of the relative magnitude coefficients so that the system capacity is improved, because it is necessary to solve non-linear function of multivariable.