This paper presents an effective excitation synthesis algorithm of phased arrays of antennas to optimize the radiation patterns under minimum mutual coupling/induction interferences between two nearby arrays. The optimization goal is to minimize the inter-array interferences in an attempt to retain their radiation beam characteristics. Furthermore, a cost function is defined to reduce the inter-array reaction and the excitation weighting deviations from the desired ones for directional beam radiations by embedding a coupling reduction factor (CRF). The resulting solutions are in a simple closed-form for easy implementation. Besides, the mutual coupling/induction mechanisms are effectively interpreted using the singular-value decomposition (SVD) method to create an eigenspace for signal representations and the complementary null space. Finally, theoretical and numerical full-wave simulation examples are presented to validate the proposed mutual coupling/induction suppression method.