Abstract: This paper studies joint beamforming and power allocation for maximizing the minimum signal-to-interference-plus-noise ratio optimization problem in multi-cell multiuser multiple-input single-output downlink network. To solve the original downlink non-convex optimization problem, the original optimization problem is transformed into an equivalent uplink optimization problem. Although the beamformer and power allocation can be obtained by the iterative algorithm in the finite system, it depends on the instantaneous channel state information which requires instantaneous power update. To reduce the complexity of power updating, an algorithm that only requires statistical channel state information is designed to derive power allocation by applying the random matrix theory. Numerical results validate the effectiveness of our proposed algorithm and show the advantages of our proposed algorithm over maximal-ratio transmit in the single base station power constraint.