In previous works on simultaneous wireless information and power transfer (SWIPT) multiple-input single-output (MISO) system with multiple users, beamforming requires all the transmitters know the channel state information (CSI) of the whole system. We relax it so that it is a practical assumption: Each transmitter only knows its own CSI to all the receivers, combined with individual power constraints at transmitters and signal-to-interference-plus-noise ratio (SINR) constraints at information receivers. The objective is to maximize the total harvested energy at the energy receivers. An improved version of the alternating direction method of multipliers is proposed. In particular, we split an optimization problem with nonconvex constraints into iterations of several singular value decomposition (SVD) problems and prove the convergence. Simulation results show that our algorithm achieves less computational complexity and control channel budget with acceptable performance degradation when compared with a centralized solution.