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Multiusermultiple-input multiple-output (MIMO) systems are considered in this paper. Increasing interest in cooperative communication has made it of great significance to explore howto utilize, at multiple transmitters, the full multiuser channel state information, which is the collection of the channel state information between each of the users and the base station. Thus, we continue our research on uplink transmit beamforming design for multiple users inMIMO systems, assuming complete cooperation among users such that the full multiuser channel state information is known not only to the receiver but also to all the transmitters. We propose an algorithm for designing optimal beamforming weights in terms of maximizing the signal-to-interference-noise ratio (SINR). Through statistical modelling, we decouple the original mathematically intractable optimization problem and achieved a closed-form solution. As in our previous work, the minimum mean-squared error (MMSE) receiver with ordered successive interference cancellation (SIC) is adopted for multiuser detection. The proposed scheme is compared with the jointly optimized transceiver design and our previously proposed eigen-beamforming algorithm. Simulation results demonsrate that our algorithm, with much less computational burden than the jointly optimized approach, accomplishes either almost the same or even better performance than the jointly optimized transceiver for various MIMO channels, and always works better than our previously proposed algorithm.