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A suboptimum search algorithm to suppress the interference level in conjunction with a primary stage of iterative linear multiuser detector for the mobile uplink is proposed. The initial stage is improved through analytical analysis. The structure of the iterative method and the suboptimum search algorithm are well suited together and makes them collaboratively work without encountering a high level of complexity. Considering the power profile of the users in the suboptimum search algorithm leaded to even less complexity, yet keeping the performance almost the same. The performance of the structure is obtained by simulations and has been compared to parallel interference cancellation method.