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In this paper, an effective technique is proposed for locating a mobile station's position when the range measurements are corrupted by non-line-of-sight (NLOS) errors. By linearizing the inequality of range models incorporating NLOS errors and adding loose variables, the method first acquires a preliminary estimation that relies on an initial value. After addressing the effect of linearization error and analyzing the preliminary estimation, a noniterative estimator that does not need an initial value is deduced. The method does not require knowledge of NLOS error statistics. Simulation results indicate that the proposed algorithm can restrain the NLOS errors and improve location accuracy.