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Wireless applications based on subscriber location information have been receiving more attention these years, which makes radio location techniques one of the most popular research areas of cellular networks. Taylor series expansion (TSE) method has been widely used in solving nonlinear equations for its high accuracy and good robustness. Since the performance of TSE depends highly on the initial estimation, a new algorithm based on least squares is proposed to estimate the initial value and the subscriber location can be further estimated by TSE. The proposed algorithm, as well as several other algorithms, is simulated and analyzed.