A GPS Position Algorithm without Using Inverse Matrix

By using the nonlinear least-squares approach, an equation about the user position is educed, and in succession, the equation is transformed into an iteration equation to resolve the user position. An iteration algorithm is proposed to solve user position. Based on a simple estimation of the user position, an initial user position is given. Simulation results show the effectiveness of the proposed iteration algorithm. Simultaneity, it has been proven by simulation that the convergence speed of iteration equation can be improved obviously after the initial user position is chosen.