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This paper presents an efficient algorithm to solve the radial distribution power flow problem in complex mode. The relationship between the complex branch powers and bus powers is established as a non singular square matrix known as element incidence matrix. The power flow equations are rewritten in terms of a new variable as complex linear recursive equations. The linear equations are solved to determine the bus voltages, currents in terms of new variable as complex numbers. The advantage of this algorithm is that it does not need any initial value for voltages and easier to develop the code since all the equations are expressed in matrix format. It is tested on the distribution systems available in the literature. This proposed method can be applied to distribution systems having voltage controlled buses also. The results prove the efficiency of the proposed method.