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SUMMARYSystem capacity is the paramount requirement in the design of code division multiple access (CDMA) cellular systems. Power control to mobiles is an essential tool used to maximise the system capacity by minimising interference while at the same time maintaining transmission quality. The convergence speed of power control algorithm is critical in determining its practical application especially when the propagation and traffic condition are rapidly changing. In this letter, a new centralised power control algorithm is proposed to solve the power control problem by using symmetric successive overrelaxation (SSOR) preconditioned generalised product-type bi-conjugate gradient (GPBi-CG) iteration method. The simulation results show that our proposed algorithm has much faster convergent rate than the distributive constrained second-order power control (CSOPC) and constrained Gauss-Seidel (CGS) algorithm. The fast convergent speed can increase the overall network capacity.