In this paper we present a new algorithm for mobile power updates in wireless CDMA systems. The algorithm in fact represents accelerated Jacobi iterations for mobile power updates of the algorithm popularly known as the DPC (distributed power control) algorithm. The new algorithm, with more rapid convergence, is obtained using Steffensen fixed-point iterations initialized by two Jacobi iteratio...

Let { y”} be a trajectory defined sequentially by a nonlinear vector difference equation y,,+ 1 = F”+ ,( y,) with y0 known. A Steffensen-like iterative method is proposed which starts from a guessed sequence {u:‘)} for the approximation of { yn) and allows certain computations to be performed in parallel. The sequence {u:““‘} is (k) obtained from {u, } by means of a formula of the form u,+, (kt...

In this paper, a family of Steffensen-type methods of optimal order of convergence with two parameters is constructed by direct Newtonian interpolation. It satisfies the conjecture proposed by Kung and Traub (J. Assoc. Comput. Math. 1974, 21, 634–651) that an iterative method based on m evaluations per iteration without memory would arrive at the optimal convergence of order 2m−1. Furthermore, ...