In the study of systems’ dynamics presence symmetry dramatically reduces complexity, while in chemistry, plays a central role analysis structure, bonding, and spectroscopy molecules. more general context, principle equivalence, local symmetry, dictated gravity, space-time itself. certain instances, especially we end up having to deal with an equation multiple roots. A variety optimal methods ha...

Some recent and classical integral inequalities are extended to the general timescale calculus, including the inequalities of Steffensen, Iyengar, Čebyšev, and Hermite-Hadamard.

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...

For iteration sequences otherwise converging linearly, the proposed one-point extrapolation method attains a convergence rate and efficiency of 1.618. This is accomplished by retaining an estimate of the linear coefficient from the previous step and using the estimate to extrapolate. For linear convergence problems, the classical Aitken-Steffensen 6 -process has an efficiency of just -J2, while...