‎In this paper‎, ‎we present a new modification of Newton's method‎ ‎for finding a simple root of a nonlinear equation‎. ‎It has been‎ ‎proved that the new method converges cubically‎.

We construct an analog of Steffensen’s method for solving nonlinear operator equations. Proposed method is a kind of two stage iterative process. We study the order of convergence of the method. It is shown that the proposed analog of Stefensen’s method, which does not use derivatives, has higher order of convergency then Newton method, other generalizations of chord method or other known modif...

This paper proposes two nonlinear blind equalizers: the nonlinear constant modulus algorithm (NCMA) and the nonlinear modified constant modulus algorithm (NCMA) by applying a nonlinear transfer function (NTF) into constant modulus algorithm (CMA) and modified constant modulus algorithm (MCMA), respectively. The effect of the NTF on CMA and MCMA is theoretically analyzed, which implies that the ...

The convergency of iterative processes can exhibit unexpected behaviours. In this paper an analysis of the convergency of the iterative processes is made through the application of the Newton method to the polynomial equations resolution. This leads to the deenition of a dynamic relaxation scheme applied to computer graphics

This paper presents a learning theoretic analysis on stability of learning in light of iterated belief revision. We view a learning process as a sequential belief change procedure. A learning policy is sought to guarantee every learning process leads to a complete knowledge about the world if the newly accepted information is the true fact on the world. The policy allows an agent to abandon the...

In this paper, for the numerical approximation of random partial differential equations (RPDEs) of parabolic type, an explicit higher order finite difference scheme is constructed. In continuation the main properties of deterministic difference schemes, i.e. consistency, stability and convergency are developed for the random cases. It is shown that the proposed random difference scheme has thes...