Iteration and Iterative Roots of Fractional Polynomial Function
نویسندگان
چکیده
منابع مشابه
Iteration and Iterative Roots of Fractional Polynomial Function
Iteration is involved in the fields of dynamical systems and numerical computation and so forth. The computation of iteration is difficult for general functions even for some simple functions such as linear fractional functions . In this paper, we discuss fractional polynomial function and use the method of conjugate similitude to obtain its expression of general iterate of order n under two di...
متن کاملIteration, Iterative Roots and Iterative Equations
Iteration exists extensively in the nature. Iteration of a homeomorphism generates a dynamical system. To embed such a homeomorphism into a flow we need to define fractional iteration and find iterative roots. The problem of iterative roots is to discuss iterative equations. This is a way to lead us to explore the mathematics of iteration. Iteration is a basic concept in the theory of dynamical...
متن کاملOn the Roots of Hosoya Polynomial of a Graph
Let G = (V, E) be a simple graph. Hosoya polynomial of G is d(u,v) H(G, x) = {u,v}V(G)x , where, d(u ,v) denotes the distance between vertices u and v. As is the case with other graph polynomials, such as chromatic, independence and domination polynomial, it is natural to study the roots of Hosoya polynomial of a graph. In this paper we study the roots of Hosoya polynomials of some specific g...
متن کاملFractional Iteration of Series and Transseries
We investigate compositional iteration of fractional order for transseries. For any large positive transseries T of exponentiality 0, there is a family T [s] indexed by real numbers s corresponding to iteration of order s. It is based on Abel’s Equation. We also investigate the question of whether there is a family T [s] all sharing a single support set. A subset of the transseries of exponenti...
متن کاملChaotic iteration for polynomial constraints
In this paper we argue for an alternative way of designing solvers based on interval arithmetic. We achieve constraint propagation over real numbers using chaotic iteration, a general and basic technique used for computing limits of iterations of nite sets of functions. This is carried out in two steps: rst involving computationally \cheap" functions for reducing constraint satisfaction problem...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2012
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2012/365956