Iteration and Iterative Roots of Fractional Polynomial Function | Zendy

Xiaohua Liu | Zendy

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Iteration and Iterative Roots of Fractional Polynomial Function

Author(s) -

Xiaohua Liu

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/365956

Subject(s) - mathematics , computation , polynomial , iterative method , function (biology) , order (exchange) , simple (philosophy) , fractional calculus , mathematical optimization , mathematical analysis , algorithm , philosophy , finance , epistemology , evolutionary biology , economics , biology

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 different conditions. Furthermore, we also give iterative roots of order n for the function under two different conditions

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