2006Journal of Henan Polytechnic UniversityRequires access

Solving a Tpye of Fixed-Point Iteration Method

Juanmei Zhang

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Abstract

Fixed-Point Iteration method is an important technique to solve nonlinear equations for calculating approximate roots and applied widely.In this paper,we invesitgate on a type of fixed-point iteration method,which dosen't satisfies convergence conditions about iteration method,and propose four iteration methods to solve special equation.We also present an example and its C programme about these iteration methods.At last,we compare convergence speed and analyze the result of these iteration methods.

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What this paper is about

Fixed-Point Iteration method is an important technique to solve nonlinear equations for calculating approximate roots and applied widely.In this paper,we invesitgate on a type of fixed-point iteration method,which dosen't satisfies convergence conditions about iteration method,and propose four iteration methods to solve special equation.We also present an example and its C programme about these iteration methods.At last,we compare convergence speed and analyze the result of these iteration methods.

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Available abstract

Fixed-Point Iteration method is an important technique to solve nonlinear equations for calculating approximate roots and applied widely.In this paper,we invesitgate on a type of fixed-point iteration method,which dosen't satisfies convergence conditions about iteration method,and propose four iteration methods to solve special equation.We also present an example and its C programme about these iteration methods.At last,we compare convergence speed and analyze the result of these iteration methods.

Key concepts: Fixed-point iteration, Fixed point, Power iteration, Convergence (economics), Mathematics, Applied mathematics, Nonlinear system, Iterative method

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