Simple Fixed-Point Iteration Method for Finding Roots of Equation

by admin in , , on April 10, 2019

Fixed-Point Iteration is a method of computing fixed points of iterated functions. More specifically, given a function f defined on the real numbers with real values and given a point x0 in the domain of f, the fixed point iteration is

which gives rise to the sequence x0, x1, x2 . . . which is hoped to converge to a point x. If f is continuous, then one can prove that the obtained x is a fixed point of f, i.e.,

More generally, the function f can be defined on any metric space with values in that same space. The down listed tips explain the process of roots finding using Simple-Fixed-Point-Iteration Method:

The code solves the following example:

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  • Released

    April 10, 2019

  • Last Updated

    May 29, 2019

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