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In numerical analysis, fixed-point iteration is a method of computing fixed points of a function.
Learn how to use the fixed point iteration method to find approximate solutions to algebraic and transcendental equations. See the definition, steps, formula, and examples with solutions and practice problems.
Learn how to use fixed point iteration to find roots of a function by transforming it into a fixed point problem. See the convergence condition, the contraction mapping theorem, and some examples and exercises.
Learn how to solve equations in one variable using fixed point iterations, a method that converts the equation to the form x = g(x) and iterates with xn+1 := g(xn). See examples, graphs, and analysis of different functions g(x) and their rates of convergence.
Learn what is a fixed point of a function and how to use fixed-point iteration to find roots of a function. See examples, theorems and conditions for convergence and uniqueness of fixed points.
Fixed-point iteration. In this section, we consider the alternative form of the rootfinding problem known as the fixed-point problem. Definition 4.2.1: Fixed-point problem. Given a function \ (g\), the fixed-point problem is to find a value \ (p\), called a fixed point, such that \ (g (p)=p\).
Learn how to find fixed points of a function using iterative algorithms, and how to prove their existence and uniqueness. See examples of fixed point iteration for real functions, and how to implement them in R.
