Purchase Solution

Numerical Methods: Fixed-Point Iteration

Not what you're looking for?

Ask Custom Question

Please show each step of your solution and tell me the theorems, definitions, etc. if you use any.

Let g(x) = 0.5x + 1.5 and p0 = 4, and consider fixed-point iteration.
a) Show that the fixed point is P=3
b) Show that |P - Pn| = |P - Pn-1|/2 for n = 1, 2, 3...
c) Show that |P - Pn| = |P - P0|/2^2 for n = 1, 2, 3...

Purchase this Solution
Solution Summary

This is a problem regarding fixed-point iteration that is solved with all calculations shown, in the handwritten attached picture file.

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

View More Free Quizzes
Related BrainMass Solutions

  • Fixed Point Iteration Method

    96116 Numerical Analysis - Fixed Point iteration method. Fixed Point iteration method. Use a fixed-point iteration method to find an approximation to that is accurate within 10-4 See attached file for full problem description.

  • Jacobi and Gauss-Seidel iteration

    45231 Jacobi and Gauss-Seidel iteration The problem is from Numerical Methods. Please show each step of your solution and tell me the theorems, definitions, etc. if you use any. Thank you.

  • The answer to Fixed-point iteration

    345443 The answer to Fixed-point iteration If the fixed-point iteration is applied to the function F(x) = 2 + (x-2)^4, starting at x = 2.5, what order of convergence results?

  • Fixed Point Iterations Formulas

    508825 Fixed Point Iteration Formulas The real root of x^3 - x - 1 is about 1.3. a) Construct a fixed point iteration formula for finding the root and prove that the formula will work.

  • Advance Engineering Maths

    For the convergence of any fixed point iteration we need the necessary condition that .

  • Catenary Equation of a hose.

    methods to find the roots.

  • Fixed Point Iterations

    (c) Consider the following fixed point iteration for finding a solution of the given equation: Xn+1 = 2 + 3 ln Xn: (i) Show that this fixed point iteration converges to B for all X0 is in [6.5,9.5].

  • Fixed Point Iteration Problem Using Matlab

    58834 Fixed Point Iteration Problem Using Matlab Given the function f(x) =1 + 0.5 sin x, show that it has a unique fixed point x* in the interval I=[0,2] and that the iterations xn+1=f(xn) converge to the fixed point for any x0 Є I.

  • Fixed Point : Fixed-Point Iteration and Error Estimate

    49740 Fixed Point : Fixed-Point Iteration and Error Estimate Please see the attached file for the fully formatted problem. Please see the attached file for the complete solution. Thanks for using BrainMass. Proof.

View More Related Solutions