Numerical analysis Exercise 2.We consider the function g defined for any real r in the interval (0, 1], by g(z) =1. Prove that the Fixed point algorithm z"+ = g(z"), with ro =equation z =z+1I+21 is convergent and that theg(z) have a solution.

We have given g(x)=x+1x+2 on [0,1]we know that g(x) is continuous in [a,b] that contains root and…

Exercise 2. We consider the function g defined for any real r in the interval (0, 1], by g(x) = I+2 I+1 %3! 1. Prove that the Fixed point algorithm z"+ = g(z"), with zo =1 is convergent and that the equation z = %3! g(z) have a solution.

Exercise 2. We consider the function g defined for any real r in the interval (0, 1], by g(x) = I+2 I+1 %3! 1. Prove that the Fixed point algorithm z"+ = g(z"), with zo =1 is convergent and that the equation z = %3! g(z) have a solution.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Numerical analysis

Exercise 2.
We consider the function g defined for any real r in the interval (0, 1], by g(z) =
1. Prove that the Fixed point algorithm z"+ = g(z"), with ro =
equation z =
z+1
I+2
1 is convergent and that the
g(z) have a solution.

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