fixed point iteration sequences examples Archives

Prove fixed point iteration sequence x(n+1)=g(x(n)) converges for all initial guess x0 for g(x)=cos(x)-1

By SK Math Expert February 12, 2021Advanced Math, Numerical Analysisfixed point iteration sequences examples

Introduction : This question is all about to verifying conditions of fixed point theorem that guarantee that fixed point iteration sequence x(n+1)=g(x(n)) converges for all initial guess x0 to solve…

For what values of initial guess x0 does the fixed point iteration sequence converges to the root?

By SK Math Expert February 12, 2021Advanced Math, Mechanical Engineering, Real Analysisfixed point iteration sequences examples

Introduction : In the following question, we apply fixed point theory to determine for what values of initial guess does the fixed point iteration sequence converges to the root as…