Explore BrainMass
Share

Fixed point iteration, unique solution converge

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Show that for any constants c and d, |d| < 1, the equation x = c + d cos (x) = g(x) has a unique solution alpha. In addition, show that the iteration x_n+1 = c + d cos (x_n) will converge to alpha. Bound the rate of convergence.

© BrainMass Inc. brainmass.com March 22, 2019, 12:38 am ad1c9bdddf
https://brainmass.com/math/numerical-analysis/fixed-point-iteration-unique-solution-converge-507498

Attachments

Solution Preview

Hello and thank you for posting your question to BrainMass.
The solution is attached below in ...

Solution Summary

This solution helps with a problem involving fixed point iteration and unique solution coverage.

$2.19