Let g(x) = x + c(x 2 2), which has the fixed-point p = 2 1.4142. Pick a value for c to ensure the convergence of fixed-point iteration. For the picked value c, determine the interval of convergence I = [a, b], that is, the interval for which any p0 from the interval gives rise to a converging fixed-point iteration.

(b) Write a compute code to test your results from part (a). Display n and pn in two columns with headers. Perform at least 10 iterations. Use a stopping criteria and tolerance 108 . (THIS PART IN MATLAB PROGRAM)