Consider the nonlinear system in Problem 99:
With auxiliary functions
use the fixed-point iteration method with initial estimate (2, −2), tolerance ε = 10−3 , and maximum 20 iterations to estimate one solution of the system.
First locate the roots graphically. Then find an approximate value for one of the roots using Newton’s method with initial estimate (4, 0), a terminating condition with ε = 10−4, and allow a maximum of 20 iterations.