Homework 3

due: March 24

Solve the following problems.

Problem Set 3:  1(b), 2, 3, 4. In Problem #4 perform one iteration only.

Additional Problem:   Consider the problem of minimization of the function  f(x,y) = x^2+ y^2- x^4- y^4- 1. For what values of the initial guess (x0, y0) Newton's method will fail to compute critical point(s) of f ?