(a) Construct a necessary and sufficient condition on solving the ball con strained (13.30). (b)...

(a) Construct a necessary and sufficient
condition on solving the ball con strained (13.30). (b) Develop a numerical
procedure to solve it using a Newton line search method.

(Non-convex?) Find the global maximum of
the dual function of

Show that although the objective function
is not convex, the dual function is concave. Find the optimal value and the
Lagrange multiplier.