Morrison ’s method. Suppose the (a) Show that if M = f (x * ), a solution to (13.53) is a solution..

Morrison ’s method. Suppose the

(a) Show that if M = f (x∗), a solution to (13.53)
is a solution to (13.52).

(b) Show that if
xM is a solution to (13.53), then f (xM) f (x∗)

(c) Show that if Mk f (x∗) then Mk+1 determined by (13.54) satisfies Mk+1 f (x∗).

(d) Show that Mk → f (x∗). (e) Find the Hessian of v(M, x) (with respect to x∗). Show that, to within a scale factor, it is identical to that
associated with the standard penalty function method