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- Let
be twice continuously differentiable on
.
- Define local and global minimum for
.
- Define Newton's method for minimization of
.
- Show that the function
defined on
by
has a unique global minimizer at
but that, for any nonzero initial
point
, the Newton's Method sequence
with
initial point
for minimizing
diverges.
Henry Wolkowicz
2001-02-28