Constrained local su¢ cient conditions
Obviously
(^)
F^0 (x 0 )(x x 0 )+o(kx x 0 k)
(^2)
(^)
F^0 (x 0 )(x x 0 )
(^2)
- +ko(kx x 0 k)k^2 +
2
F^0 (x 0 )(x x 0 ),o(kx x 0 k)
=
(^)
F^0 (x 0 )(x x 0 )
(^2)
+o
kx x 0 k^2