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Unformatted text preview: 1 &V•“ ‚>¢‚“ ¸> ¸ “*& 2 1& & ¡j∕ &*¡ ) ( ) ( . . ) ( min ≤ = x h x g t s x f x h p n m n n R R h R R g R R f → → → : , : , : “ f,g,h “* f,g,h s 3 & ¡˙L 4 4 3 2 4 ) , ( , ) ( , ) ( , ) ( y xy x y x f e x f x x f x x f x +- = = = = S & ¡˙L f f S & ¢ f n R S ⊆ f “ •s ¢ f , S ¡ “ * f +∞ = ∞ → ) ( lim || || x f x n R S ⊆ “ f £ X coercive, f& n R S ⊆ & f & ¢ j ∕ £ coercive, f f f S ¡ ?K ‚ “ 4 8&a¡“* ¢ &*¡ J‹D¡ ¢¢¢ @K‹ 8&a¡ “ 8&a¡ “*¡ n ¡ ‘¢ critical points, f& ) ( = ∇ x f n R S ⊆ i i x x f x f ∂ ∂ = ∇ / ) ( )} ( { ) & f 8 a ¡ “ x* f S 8 ¢ a ¡ “ £&& f , & , & x* f& f , critical points ( 8 ¢ A ¡ “ £& Critical points saddle points 5 [email protected]&“* 1¡ f &*¡ f , Hessian f f& && critical points f&& j i ij f x x x f x H ∂ ∂ ∂ = / ) ( )} ( { 2 ) critical points x*, f& ) ( x H f @ b ¡ “ ¢ x* f&&& h @ b ¡ “ ¢ x* f&&& f&&& x* f saddle points & £ j ∕ & ¢&&& &&&& 6...
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## This note was uploaded on 12/10/2009 for the course EE EE381 taught by Professor Guijinwang during the Spring '08 term at Tsinghua University.

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11-2-æ��ä¼�å��é�®é¢�(11)bukao - 1...

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