
chennaayayude dwaithatha

ganithashaasthra optimaiseshanil, philipp woolfinte peril ariyappedunna woolf duvality, vasthunishtamaaya pravartthanavum niyanthranangalum ellaam deferentiable functionukalaaya eratta prasnamaanu. durbalamaaya dwaithatha thathwam kaaranam eee ashayam upayogichu oru minimisation prashnathinu oru lover boundu kandethanakum.
ganithashaasthra roopeekaranam.
asamathva parimithikalulla oru laghookarana prashnathinaayi,
lagranchian eratta prashnam
ivide objective function lagranch duval functionaanu. formula _ 3, formula _ 4 enniva convex aayirikkukayum thudarchayaayi deferentiable aakukayum cheythaal, gradient poojyathinu thulyamaayidathaanu infimum sambhavikkunnath. prashnam 
ithine woolf duval problem ennu vilikkunnu. eee prashnam kekedi vyavasthakale oru parimithiyayi upayogikkunnu. koodaathe, samathwa niyanthrana soothravaakyam _ 6 pothuve nonleeniyar aanu, athinaal woolf duval prashnam oru nonkonveks opttimaiseshan prashnamaayirikkaam. enthaayaalum durbalamaaya dvaithathvam nilanilkkunnu.

