Sensitivity, stability, and parametric analysis

This v o l u m e a p p e a r e d in J u n e 1984. In k e e p i n g wi th e s t ab l i shed prac t i ce , we br ief ly de sc r ibe its con ten t s . S tab i l i ty ana lys i s a n d p a r a m e t r i c p r o g r a m m i n g are o f great i m p o r t a n c e b o t h in t h e o r y and prac t ice , It s eems p laus ib le that a s ign i f ican t i m p e d i m e n t to the ex t ens ive use o f n o n l i n e a r p r o g r a m m i n g in a p p l i c a t i o n s is the lack o f s t a n d a r d i z e d userf r i end ly s o f t w a r e fo r c a l cu l a t i ng use fu l sens i t iv i ty and s tabi l i ty i n f o r m a t i o n . T h e r e m a r k a b l e d e v e l o p m e n t s o f the past d e c a d e have s h o w n tha t c h a r a c t e r i z a t i o n s o f o p t i m a l i t y and a l g o r i t h m i c c o n v e r g e n c e p rope r t i e s are s ign i f i can t ly e x t e n d e d a n d d e e p e n e d t h r o u g h a p e r t u r b a t i o n a l analys is . Typ ica l ly , a p a r a m e t r i c so lu t ion or e r ro r b o u n d s on a s o l u t i o n with p e r t u r b e d d a t a are o f grea t in teres t , b o t h in p rac t i ca l a p p l i c a t i o n s and in t heo re t i ca l cha rac t e r i za t i ons . S o m e o f the latest t heo re t i ca l resul ts in this vi ta l a rea o f m a t h e m a t i c a l p r o g r a m ming a p p e a r for the first t ime in the br i l l i an t c o l l e c t i o n o f pape r s tha t c o m p o s e this S tudy . M a n y bas i c resul ts are conc i se ly and a u t h o r i t a t i v e l y su rveyed . This v o l u m e s h o u l d p r o v i d e the m o s t c o m p r e h s n s i v e t r e a t m e n t o f r ecen t t h e o r e t i c a l resul ts cu r ren t ly a v a i l a b l e in this area. Au thor s , t i t les and abs t rac t s fo l low.