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Thread View: sci.math.num-analysis
2 messages
2 total messages Started by Ossama Ismaeil Thu, 05 Nov 1992 19:53
Non-linear Inequality Constraint
#677
Author: Ossama Ismaeil
Date: Thu, 05 Nov 1992 19:53
21 lines
895 bytes

Hello !

   I wondered if any one can tell me about any method to solve an obtimization
   problem that has a non linear optimization function and non-linear 
   inequality constraints. The problem can be described as 

                  T
           Min   X  X  

      S.T         T 
                 X A X <= 0
                
  wher X is a vector and A is a square indefinite matrix.

  I would really appreciate it ver much. Thanks.


  Ossama
  e-mail   "ismaeil@qucis.queensu.ca"
Re: Non-linear Inequality Constraint
#723
Author: Richard Simard
Date: Mon, 09 Nov 1992 17:16
21 lines
1221 bytes
In article <1992Nov5.195334.774@qucis.queensu.ca> ismaeil@qucis.queensu.ca (Ossama Ismaeil) writes:
>
>   I wondered if any one can tell me about any method to solve an obtimization
>   problem that has a non linear optimization function and non-linear 
>   inequality constraints. The problem can be described as 
>
>                  T
>           Min   X  X  
>
>      S.T         T 
>                 X A X <= 0
>                
>  wher X is a vector and A is a square indefinite matrix.
>
It seems to me that the min. solution here is X = 0
For the general case, you could use a Lagrangian method
and apply the Kuhn-tucker conditions.


--
From:  simardr@iro.umontreal.ca
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