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karmarkar          Scilab Group          Scilab Function          karmarkar
NAME
   karmarkar - karmarkar algorithm
  
CALLING SEQUENCE
 [x1]=karmarkar(a,b,c,x0)
PARAMETERS
 a    : matrix (n,p)
      
 b    :  n - vector
      
 c    :  p - vector
      
 x0   :  initial vector
      
 eps  : threshold (default value : 1.d-5)
      
 gamma
       : descent step  0<gamma<1 , default value : 1/4
      
 x1   : solution 
      
 crit : value of  c'*x1
      
DESCRIPTION
   Computes x which minimizes
  
                         c'*x
   under constraints:
  
                         a*x = b
                         x>=0
EXAMPLE
 // n=10;p=20;
 // a=rand(n,p);c=rand(p,1);x0=abs(rand(p,1));b=a*x0;x1=karmarkar(a,b,c,x0);