🚀 go-pugleaf

G'day to all symbolic netters,

I'm seeking assistance on anyone who has experience with or have
come across references regarding symbolic programming using Fortran 
77 . 

I know that a common method of symbolic programming is to use 
pointer structures which Fortran 77 do not support. 

I have at present a Fortran program which is numerically intensive 
at the moment. I need to add a section to that program which is 
unfortunately symbolically intensive. The requirements of the 
symbolically intensive portion are as follows :

Essentially to find out the symbolic expressions for the partial 
derivatives of  

    w(T) . Q . w  

where

   (T) denotes transpose of a vector or matrix

    w is a vector whose elements consists of different variables
    eg : w = [2 , 2a+b, a^2, b^4, 3a , 4c-a, 4, 5.6 ](T)

    Q is a matrix whose elements are similar to the elements in w,
    ie , they can be symbolic elements or purely numerical entries

Help is needed on how to program in Fortran 77 to solve the following 
problems :

a) How to represent these vector structures and matrix structures
   elegantly.

b) Perform matrix operation (ie multiplications, additions, subtraction) 
   properly on these structures

c) Sort the variables out ,say, in ascending orders of the variable 'a',
   followed by variable 'b' and finally in variable 'c' .

d) Obtaining the partial derivatives of  w(T) . Q . w  wrt variables 'a'
   'b'  and  'c' .

 
I would really appreciate anyone who can provide info on the above
problems . You can contact me at ...

  
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                 Ian Thng  - Forever Trying to be Young  
                 Email:thng@atri.curtin.edu.au
                 Adaptive Signal Processing Laboratory
                 Australian Telecommunications Research Institute
                 Curtin University of Technology
                 Ph :  +61-9-3513270
                 Fax : +61-9-3513244 
                 Bothered with seat belts ? Ride a Harley Mate !
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A thousand thanx in advance to all who can help me out !