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Topic: underdetermind equations
Replies: 0

 Austin Posts: 2 From: Worcestershire, UK Registered: 11/5/08
underdetermind equations
Posted: Nov 5, 2008 1:57 PM

hi,

If posted this on another site, but I wondered if anyone here can help me. If I had an underdetermind set of simultanous equations, to take a simple example:

x + 2y = 10
y - z = 2

Is there a way of predicting the number of possible solutions for x,y and z? Or a numerical method for finding a possible solution?

I have a complex linear system with around over 60 variables, and I can produce 27 simulateous equations that are always true for my system This is the ultimate undetermind system!!

Other than doing a trial and error brute force-type search, is there an area of maths that deals with such a problem? Is there a way of defining a search space, and at least predicting where a possible solution would lie?

thank you very much for your help

Austin