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MathGroup Archive 1998

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Re: Solving simultaneous eqns

  • To: mathgroup at smc.vnet.net
  • Subject: [mg14243] Re: Solving simultaneous eqns
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Mon, 12 Oct 1998 13:51:28 -0400
  • Organization: University of Western Australia
  • References: <6vf3ta$dde@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Yeoung-Sang Yun wrote:

> I want to know how to solve the following simulaneous equations in
> Mathematica:
> 
> x=x^1.2/(2*x^3+y^0.7+4*z^2.5)
> y=y^0.7/(2*x^0.6+y^2+z^2.2)
> z=0.9*z^1.5/(x^0.7+2*y^0.2+z^1.1)

Closed form solution is unlikely.  Here is one way to find a numerical
solution using FindRoot:

In[1]:= Chop[FindRoot[{
	x == x^1.2/(2*x^3 + 4*z^2.5 + y^0.7), 
    y == y^0.7/(z^2.2 + y^2 + 2*x^0.6), 
    z == (0.9*z^1.5)/(z^1.1 + x^0.7 + 2*y^0.2)}, 
		{x, 1}, {y, 1.5}, {z, 2}]]

Out[1]= {x->0.207116,y->0.61566,z->0}

Cheers,
	Paul

____________________________________________________________________ 
Paul Abbott                                   Phone: +61-8-9380-2734
Department of Physics                           Fax: +61-8-9380-1014
The University of Western Australia            Nedlands WA  6907       
mailto:paul at physics.uwa.edu.au  AUSTRALIA                       
http://www.physics.uwa.edu.au/~paul

            God IS a weakly left-handed dice player
____________________________________________________________________


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