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MathGroup Archive 2004

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Re: fixed point _convergence _check

  • To: mathgroup at smc.vnet.net
  • Subject: [mg47458] Re: fixed point _convergence _check
  • From: m004202002 at yahoo.com (why)
  • Date: Tue, 13 Apr 2004 06:26:10 -0400 (EDT)
  • References: <c537go$j52$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In fixed point methodes to find out 
convergence we need to check 

[nonlinear system...
  u(x,y)=x^2+xy-10  = 0
  v(x,y)=y+3xy^2-57 = 0
]

du/dx+dV/dx < 1          d<-means partial derivative 
and
du/dy+dV/dy < 1

means, after find out jacobian ,mathematica
will inserts x,y value into du/dx,dV/dx,du/dy,dV/dy
and show me du/dx+dV/dx =? ,du/dy+dV/dy=?
how i can do that with mathematica ?

Please help me .

> will inserts x,y value into
> &#948;u/&#948;x,&#948;V/&#948;x,&#948;u/&#948;y,&#948;V/&#948;y
> and show me &#948;u/&#948;x+&#948;V/&#948;x =?
> ,&#948;u/&#948;y+&#948;V/&#948;y=?
> how i can do that with mathematica ?
> 
> Please help me .


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