Re: Solving Complex Simultaneous Equations

[Sergei Steshenko]

--- On Tue, 6/18/13, JoshE87 <address@hidden> wrote:

> From: JoshE87 <address@hidden>
> Subject: Solving Complex Simultaneous Equations
> To: address@hidden
> Date: Tuesday, June 18, 2013, 8:43 AM
> Hi.  I'm very new to Octave and
> programming in general.  I'm working at a
> company so I can't share EXACTLY the formulas I'm working
> on, but I will try
> to make simple(r) analogues that carry the same weight and
> issues that I'm
> facing. 
> 
> Formula 1
> x^2=sum(5*((2-y*ui)/(1+x*ui)))
> 
> Formula 2
> y=1/z*sum((ui)/(1+x*ui))
> 
> Formula 3
> z=1+ sum(ui/(1+x*ui))
> 
> first guess of x
> x=(a*(sum(ui*5))^0.5)/2
> 
> How would I go about solving for x?
> I'd imagine that I have to solve iteratively, specify how
> many times I want
> it to try and make sure it knows what a good starting point
> is.  A good
> number of times to loop the equation would be 1,000 or
> 10,000.  
> 
> The problem is that I do not know the language to use in
> order to
> successfully input this information.  While you're
> explaining it, please
> speak to me as if I am totally ignorant of all programming
> knowledge.  As of
> 1 week ago I was.  
> 
> Can anyone help?  I haven't found any methods close to
> what I am trying to
> do in any tutorials.  
> 
> Thanks so much in advance.  If you need any more
> information please let me
> know. 
> 
> 
> 
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"I haven't found any methods close to what I am trying to do in any tutorials" 
- look up Levenberg-Marquard: 
https://en.wikipedia.org/wiki/Levenberg%E2%80%93Marquardt_algorithm .

Octave-specific documentation: in 
http://octave.sourceforge.net/optim/function/leasqr.html in 
http://octave.sourceforge.net/optim/index.html package.

Regards,
  Sergei.