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Re: [Help-gsl] Re: (A newbie asks) How to program multidimensional root


From: John Pye
Subject: Re: [Help-gsl] Re: (A newbie asks) How to program multidimensional root solver?
Date: Thu, 19 Jun 2008 15:25:15 +1000
User-agent: Thunderbird 2.0.0.14 (X11/20080505)

FWIW have you already been able to solve this equation system? Have you tried with a tool like Excel Solver or ASCEND or Maxima or GAMS first? Once you have shown that the equations solve and behave nicely, you can try coding them up in low-level C code, but it generally easier to use a higher-level tool first up. Perhaps you already did this -- just checking.

Olumide wrote:
Slight correction: equations 2 and 3 should be equated to zero.

Equation 2:
x + z(b + 2.d.x + e.y + w[0].(Log r[0] + K).(x - g[0]) + ... + w[n].(Log r[n] + K).(x - g[n])

Equation 3:
y + z(c + 2.f.y + e.x + w[0].(Log r[0] + K).(x - h[0]) + ... + w[n].(Log r[n] + K).(y - h[n])

where r[i] = [(x - g[0])^2 + (y - h[0])^2]^0.5

and a, b, c, d, e, f, g[.], h[.], and K are constants.





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