error - system too complex



Hi Damiano,

> (%i1) T:matrix([3,45,6,7,8]);
> 
> (%o1)                         [ 3  45  6  7  8 ]
> (%i2) t:matrix([0,3,48,54,61,69]);
> (%o2)                      [ 0  3  48  54  61  69 ]
> (%i3) algsys([5/N-sum(F*%
> E^(-F*t[1,i])*T[1,i],i,1,5)=0,5/F-sum(t[1,i],i,1,6)-sum(F*n*t[1,i]+%
> E^(-F*t[1,i])*T[1,i],i,1,5)=0],[N,F]);
> 
> i got the follwing error : 
> 
> ALGSYS cannot solve - system too complicated.

Well, I don't know how difficult or easy it should be to solve it. 

If you can accept a numerical solution, you can try using
mnewton (multivariate Newton method). Get mnewton.mac from:
http://cvs.sf.net/viewcvs.py/maxima/maxima/share/contrib/

Defining F1(N,F) := (left side of one equation), 
F2(N,F) := (left side of other equation), and trying 
some different starting points, I get the following:

(%i28) mnewton([F1(N,F),F2(N,F)],[N,F],[0.001,0.001]);
(%o28)  [[N = 5.601022146947916, F = .0164121839939073]]

and checking the would-be solution --

(%i31) subst([N = 5.601022146947916, F = .0164121839939073], F1(N,F));
(%o31)               - 3.48165940522449E-13
(%i32) subst([N = 5.601022146947916, F = .0164121839939073], F2(N,F));
(%o32)               - 9.99200722162641E-16

Hope this helps,
Robert Dodier


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