[Maxima] polynomial equations
adammaj1 at o2.pl
Thu Sep 27 10:18:41 CDT 2007
Richard Fateman pisze:
> Unless n is quite small, like n=2, the system is probably too complicated to
> find any algebraic/symbolic solutions for arbitrary c and z that would be of
> any use.
Yes. It easy for n = 1 or 2. Harder but posiible for 3 but imposible for
n>3 to get explicite formula. But it is possible to get numerical solution.
I thought about something like that :
see page number 9
see page 12
> It is easy to find factors of F, e.g. F[4,c,z] has 3 factors of degree
> (2,1), (2,1), (12,6) in z and c resp.
>> -----Original Message-----
>> From: maxima-bounces at math.utexas.edu
>> [mailto:maxima-bounces at math.utexas.edu] On Behalf Of Adam Majewski
>> Sent: Wednesday, September 26, 2007 9:48 AM
>> To: maxima at math.utexas.edu
>> Subject: [Maxima] polynomial equations
>> Hi !
>> I'm trying to solve pair of equations:
>> # 1 definition
>> f[n, c, z] :=
>> if n=0
>> then z
>> else (f[n-1, c, z]^2 + c);
>> # 2 def
>> F[n, c, z] :=f[n, c, z]-z;
>> # 3 def
>> # pair of equations:
>> # n is constant
>> dF[n,c,z] +1 = exp(angle*%i)
>> F[n, c, z]=0
>> I want to get function
>> c = G(angle)
>> or compute values of c for given angle ( without explicite
>> definition of
>> function G )
>> How can I do it in Maxima ?
>> Any suggestions?
>> Adam Majewski
>> Theory of equation : http://xxx.lanl.gov/abs/hep-th/0701234
>> Maxima mailing list
>> Maxima at math.utexas.edu
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