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Topic review  solving systems of polynomials with parameters(symbols) 
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Re: write in code 


kamlesh wrote: hmmm yeah was finally able to extract the required information . The trick is to find the groebner basis with various ordering of the variables ( all in lp ) and then use the necessary polynomials and get the answer
kamlesh Yeah, I have the same problem. I tried it, but not enough memory. I define such thing: ring r=(0,c,d,e),(A,B,C,D),lp; ideal i=f1,f2,f3,f4; groebner (i); will it work like that? momo
[quote="kamlesh"]hmmm yeah was finally able to extract the required information . The trick is to find the groebner basis with various ordering of the variables ( all in lp ) and then use the necessary polynomials and get the answer
kamlesh[/quote]
Yeah, I have the same problem. I tried it, but not enough memory.
I define such thing:
ring r=(0,c,d,e),(A,B,C,D),lp; ideal i=f1,f2,f3,f4; groebner (i);
will it work like that?
momo




Posted: Tue Dec 17, 2013 11:13 am 





Post subject: 



hmmm yeah was finally able to extract the required information . The trick is to find the groebner basis with various ordering of the variables ( all in lp ) and then use the necessary polynomials and get the answer
kamlesh
hmmm yeah was finally able to extract the required information . The trick is to find the groebner basis with various ordering of the variables ( all in lp ) and then use the necessary polynomials and get the answer
kamlesh




Posted: Tue Jun 20, 2006 6:11 pm 





Post subject: 
solving systems of polynomials with parameters(symbols) 


Hello , I have a system of polynomial equations in variables as well as in parameters . I want to solve it in variables ( in terms of a parameters and a chosen variable ) . Tried using the solve command after computing the grobner basis . It says the system has parameters and refused to solve it . Whereas the same problem was solved using mathematica .
I need to do it using singular , can somebody tell me where am I wrong ?
// The actual problem f1 = D + 2AC + A^2 + 2B  c = 0 ; f2 = A^2 + 2BD + 2ABC + B^2  d = 0 ; f3 = B^2D  e =0 ; f4 = ADBC = 0;
with B,C,D,A as variables in lex ordr and c,d,e are parameters .
mathematica gives a 6th deg polynomial in B with coeffs ( coming from the parameters ) , and other var expressed in terms of B and parameters .
//
Can anybody suggest other useful topics to look into for dealing with similar problems ?
kamlesh
Hello , I have a system of polynomial equations in variables as well as in parameters . I want to solve it in variables ( in terms of a parameters and a chosen variable ) . Tried using the solve command after computing the grobner basis . It says the system has parameters and refused to solve it . Whereas the same problem was solved using mathematica .
I need to do it using singular , can somebody tell me where am I wrong ?
// The actual problem f1 = D + 2AC + A^2 + 2B  c = 0 ; f2 = A^2 + 2BD + 2ABC + B^2  d = 0 ; f3 = B^2D  e =0 ; f4 = ADBC = 0;
with B,C,D,A as variables in lex ordr and c,d,e are parameters .
mathematica gives a 6th deg polynomial in B with coeffs ( coming from the parameters ) , and other var expressed in terms of B and parameters .
//
Can anybody suggest other useful topics to look into for dealing with similar problems ?
kamlesh




Posted: Mon Jun 12, 2006 11:58 pm 





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