I am given a polynomial F(x,y,z,w) with coefficients in C(t) (=fraction field of the polynomial ring C[t], where C denotes the field of complex numbers) and I know that
F(x,y,z,w)=C1(x,y,z,w)*A1(x,y,z,w)+...+C4(x,y,z,w)*A4(x,y,z,w), where A1(x,y,z,w),...,A4(x,y,z,w) are given polynomials.
I need an implemention in Python or SAGE of the "coefficients comparing" (identity principle) of the polynomials, so that I can find C1(x,y,z,w),...,C4(x,y,z,w) (note: those polynomials have coefficients in C(t)).
I need to use this code in cases in which the degree of the polynomials might be high and the expressions might be complicated, so it needs to be reasonably efficient (though "extreme" efficiency is not necerrarily required). Also, I will need to use this code repeatedly, in the sense that I need to reitarate it (maybe after elementary computations) on data obtained from it, hence it should read data from files and write on files in a easy-to-use manner (or analogues solution).
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Hello, I am interested in this project and so wanted to discuss more about it in details. I sincerely hope that you will believe me and hire me. Thanks Relevant Skills and Experience a Proposed Milestones €29 EUR - a