I have tried to find the discriminant for complex-valued harmonic polynomial by using the following options:
1. Real part of the equation=Imaginary part of the equation=Jacobian with respect to equation=0
2. Using singular method.
The problem is these two methods are too slow to compute the discriminant.
My question is can I have another option to compute the discriminant?
Dear doctor
Go To
On mixed polynomials of bidegree (n, 1)
Mohamed Elkadi and André Galligo
December 17, 2014
"Abstract Specifying the bidegrees (n, m) of mixed polynomials P(z, z¯) of the single complex variable z, with complex coefficients, allows to investigate interesting roots structures and counting; intermediate between complex and real algebra. Multivariate mixed polynomials appeared in recent papers dealing with Milnor fibrations, but in this paper we focus on the univariate case and m = 1, which is closely related to the important subject of harmonic maps. Here we adapt, to this setting, two algorithms of computer algebra: Vandermonde interpolation and a bissection-exclusion method for root isolation. Implemented in Maple, they are used to explore some interesting classes of examples."
- Badges
- Science topic
- Similar topics
- Cognitive Science
- Thinking