Resultant-Based Method for Overdetermined Strata for Degree 4 hyperbolic Polynomials
Ezzaldine Hayssam
Laboratory of Mathematics and Its Applications, LaMA-Lebanon, Lebanese University, Lebanon.
Khalil Houssam
Laboratory of Mathematics and Its Applications, LaMA-Lebanon, Lebanese University, Lebanon.
Sarrage Mouhamad
Laboratory of Mathematics and Its Applications, LaMA-Lebanon, Lebanese University, Lebanon.
Hossein Mouhamad *
Laboratory of Mathematics and Its Applications, LaMA-Lebanon, Lebanese University, Lebanon.
*Author to whom correspondence should be addressed.
Abstract
We present a resultant-based method to calculate the overdetermined strata for degree 4 hyperbolic polynomials in one variable. It is a new method to calculate overdetermined strata. We present also the complete study of the overdetermined strata for degree 4 hyperbolic polynomials by the geometric method.
Keywords: Hyperbolic polynomials, Gegenbauer polynomials, overdetermined strata, resultants.