Overdetermined Strata for Degree 5 Hyperbolic Polynomials
Tóm tắt
In the present paper, we consider degree 5 hyperbolic polynomials (HPs) in one variable (i.e., real and with all roots real). We are interested in such HPs whose number of equalities between roots of the polynomial and its derivatives is greater or equal to 4. We give a new method, based on resultants and subresultants, to calculate the overdetermined strata for degree 5 hyperbolic polynomials.
Tài liệu tham khảo
citation_title=Algorithms in Real Algebraic Geometry, 2nd ed. Algorithms and Computation in Mathematics, 10; citation_publication_date=2006; citation_id=CR1; citation_author=S Basu; citation_author=R Pollack; citation_author=M-F Roy; citation_publisher=Springer
citation_title=Ideals, Varieties, and Algorithms. Undergraduate Texts in Mathematics, 2nd ed; citation_publication_date=1996; citation_id=CR2; citation_author=D Cox; citation_author=J Little; citation_author=D O’Shea; citation_publisher=Springer
citation_journal_title=Serdica Math. J.; citation_title=Discriminant sets of families of hyperbolic polynomials of degree 4 and 5; citation_author=VP Kostov; citation_volume=28; citation_publication_date=2002; citation_pages=117-152; citation_id=CR3