ALGORITHM FOR COMPUTING THE TRUNCATION OF THE DISCRIMINANT OF A POLINOMIAL
- Authors: LYAPIN A.P.1,2, MIKHALKIN E.N.1
- 
							Affiliations: 
							- Siberian Federal University
- Fairmont State University
 
- Issue: No 1 (2023)
- Pages: 56-60
- Section: КОМПЬЮТЕРНАЯ АЛГЕБРА
- URL: https://cardiosomatics.ru/0132-3474/article/view/675763
- DOI: https://doi.org/10.31857/S0132347423010065
- EDN: https://elibrary.ru/GSECON
- ID: 675763
Cite item
Abstract
A program that computes the truncation of the discriminant for a polynomial of one variable onto facets of the Newton polytope for the discriminant of this polynomial, as well as enables the factorization of this truncation into the product of discriminants of polynomials of lower degrees, is developed.
About the authors
A. P. LYAPIN
Siberian Federal University; Fairmont State University
														Email: aplyapin@sfu-kras.ru
				                					                																			                												                								Krasnoyarsk, Russia; Fairmont, WV 26554, USA						
E. N. MIKHALKIN
Siberian Federal University
							Author for correspondence.
							Email: mikhalkin@bk.ru
				                					                																			                												                								Krasnoyarsk, Russia						
References
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- Mikhalkin E.N., Stepanenko V.A., Tsikh A.K. Blow-ups for the Horn-Kapranov parametrization of the classical discriminant. B кн. “Partial Differential Equations, Spectral Theory, and Mathematical Physics”. EMS Series of Congress Reports. Publication house EMS. 2021. P. 315–329.
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- Passare M., Tsikh A. Algebraic equations and hypergeometric series. In the book “The legacy of Niels Henrik Abel”. Springer: Berlin-Heidelberg-New York, 2004. P. 653–672.
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