Resultants of partially composed polynomials

• Autores: Manfred Minimair
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 41, Nº 5, 2006, págs. 591-602
• Idioma: inglés
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• Resumen

  • We study the structure of resultants of two homogeneous partially composed polynomials. By two homogeneous partially composed polynomials we mean a pair of polynomials of which one does not have any given composition structure and the other is obtained by composing a bivariate homogeneous polynomial with two bivariate homogeneous polynomials. The main contributions are two equivalent formulas, each representing the resultant of two partially composed polynomials as a certain iterated resultant of the component polynomials. Furthermore, in many cases, this iterated resultant can be computed with dramatically increased efficiency, as demonstrated by experiments.