On multiplicities in polynomial system solving

Autor:	Teo Mora, H. M. Moller, Maria Grazia Marinari
Rok vydání:	1996
Předmět:	Algebra Properties of polynomial roots Polynomial Stable polynomial Applied Mathematics General Mathematics Factorization of polynomials ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Polynomial matrix Monic polynomial Mathematics Wilkinson's polynomial Matrix polynomial
Zdroj:	Transactions of the American Mathematical Society. 348:3283-3321
ISSN:	1088-6850 0002-9947
DOI:	10.1090/s0002-9947-96-01671-6
Popis:	This paper deals with the description of the solutions of zero dimensional systems of polynomial equations. Based on different models for describing solutions, we consider suitable representations of a multiple root, or more precisely suitable descriptions of the primary component of the system at a root. We analyse the complexity of finding the representations and of algorithms which perform transformations between the different representations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d6672853dff75fe2959cc69c19e2c1f https://doi.org/10.1090/s0002-9947-96-01671-6 Zobrazit plný text záznamu