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Descartes' rule of signs for polynomial systems supported on circuits
(Oxford University Press, 2017-11)
We give a multivariate version of Descartes' rule of signs to bound the number of positive real roots of a system of polynomial equations in n variables with n+2 monomials, in terms of the sign variation of a sequence ...
Connection coefficients and zeros of orthogonal polynomials
(Elsevier B.V., 2001-08-01)
We discuss an old theorem of Obrechkoff and some of its applications. Some curious historical facts around this theorem are presented. We make an attempt to look at some known results on connection coefficients, zeros and ...
Connection coefficients and zeros of orthogonal polynomials
(Elsevier B.V., 2001-08-01)
We discuss an old theorem of Obrechkoff and some of its applications. Some curious historical facts around this theorem are presented. We make an attempt to look at some known results on connection coefficients, zeros and ...
Connection coefficients and zeros of orthogonal polynomials
(Elsevier B.V., 2014)
Polinômios algébricos e trigonométricos com zeros reais
(Universidade Estadual Paulista (Unesp), 2003-02-24)
O principal objetivo deste trabalho é realizar um estudo sobre polinômios algébricos e trigonométricos que possuem somente zeros reais. O Teorema de Hermite nos dá condições necessárias e su cientes para que isto aconteça. ...
Polinômios algébricos e trigonométricos com zeros reais
(Universidade Estadual Paulista (UNESP), 2014)
Regra de Sinais de Descartes para polinômios ortogonais
(Universidade Estadual Paulista (Unesp), 2015-09-30)
The main objective of this text is the study of the Descartes' rule of signs and the generalized Descartes' rule of signs. We also present an application of the generalized Descartes' rule of signs to orthogonal polynomials. ...
Regra de Sinais de Descartes para polinômios ortogonais
(Universidade Estadual Paulista (UNESP), 2016)
Regra de Sinais de Descartes para polinômios ortogonais
(Universidade Estadual Paulista (Unesp), 2016)
Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry
(Springer, 2016-02)
We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomial maps with arbitrary real exponents defined on the positive orthant. Our work relates and extends existing ...