We study the regularity of the roots of complex univariate polynomials whose coefficients depend smoothly on parameters

To follow hydration with water in the liquid phase the sample mounted on the extensometer was exposed to a vapor in the cell, as described for vapor

Oeuvre d’Art par Aldo Cruces-Newhall MathsLibres.com vous shouhaite Joyeux Noël... Comptage de 12 Jours de Noël par 8 (A) Réponses Comptage de huit bonnes

That is why, rather than proposing a complete set of economic measures and plans, the emphasis here has been to ask questions of method and highlight three essential ingredients for

Keywords: Discrete Stochastic Arithmetic, floating-point arithmetic, numerical vali- dation, rounding errors, polynomial, multiple roots, Newton’s method, modified New- ton’s

In Section 3, we detail a fast algorithm for the computation of affine factors , which are polynomials having the same roots as the shifts but which can be computed more

The fact that a real univariate polynomial misses some real roots is usually over- came by considering complex roots, but the price to pay for, is a complete lost of the sign

For the study of multiple roots of sparse polynomials and, in particular, to prove Theorem 2.6, it is not enough to dispose of a version of Theorem 2.2 with an explicit dependence

In Section 3 we give a new (very short) proof of the result of [M], using a theorem of Kolmogorov on conjugate functions (see Section 2 for definitions and properties of conjugate