Displaying similar documents to “Invariance of Poincaré-Lyapunov polynomials under the group of rotations.”

Real and complex pseudozero sets for polynomials with applications

Stef Graillat, Philippe Langlois (2007)

RAIRO - Theoretical Informatics and Applications

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Pseudozeros are useful to describe how perturbations of polynomial coefficients affect its zeros. We compare two types of pseudozero sets: the complex and the real pseudozero sets. These sets differ with respect to the type of perturbations. The first set – complex perturbations of a complex polynomial – has been intensively studied while the second one – real perturbations of a real polynomial – seems to have received little attention. We present a computable formula for the real...

On a decomposition of polynomials in several variables

Andrzej Schinzel (2002)

Journal de théorie des nombres de Bordeaux

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One considers representation of a polynomial in several variables as the sum of values of univariate polynomials taken at linear combinations of the variables.

On stable polynomials

Miloslav Nekvinda (1989)

Aplikace matematiky

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The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.