Add to ORKG2000 Mathematics Subject Classification: 12D10.We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials
A general theorem concerning the structure of a certain real algebraic curve is proved. Consequences...
10 pagesWhat can we deduce about the roots of a real polynomial in one variable by simply considerin...
summary:The classical Descartes' rule of signs limits the number of positive roots of a real polynom...
AbstractIn this paper we count the number ♯n(0,k), k⩽n−1, of connected components in the space Δn(0,...
AbstractA real polynomial P of degree n in one real variable is hyperbolic if its roots are all real...
AbstractIn this paper we count the number ♯n(0,k), k⩽n−1, of connected components in the space Δn(0,...
AbstractA real polynomial P of degree n in one real variable is hyperbolic if its roots are all real...
2000 Mathematics Subject Classification: 12D10.We show that for n = 4 they are realizable either by ...
A real polynomial P in one real variable is hyperbolic if its roots are all real. n j j The compos...
∗ Research partially supported by INTAS grant 97-1644A real polynomial of one real variable is hyper...
2000 Mathematics Subject Classification: 12D10.In the present paper we consider degree 6 hyperbolic ...
To the memory of my mother Abstract. A real polynomial of one real variable is hyperbolic (resp. str...
A real polynomial P of degree n in one real variable is hyperbolic if its roots are all real. A real...
summary:An algorithm for the calculation of a lower bound of the absolute values of the roots of a r...
summary:An algorithm for the calculation of a lower bound of the absolute values of the roots of a r...
A general theorem concerning the structure of a certain real algebraic curve is proved. Consequences...
10 pagesWhat can we deduce about the roots of a real polynomial in one variable by simply considerin...
summary:The classical Descartes' rule of signs limits the number of positive roots of a real polynom...
AbstractIn this paper we count the number ♯n(0,k), k⩽n−1, of connected components in the space Δn(0,...
AbstractA real polynomial P of degree n in one real variable is hyperbolic if its roots are all real...
AbstractIn this paper we count the number ♯n(0,k), k⩽n−1, of connected components in the space Δn(0,...
AbstractA real polynomial P of degree n in one real variable is hyperbolic if its roots are all real...
2000 Mathematics Subject Classification: 12D10.We show that for n = 4 they are realizable either by ...
A real polynomial P in one real variable is hyperbolic if its roots are all real. n j j The compos...
∗ Research partially supported by INTAS grant 97-1644A real polynomial of one real variable is hyper...
2000 Mathematics Subject Classification: 12D10.In the present paper we consider degree 6 hyperbolic ...
To the memory of my mother Abstract. A real polynomial of one real variable is hyperbolic (resp. str...
A real polynomial P of degree n in one real variable is hyperbolic if its roots are all real. A real...
summary:An algorithm for the calculation of a lower bound of the absolute values of the roots of a r...
summary:An algorithm for the calculation of a lower bound of the absolute values of the roots of a r...
A general theorem concerning the structure of a certain real algebraic curve is proved. Consequences...
10 pagesWhat can we deduce about the roots of a real polynomial in one variable by simply considerin...
summary:The classical Descartes' rule of signs limits the number of positive roots of a real polynom...