Add to ORKGAnalysing the cubic sectors of a real polynomial of degree n, a minor modification of Newton’s Rule of signs is proposed with which stricter upper limits on the number of real roots can be found. A new necessary condition for reality of the roots of a polynomial is also proposed. Relationship between the quadratic elements of the polynomial is established through its roots and those of its derivatives. Some aspects of polynomial discriminants are also discussed
We introduce a new algorithm denoted DSC2 to isolate the real roots of a univariate square-free poly...
AbstractThis paper revisits an algorithm isolating the real roots of a univariate polynomial using D...
Computing the real roots of a polynomial is a fundamental problem of computational algebra. We descr...
Analysing the cubic sectors of a real polynomial of degree n, a minor modification of Newton’s Rule ...
What can we deduce about the roots of a real polynomial in one variable by simply considering the si...
10 pagesWhat can we deduce about the roots of a real polynomial in one variable by simply considerin...
10 pagesWhat can we deduce about the roots of a real polynomial in one variable by simply considerin...
Descartes ’ Rule of Signs states that the number of positive roots of a polynomial p(x) with real co...
International audienceWhat can we deduce about the roots of a real polynomial in one variable by onl...
International audienceWhat can we deduce about the roots of a real polynomial in one variable by onl...
summary:The classical Descartes' rule of signs limits the number of positive roots of a real polynom...
summary:The classical Descartes' rule of signs limits the number of positive roots of a real polynom...
We develop a theory of multiplicities of roots for polynomials over hyperfields and use this to prov...
AbstractWe study a rule given by Newton and proved by Sylvester, on an upper bound for the number of...
Computing the real roots of a polynomial is a fundamental problem of computational algebra. We descr...
We introduce a new algorithm denoted DSC2 to isolate the real roots of a univariate square-free poly...
AbstractThis paper revisits an algorithm isolating the real roots of a univariate polynomial using D...
Computing the real roots of a polynomial is a fundamental problem of computational algebra. We descr...
Analysing the cubic sectors of a real polynomial of degree n, a minor modification of Newton’s Rule ...
What can we deduce about the roots of a real polynomial in one variable by simply considering the si...
10 pagesWhat can we deduce about the roots of a real polynomial in one variable by simply considerin...
10 pagesWhat can we deduce about the roots of a real polynomial in one variable by simply considerin...
Descartes ’ Rule of Signs states that the number of positive roots of a polynomial p(x) with real co...
International audienceWhat can we deduce about the roots of a real polynomial in one variable by onl...
International audienceWhat can we deduce about the roots of a real polynomial in one variable by onl...
summary:The classical Descartes' rule of signs limits the number of positive roots of a real polynom...
summary:The classical Descartes' rule of signs limits the number of positive roots of a real polynom...
We develop a theory of multiplicities of roots for polynomials over hyperfields and use this to prov...
AbstractWe study a rule given by Newton and proved by Sylvester, on an upper bound for the number of...
Computing the real roots of a polynomial is a fundamental problem of computational algebra. We descr...
We introduce a new algorithm denoted DSC2 to isolate the real roots of a univariate square-free poly...
AbstractThis paper revisits an algorithm isolating the real roots of a univariate polynomial using D...
Computing the real roots of a polynomial is a fundamental problem of computational algebra. We descr...