RealRoots : Table of Contents

• RealRoots -- Package for exploring, counting and locating real solutions to polynomial systems
• BudanFourierBound -- a bound for the number of real roots of a univariate polynomial with rational coefficients
• characteristicPolynomial -- the characteristic polynomial of a matrix or the characteristic polynomial of the regular representation of a polynomial
• HurwitzMatrix -- a specified principle submatrix of the Hurwitz matrix of a univariate polynomial
• isHurwitzStable -- determines whether or not a rational univariate polynomial is Hurwitz stable
• minimalPolynomial -- the minimal polynomial of an element of an Artinian ring
• Multiplicity
• Multiplicity(RealRoots)
• rationalUnivariateRepresentation -- the rational univariate representation of a zero-dimensional ideal
• realRootIsolation -- a list that isolates the real roots of a rational univariate polynomial
• regularRepresentation -- the regular representation of a rational polynomial
• SturmCount -- the number of real roots of a rational univariate polynomial
• SturmSequence -- the Sturm sequence of a rational univariate polynomial
• SylvesterCount -- the difference in variations of the Sylvester sequence of two rational univariate polynomials
• SylvesterSequence -- the Sylvester sequence of two rational univariate polynomials
• traceCount -- the number of real points of the spectrum of an Artinian ring (of characteristic 0)
• traceForm -- the trace quadratic form of a rational polynomial in an Artinian ring
• univariateEliminant -- the univariate eliminant of an element of an Artinian ring
• variations -- the number of sign changes of an ordered list of numbers