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 with multiplicity 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 -- the principal submatrix of the Hurwitz matrix of a univariate polynomial
• isHurwitzStable -- determines if a univariate polynomial with rational coefficients 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 in a polynomial ring
• realCount -- the number of real points of the spectrum of an Artinian ring (of characteristic 0)
• realRootIsolation -- a list that isolates the real roots of a univariate polynomial with rational coefficients
• regularRepresentation -- the regular representation of an element of an Artinian ring
• signature -- the signature of a symmetric matrix with rational entries
• sturmCount -- the number of real roots of a univariate polynomial with rational coefficients
• sturmSequence -- the Sturm sequence of a univariate polynomial with rational coefficients
• sylvesterCount -- a signed count of the real roots of a univariate polynomial with rational coefficients
• sylvesterSequence -- the Sylvester sequence of two univariate polynomials with rational coefficients
• traceCount -- the degree of the reduced scheme of an Artinian ring
• traceForm -- the trace symmetric form of a 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