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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 zerodimensional 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