extremes {exams.forge}

Extremes

Description

Computes the real valued extremes (minima, maxima, and saddle points) for a univariate polynomial. The computation can be limited to a specific type of extremes.

Usage

extremes(p, type = c("all", "minimum", "maximum", "saddle"), tol = 1e-09)

Arguments

p

a polynomial

type

character: either all (default), minimum, maximum, or saddle

tol

numeric: if the absolute value of the imaginary part of the zeroes of the derivative of p is smaller than tol, it will be considered as zero

Value

A numeric vector.

Examples

p <- polynomial(c(0,0,0,1))
extremes(p)
p <- integral(poly.calc(-1:1))
extremes(p)