univariateDivision: Division of univariate polynomials

In resultant: Utilities for Multivariate Polynomials with Rational Coefficients

Division of univariate polynomials

Description

Division with remainder of univariate polynomials with rational coefficients.

Usage

univariateDivision(qspray1, qspray2)

Arguments

qspray1, qspray2

two univariate qspray polynomials

Value

A list of two univariate qspray polynomials, the quotient of the division in the field Q of the list, and the remainder in the field R.

See Also

integralDivision, qsprayDivision.

Examples

library(resultant)
x <- qlone(1)
qspray1 <- 2*x^4 + x^3 - 3*x^2 - x + 1
qspray2 <- x^2 - 5*x + 10
division <- univariateDivision(qspray1, qspray2)
Q <- division[["Q"]]; R <- division[["R"]]
qspray1 == Q*qspray2 + R # should be TRUE

resultant documentation built on Sept. 11, 2024, 8:01 p.m.