mvp: Multivariate polynomials, mvp objects

In mvp: Fast Symbolic Multivariate Polynomials

Multivariate polynomials, mvp objects

Description

Create, test for, an coerce to, mvp objects

Usage

mvp(vars, powers, coeffs)
is_ok_mvp(vars,powers,coeffs)
is.mvp(x)
as.mvp(x)
## S3 method for class 'character'
as.mvp(x)
## S3 method for class 'list'
as.mvp(x)
## S3 method for class 'mpoly'
as.mvp(x)
## S3 method for class 'mvp'
as.mvp(x)
## S3 method for class 'numeric'
as.mvp(x)

Arguments

vars	List of variables comprising each term of an mvp object
powers	List of powers corresponding to the variables of the vars argument
coeffs	Numeric vector corresponding to the coefficients to each element of the var and powers lists
x	Object to be coerced to or tested for being class mvp

Details

Function mvp() is the formal creation mechanism for mvp objects. However, it is not very user-friendly; it is better to use as.mvp() in day-to-day use.

Function is_ok_mvp() checks for consistency of its arguments.

Author(s)

Robin K. S. Hankin

Examples

mvp(list("x", c("x","y"), "a", c("y","x")), list(1,1:2,3,c(-1,4)), 1:4)

## Note how the terms appear in an arbitrary order, as do
## the symbols within a term.

kahle  <- mvp(
    vars   = split(cbind(letters,letters[c(26,1:25)]),rep(seq_len(26),each=2)),
    powers = rep(list(1:2),26),
    coeffs = 1:26
)
kahle
## again note arbitrary order of terms and symbols within a term

## Standard arithmetic rules apply:

a <- as.mvp("1 + 4*x*y + 7*z")
b <- as.mvp("-7*z + 3*x^34 - 2*z*x")

a+b
a*b^2

(a+b)*(a-b) == a^2-b^2 # should be TRUE

mvp documentation built on March 31, 2023, 5:43 p.m.