matrix.degree: Degree of each item of the matrix

In polyMatrix: Infrastructure for Manipulation Polynomial Matrices

Description

Returns a matrix obtained by applying a function degree() for each element of the matrix.

Usage

matrix.degree(x)

## S4 method for signature 'matrix'
matrix.degree(x)

## S4 method for signature 'polynomial'
matrix.degree(x)

## S4 method for signature 'polyMatrix'
matrix.degree(x)

Arguments

x	an R object

Details

Degree of each item is calculated using degree() which is defined for polynomials as the highest degree of the terms with non-zero coefficients.

For convenience this function is defined for any object, but returns zero for non polynomial objects.

Value

If the argument is a matrix, the result is a matrix of the same size containing the degrees of the matrix items.

For a numerical matrix the value is always a zero matrix of the same size

For a polynomial the value is the degree of the polynomial

Methods (by class)

• matrix: the degree of a numerical matrix is a zero matrix for compatibility

• polynomial: the degree of a polynomial

• polyMatrix: a matrix of degrees for each polynomial item of the source matrix

Examples

# numerical matrices
matrix.degree(matrix(1:6, 2, 3))
##      [,1] [,2] [,3]
## [1,]    0    0    0
## [2,]    0    0    0

# polynomials
matrix.degree(parse.polynomial("x + 1")) ## 1
matrix.degree(parse.polynomial("x^3 + 1")) ## 3
matrix.degree(parse.polynomial("1")) ## 0

# polynomial matrices
matrix.degree(parse.polyMatrix(
   "x; x^2 + 1",
   "0; 2x"))
##      [,1] [,2]
## [1,]    1    2
## [2,]    0    1

polyMatrix documentation built on July 18, 2021, 5:06 p.m.