Identity Tensor — teneye • tensory

Creates the order-m identity tensor E of size n, satisfying ttsv(E, x, -1) == x for any vector x with norm(x) == 1. Mirrors the MATLAB Tensor Toolbox teneye; as there, m must be even.

Usage

teneye(m, n)

Arguments

m: Tensor order (even positive integer).
n: Size of each mode.

Value

A symmetric Tensor of order m and size n.

Examples

E <- teneye(4, 3)
x <- rnorm(3); x <- x / sqrt(sum(x^2))
max(abs(ttsv(E, x, -1) - x)) < 1e-12
#> [1] TRUE