Eigenvalues and Eigenvectors of a Set of Vectors

Decomposition of Orientation Tensor Eigenvectors and Eigenvalues

Usage

# S3 method for class 'spherical'
eigen(x, scaled = FALSE)

eigen(x, ...)

Arguments

x

Object of class "Vec3", "Line" or "Plane"

scaled

logical. Whether the Eigenvectors should be scaled by the Eigenvalues (only effective if x is in Cartesian coordinates).

...

arguments passed from other functions

Value

list containing

values

Eigenvalues

vectors

Eigenvectors in coordinate system of x

See also

ortensor(), eigen()

Examples

set.seed(20250411)
mu <- rvmf(n = 1)
x <- rfb(100, mu = mu, k = 1, A = diag(c(10, 0, 0)))
x_eigen <- eigen(x)
x_eigen
#> eigen() decomposition
#> $values
#> [1] 51.78685 42.84371  5.36944
#> 
#> $vectors
#> Vector (Vec3) object (n = 3):
#>               x          y         z
#> [1,] -0.5187265  0.3210950 0.7923514
#> [2,]  0.8037616  0.4990043 0.3239783
#> [3,]  0.2913590 -0.8049178 0.5169306
#> 
plot(x, col = "grey")
points(mu, labels = "mu", col = 4)
#> Warning: "labels" is not a graphical parameter
points(x_eigen$vectors, col = c(1, 2, 3), labels = c("E1", "E2", "E3"))
#> Warning: "labels" is not a graphical parameter