supermat {ThreeWay}

Matrix unfolding

Description

Produces matricizations of a three-way array into matrices denoted as super-matrices.

Usage

 supermat(X)

Arguments

X

Array to be unfolded

Value

A list including the following components:

Xa

Super-matrix with B-mode entities nested within C-mode entities (all the frontal slices of the array next to each other)

Xb

Super-matrix with C-mode entities nested within A-mode entities (all the horizontal slices of the array next to each other)

Xc

Super-matrix with A-mode entities nested within B-mode entities (all the lateral slices of the array next to each other)

Author(s)

Maria Antonietta Del Ferraro [e-mail]
Henk A.L. Kiers [e-mail]
Paolo Giordani [e-mail]

References

H.A.L. Kiers (2000). Towards a standardized notation and terminology in multiway analysis. Journal of Chemometrics 14:105–122.

Examples

# array (2x2x2) with integers from 1 to 8
X <- array(1:8,c(2,2,2))
Y <- supermat(X)
# matricized arrays
Y$Xa
Y$Xb
Y$Xc