# krprod: Khatri-Rao Product In multiway: Component Models for Multi-Way Data

## Description

Given `X` (n-by-p) and `Y` (m-by-p), the Khatri-Rao product `Z = krprod(X,Y)` is defined as

 ` Z[,j] = kronecker(X[,j],Y[,j]) `

which is the mn-by-p matrix containing Kronecker products of corresponding columns of `X` and `Y`.

## Usage

 `1` ```krprod(X,Y) ```

## Arguments

 `X` Matrix of order n-by-p. `Y` Matrix of order m-by-p.

## Value

The mn-by-p matrix of columnwise Kronecker products.

## Note

`X` and `Y` must have the same number of columns.

## Author(s)

Nathaniel E. Helwig <[email protected]>

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16``` ```########## EXAMPLE 1 ########## X <- matrix(1,4,2) Y <- matrix(1:4,2,2) krprod(X,Y) ########## EXAMPLE 2 ########## X <- matrix(1:2,4,2) Y <- matrix(1:4,2,2) krprod(X,Y) ########## EXAMPLE 3 ########## X <- matrix(1:2,4,2,byrow=TRUE) Y <- matrix(1:4,2,2) krprod(X,Y) ```

multiway documentation built on Nov. 17, 2017, 7:12 a.m.