Kronecker product — kron • fBasics

Computes the Kronecker product of two matrices.

Usage

kron(x, y)

Arguments

x, y: numeric matrices.

Details

The Kronecker product can be computed using the operator %x% or alternatively using the function kron for SPlus compatibility.

Note

kron is a synonym to %x%.

References

Golub, van Loan, (1996); Matrix Computations, 3rd edition. Johns Hopkins University Press.

Examples

## Create Pascal Matrix:
   P = pascal(3)
   P
#>      [,1] [,2] [,3]
#> [1,]    1    1    1
#> [2,]    1    2    3
#> [3,]    1    3    6
   
## Return the Kronecker Product                     
   kron(P, diag(3))
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
#>  [1,]    1    0    0    1    0    0    1    0    0
#>  [2,]    0    1    0    0    1    0    0    1    0
#>  [3,]    0    0    1    0    0    1    0    0    1
#>  [4,]    1    0    0    2    0    0    3    0    0
#>  [5,]    0    1    0    0    2    0    0    3    0
#>  [6,]    0    0    1    0    0    2    0    0    3
#>  [7,]    1    0    0    3    0    0    6    0    0
#>  [8,]    0    1    0    0    3    0    0    6    0
#>  [9,]    0    0    1    0    0    3    0    0    6
   P %x% diag(3)                        
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
#>  [1,]    1    0    0    1    0    0    1    0    0
#>  [2,]    0    1    0    0    1    0    0    1    0
#>  [3,]    0    0    1    0    0    1    0    0    1
#>  [4,]    1    0    0    2    0    0    3    0    0
#>  [5,]    0    1    0    0    2    0    0    3    0
#>  [6,]    0    0    1    0    0    2    0    0    3
#>  [7,]    1    0    0    3    0    0    6    0    0
#>  [8,]    0    1    0    0    3    0    0    6    0
#>  [9,]    0    0    1    0    0    3    0    0    6