kronecker

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Kronecker Products on Arrays

Computes the generalised kronecker product of two arrays, X and Y.

Keywords
array
Usage
kronecker(X, Y, FUN = "*", make.dimnames = FALSE, …)
X %x% Y
Arguments
X

A vector or array.

Y

A vector or array.

FUN

a function; it may be a quoted string.

make.dimnames

Provide dimnames that are the product of the dimnames of X and Y.

optional arguments to be passed to FUN.

Details

If X and Y do not have the same number of dimensions, the smaller array is padded with dimensions of size one. The returned array comprises submatrices constructed by taking X one term at a time and expanding that term as FUN(x, Y, ...).

%x% is an alias for kronecker (where FUN is hardwired to "*").

Value

An array A with dimensions dim(X) * dim(Y).

References

Shayle R. Searle (1982) Matrix Algebra Useful for Statistics. John Wiley and Sons.

See Also

outer, on which kronecker is built and %*% for usual matrix multiplication.

Aliases
  • kronecker
  • .kronecker
  • %x%
Examples
library(base) # NOT RUN { # simple scalar multiplication ( M <- matrix(1:6, ncol = 2) ) kronecker(4, M) # Block diagonal matrix: kronecker(diag(1, 3), M) # ask for dimnames fred <- matrix(1:12, 3, 4, dimnames = list(LETTERS[1:3], LETTERS[4:7])) bill <- c("happy" = 100, "sad" = 1000) kronecker(fred, bill, make.dimnames = TRUE) bill <- outer(bill, c("cat" = 3, "dog" = 4)) kronecker(fred, bill, make.dimnames = TRUE) # }
Documentation reproduced from package base, version 3.6.1, License: Part of R 3.6.1

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