MATLAB Function Reference |
Syntax
Description
K = kron(X,Y)
returns the Kronecker tensor product of X
and Y
. The result is a large array formed by taking all possible products between the elements of X
and those of Y
. If X
is m
-by-n
and Y
is p
-by-q
, then kron(X,Y)
is m*p
-by-n*q
.
Examples
If X
is 2-by-3, then kron(X,Y)
is
The matrix representation of the discrete Laplacian operator on a two-dimensional, n
-by-n
grid is a n^2
-by-n^2
sparse matrix. There are at most five nonzero elements in each row or column. The matrix can be generated as the Kronecker product of one-dimensional difference operators with these statements:
Plotting this with the spy
function for n = 5
yields:
keyboard | lasterr |
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