Function kron
pub fn kron<E>(dst: MatMut<'_, E>, lhs: MatRef<'_, E>, rhs: MatRef<'_, E>)where
E: ComplexField,
Expand description
Kronecker product of two matrices.
The Kronecker product of two matrices A
and B
is a block matrix
C
with the following structure:
C = [ a[(0, 0)] * B , a[(0, 1)] * B , ... , a[(0, n-1)] * B ]
[ a[(1, 0)] * B , a[(1, 1)] * B , ... , a[(1, n-1)] * B ]
[ ... , ... , ... , ... ]
[ a[(m-1, 0)] * B , a[(m-1, 1)] * B , ... , a[(m-1, n-1)] * B ]
§Panics
Panics if dst
does not have the correct dimensions. The dimensions
of dst
must be nrows(A) * nrows(B)
by ncols(A) * ncols(B)
.
§Example
use faer::{linalg::kron, mat, Mat};
let a = mat![[1.0, 2.0], [3.0, 4.0]];
let b = mat![[0.0, 5.0], [6.0, 7.0]];
let c = mat![
[0.0, 5.0, 0.0, 10.0],
[6.0, 7.0, 12.0, 14.0],
[0.0, 15.0, 0.0, 20.0],
[18.0, 21.0, 24.0, 28.0],
];
let mut dst = Mat::new();
dst.resize_with(4, 4, |_, _| 0f64);
kron(dst.as_mut(), a.as_ref(), b.as_ref());
assert_eq!(dst, c);