Reputation: 21
Is it possible to create a 9x9 matrix where the "diagonal" is another matrix and the rest are zeroes, like this:
5 5 5 0 0 0 0 0 0
5 5 5 0 0 0 0 0 0
5 5 5 0 0 0 0 0 0
0 0 0 5 5 5 0 0 0
0 0 0 5 5 5 0 0 0
0 0 0 5 5 5 0 0 0
0 0 0 0 0 0 5 5 5
0 0 0 0 0 0 5 5 5
0 0 0 0 0 0 5 5 5
from a smaller 3x3 matrix repeated:
5 5 5
5 5 5
5 5 5
I am aware of the Replicate
function but that repeats it everywhere in the matrix and doesn't maintain the zeroes. Is there a builtin way of achieving what I'm after?
Upvotes: 0
Views: 111
Reputation: 18807
You can use the (unsupported) KroneckerProduct module for that:
#include <unsupported/Eigen/KroneckerProduct>
int main()
{
Eigen::MatrixXd A = Eigen::kroneckerProduct(Eigen::Matrix3d::Identity(), Eigen::Matrix3d::Constant(5));
std::cout << A << '\n';
}
Upvotes: 0
Reputation: 21
One way of doing this is by using blocks where .block<3,3>(0,0)
is a 3x3
block starting at 0,0
. (Note: Your IDE might flag this line as an error but it will compile and run)
for (int x=0, x<3, x++){
zero_matrix.block<3,3>(x*3,x*3) = five_matrix;
}
Upvotes: 2