bundles / scipy 2.0.0.dev0+git20260907.41eeb59 / scipy / sparse / _construct / kronsum
function
scipy.sparse._construct:kronsum
source: build-install/usr/lib/python3.14/site-packages/scipy/sparse/_construct.py:929
Signature
def kronsum(A, B, format = None)Summary
Kronecker sum of square sparse matrices A and B.
Extended Summary
Kronecker sum of two sparse matrices is a sum of two Kronecker products kron(I_n,A) + kron(B,I_m) where A has shape (m, m) and B has shape (n, n) and I_m and I_n are identity matrices of shape (m, m) and (n, n), respectively.
Parameters
A: sparse matrix or arraySquare matrix
B: sparse array or arraySquare matrix
format: strformat of the result (e.g. "csr")
Returns
: sparse matrix or arraykronecker sum in a sparse format. Returns a sparse matrix unless either
AorBis a sparse array in which case returns a sparse array.
Examples
`kronsum` can be used to construct a finite difference discretization of the 2D Laplacian from a 1D discretization.from scipy.sparse import diags_array, kronsum from matplotlib import pyplot as plt import numpy as np ex = np.ones(10) D_x = diags_array([ex, -ex[1:]], offsets=[0, -1]) # 1D first derivative D_xx = D_x.T @ D_x # 1D second derivative L = kronsum(D_xx, D_xx) # 2D Laplacian✓
plt.spy(L.toarray())
✗<matplotlib.image.AxesImage object at 0x7f3f60b63890>
plt.show()
✓
Aliases
scipy.sparse.kronsum