scipy tutorial - Baustatik-Info-Server

SciPy Reference Guide, Release 0.8.dev
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 :
B :
square matrix
square matrix
format : string
format of the result (e.g. “csr”)
Returns
kronecker sum in a sparse matrix format :
lil_eye((r, c), k=0, dtype=’d’)
Generate a lil_matrix of dimensions (r,c) with the k-th diagonal set to 1.
Parameters
r,c : int
k : int
row and column-dimensions of the output.
• diagonal offset. In the output matrix,
• out[m,m+k] == 1 for all m.
dtype : dtype
data-type of the output array.
lil_diags(diags, offsets, (m, n), dtype=’d’)
Generate a lil_matrix with the given diagonals.
Examples
Parameters
diags : list of list of values e.g. [[1,2,3],[4,5]]
values to be placed on each indicated diagonal.
offsets : list of ints
diagonal offsets. This indicates the diagonal on which the given values should be
placed.
(r,c) : tuple of ints
row and column dimensions of the output.
dtype : dtype
output data-type.
>>> lil_diags([[1,2,3],[4,5],[6]],[0,1,2],(3,3)).todense()
matrix([[ 1., 4., 6.],
[ 0., 2., 5.],
[ 0., 0., 3.]])
386 Chapter 3. Reference