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identity — SciPy v1.17.0.dev Manual

scipy.sparse.

scipy.sparse.identity(n, dtype='d', format=None)[source]#

Identity matrix in sparse format

Returns an identity matrix with shape (n, n) using a given sparse format and dtype. This differs from eye_array in that it has a square shape with ones only on the main diagonal. It is thus the multiplicative identity. eye_array allows rectangular shapes and the diagonal can be offset from the main one.

Warning

This function returns a sparse matrix – not a sparse array. You are encouraged to use eye_array to take advantage of the sparse array functionality.

Parameters:

nint

Shape of the identity matrix.

dtypedtype, optional

Data type of the matrix

formatstr, optional

Sparse format of the result, e.g., format=”csr”, etc.

Returns:

new_matrixsparse matrix

A square sparse matrix with ones on the main diagonal and zeros elsewhere.

See also

eye_array

Sparse array of chosen shape with ones on a specified diagonal.

eye

Sparse matrix of chosen shape with ones on a specified diagonal.

Examples

>>> import scipy as sp
>>> sp.sparse.identity(3).toarray()
array([[ 1.,  0.,  0.],
       [ 0.,  1.,  0.],
       [ 0.,  0.,  1.]])
>>> sp.sparse.identity(3, dtype='int8', format='dia')
<DIAgonal sparse matrix of dtype 'int8'
    with 3 stored elements (1 diagonals) and shape (3, 3)>
>>> sp.sparse.eye_array(3, dtype='int8', format='dia')
<DIAgonal sparse array of dtype 'int8'
    with 3 stored elements (1 diagonals) and shape (3, 3)>

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