# scipy.sparse.triu¶

scipy.sparse.triu(A, k=0, format=None)[source]

Return the upper triangular portion of a matrix in sparse format

Returns the elements on or above the k-th diagonal of the matrix A.
• k = 0 corresponds to the main diagonal

• k > 0 is above the main diagonal

• k < 0 is below the main diagonal

Parameters

Matrix whose upper trianglar portion is desired.

kinteger

The bottom-most diagonal of the upper triangle.

formatstring

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

Returns
Lsparse matrix

Upper triangular portion of A in sparse format.

tril

lower triangle in sparse format

Examples

>>> from scipy.sparse import csr_matrix, triu
>>> A = csr_matrix([[1, 2, 0, 0, 3], [4, 5, 0, 6, 7], [0, 0, 8, 9, 0]],
...                dtype='int32')
>>> A.toarray()
array([[1, 2, 0, 0, 3],
[4, 5, 0, 6, 7],
[0, 0, 8, 9, 0]])
>>> triu(A).toarray()
array([[1, 2, 0, 0, 3],
[0, 5, 0, 6, 7],
[0, 0, 8, 9, 0]])
>>> triu(A).nnz
8
>>> triu(A, k=1).toarray()
array([[0, 2, 0, 0, 3],
[0, 0, 0, 6, 7],
[0, 0, 0, 9, 0]])
>>> triu(A, k=-1).toarray()
array([[1, 2, 0, 0, 3],
[4, 5, 0, 6, 7],
[0, 0, 8, 9, 0]])
>>> triu(A, format='csc')
<3x5 sparse matrix of type '<class 'numpy.int32'>'
with 8 stored elements in Compressed Sparse Column format>


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