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Is there any way, using numpy or scipy, to check if a matrix is a lower or upper triangular matrix?. I know how make a function for check this; but I'd like know if these modules have their own functions themselves. I'm searching in the documentation but I do not have found anything.
968
Given a square matrix and the task is to check the matrix is in upper triangular form or not. A square matrix is called upper triangular if all the entries below the main diagonal are zero.
A triangular matrix is a square matrix in which all elements above or below the main diagonal are zero (0). If all the entries above the main diagonal are zero, it is a lower triangular matrix.
All upper and lower triangular matrices are diagonalizable. Any square matrix can be factored into the product of a lower triangular matrix and an upper triangular matrix. That is, any matrix can be transformed into a multiplication of triangular matrices.
An upper or lower triangular matrix is invertible if all its elements on the main diagonal are nonzero. In such a case, the inverse of an upper (lower) triangular matrix is also an upper (lower) triangular matrix.
I would do
np.allclose(mat, np.tril(mat)) # check if lower triangular
np.allclose(mat, np.triu(mat)) # check if upper triangular
np.allclose(mat, np.diag(np.diag(mat))) # check if diagonal
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