A blockwise lower-triangular operator with non-singular operators on the main diagonal is always non-singular.
Package:
tensorflow
158813

Exception Class:
ValueError
Raise code
"blockwise structure.".format(
op.range_dimension, right_op.range_dimension))
# pylint: disable=g-bool-id-comparison
def _validate_non_singular(self, is_non_singular):
if all(op.is_non_singular for op in self._diagonal_operators):
if is_non_singular is False:
raise ValueError(
"A blockwise lower-triangular operator with non-singular operators "
" on the main diagonal is always non-singular.")
return True
if any(op.is_non_singular is False for op in self._diagonal_operators):
if is_non_singular is True:
raise ValueError(
"A blockwise lower-triangular operator with a singular operator on "
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Links to the raise (1)
https://github.com/tensorflow/tensorflow/blob/863af33dd172043502fcb9e4f63e09449a9b29f3/tensorflow/python/ops/linalg/linear_operator_block_lower_triangular.py#L315See also in the other packages (1)
(❌️ No answer)
tensorflow-probability/a-blockwise-lower
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