Structured LinearOperators

class linear_operator.operators.TriangularLinearOperator(tensor, upper=False)

A wrapper for LinearOperators when we have additional knowledge that it represents a lower- or upper-triangular matrix (or batch of matrices).

Parameters:

• tensor (torch.Tensor or LinearOperator) – A … x N x N Tensor, representing a (batch of) N x N triangular matrix.

• upper (bool) – If True, the tensor is considered to be upper-triangular, otherwise lower-triangular.

abs()

Returns a TriangleLinearOperator with the absolute value of all diagonal entries.

Return type:

LinearOperator

exp()

Returns a TriangleLinearOperator with all diagonal entries exponentiated.

Return type:

LinearOperator (… x M x N)

inverse()

Returns the inverse of the DiagLinearOperator.

Return type:

LinearOperator (… x N x N)