Skew-symmetric Matrices

\(\operatorname{Skew}(n)\) is the vector space of skew-symmetric matrices:

\[\operatorname{Skew}(n) = \{X \in \mathbb{R}^{n \times n}\:\mid\: X^\intercal = -X \}\]
class geotorch.Skew(lower=True)[source]

Vector space of skew-symmetric matrices, parametrized in terms of the upper or lower triangular part of a matrix.

Parameters

  • size (torch.size) – Size of the tensor to be parametrized

  • lower (bool) – Optional. Uses the lower triangular part of the matrix to parametrize the matrix. Default: True

static in_manifold(X)[source]