The SkewLinearAlgebra package provides specialized matrix types, optimized methods of LinearAlgebra functions, and a few entirely new functions for dealing with linear algebra on skew-Hermitian matrices, especially for the case of real skew-symmetric matrices.
In particular, it defines new SkewHermitian and SkewHermTridiagonal matrix types supporting optimized eigenvalue/eigenvector,
Hessenberg factorization, and matrix exponential/trigonometric functions. It also provides functions to compute the
Pfaffian of skew-symmetric matrices, along with a Cholesky-like factorization for real skew-symmetric matrices.
See the Documentation for details.