Skew Hermitian Part
Every complex matrix A can be broken into a Hermitian part A_H congruent 1/2(A + A^H) (i.e., A_H is a Hermitian matrix) and an antihermitian part A_(A H) congruent 1/2(A - A^H) (i.e., A_(A H) is an antihermitian matrix). Here, A^H denotes the conjugate transpose.