TOPICS
Search

Hermitian Part

The Hermitian part of a complex matrix A is

A_H=1/2(A+A^H),

and its antihermitian part is

A_(AH)=1/2(A-A^H).

Thus A_H is a Hermitian matrix and A_(AH) is an antihermitian matrix. Here, A^H denotes the conjugate transpose.

See also

Antihermitian Matrix, Antihermitian Part, Antisymmetric Matrix, Antisymmetric Part, Conjugate Transpose, Hermitian Matrix, Symmetric Matrix, Symmetric Part

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Hermitian Part." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HermitianPart.html

Subject classifications