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Antihermitian Part

Every complex matrix A can be broken into a Hermitian part

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

(i.e., A_H is a Hermitian matrix) and an antihermitian part

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

(i.e., A_(AH) is an antihermitian matrix). Here, A^(H) denotes the conjugate transpose.

See also

Antihermitian Matrix, Antisymmetric Matrix, Antisymmetric Part, Hermitian Matrix, Symmetric Matrix, Symmetric Part

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Cite this as:

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

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