IEVref: 102-06-19 ID: Language: en Status: Standard Term: Hermitian conjugate matrix Synonym1: Synonym2: Synonym3: Symbol: Definition: for a complex matrix A with elements Aij, matrix denoted by AH, equal to the complex conjugate of the transpose matrix: AH = (AT)* or for elements ${\left({A}^{H}\right)}_{ij}={A}_{ji}^{*}$ Note 1 to entry: If the matrix A is real, the Hermitian conjugate matrix reduces to the transpose matrix. Note 2 to entry: The Hermitian conjugate matrix of a matrix A is denoted by AH or sometimes A†. The notation A* is also used in mathematics. Publication date: 2008-08 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO 2017-08-25: Corrected order of i and sub tags. LMO 2020-01-27: typo in A ij * corrected to invert i and j. JGO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: