IEVref:102-06-19ID:
Language:enStatus: 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 ( A H ) ij = A ji * MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaabmaabaGaaCyqam aaCaaaleqabaGaaiOkaaaaaOGaayjkaiaawMcaamaaBaaaleaacaWG PbGaamOAaaqabaGccqGH9aqpcaWGbbWaa0baaSqaaiaadMgacaWGQb aabaGaaiOkaaaaaaa@3F1F@

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 <mi>A</mi> <mrow> <mi>i</mi><mi>j</mi></mrow> <mo>*</mo> corrected to invert i and j. JGO
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5: