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IEVref: | 102-06-19 | ID: | |

Language: | en | Status: Standard | |

Term: | Hermitian conjugate matrix | ||

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Definition: | for a complex matrix with elements AA, matrix denoted by _{ij}A^{H}, equal to the complex conjugate of the transpose matrix: A^{H} = (A^{T})* or for elements ${\left({A}^{H}\right)}_{ij}={A}_{ji}^{*}$ Note 1 to entry: If the matrix Note 2 to entry: The Hermitian conjugate matrix of a matrix A^{H} or sometimes A^{†}. The notation * is also used in mathematics. A | ||

Publication date: | 2008-08 | ||

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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 | ||

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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