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IEVref: | 102-06-27 | ID: | |

Language: | en | Status: Standard | |

Term: | Hermitian matrix | ||

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Definition: | complex square matrix the elements of which have the property: ${A}_{ij}={A}_{ji}^{*}$ Note 1 to entry: A Hermitian matrix A^{H}. Note 2 to entry: All eigenvalues of a Hermitian matrix are real. Note 3 to entry: Any symmetric matrix with real elements is a Hermitian matrix. | ||

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 | ||

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Note 1 to entry: A Hermitian matrix ** A** is equal to its Hermitian conjugate matrix

Note 2 to entry: All eigenvalues of a Hermitian matrix are real.

Note 3 to entry: Any symmetric matrix with real elements is a Hermitian matrix.