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Area Mathematics - General concepts and linear algebra / Matrices

IEV ref102-06-27

en
Hermitian matrix
complex square matrix the elements of which have the property: A ij = A ji * MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba GaamyAaiaadQgaaeqaaOGaeyypa0JaamyqamaaDaaaleaacaWGQbGa amyAaaGcbaqcLbsacGaGSpOkaaaaaaa@3EBA@

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

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.


fr
matrice hermitienne, f
matrice carrée complexe dont les éléments ont la propriété: A ij = A ji * MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba GaamyAaiaadQgaaeqaaOGaeyypa0JaamyqamaaDaaaleaacaWGQbGa amyAaaGcbaqcLbsacGaGSpOkaaaaaaa@3EBA@

Note 1 à l'article: Une matrice hermitienne A est égale à son adjointe AH.

Note 1 à l'article: 2 Toutes les valeurs propres d'une matrice hermitienne sont réelles.

Note 3 à l'article: Toute matrice symétrique à éléments réels est une matrice hermitienne.


de
hermitesche Matrix, f
selbstadjungierte Matrix, f

es
matriz hermítica

ja
エルミート行列

pl
macierz Hermite’a

pt
matriz hermitiana

sr
Ермитова матрица, ж јд

sv
hermitisk matris

zh
埃尔米特矩阵

Publication date: 2008-08
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