Hermitian matrix
noun Etymology: Charles Hermite died 1901 French mathematician Date: 1935 a square matrix having the property that each pair of elements in the ith row and jth column and in the jth row and ith column are conjugate complex numbers

New Collegiate Dictionary. 2001.

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  • Hermitian matrix — A Hermitian matrix (or self adjoint matrix) is a square matrix with complex entries which is equal to its own conjugate transpose mdash; that is, the element in the i th row and j th column is equal to the complex conjugate of the element in the… …   Wikipedia

  • Hermitian matrix — ermitinė matrica statusas T sritis fizika atitikmenys: angl. Hermitian matrix; self adjoint matrix vok. Hermite Matrix, f; hermitesche Matrix, f; selbstadjungierte Matrix, f rus. самосопряжённая матрица, f; эрмитова матрица, f pranc. matrice… …   Fizikos terminų žodynas

  • hermitian matrix — hər¦mishən , erˈmēshən noun Usage: usually capitalized H Etymology: Charles Hermite died 1901 French mathematician + English ian : a square matrix having the property that each pair of elements comprised of one in the ith row and jth column and… …   Useful english dictionary

  • Hermitian matrix — Math. a matrix, whose entries are complex numbers, equal to the transpose of the matrix whose entries are the conjugates of the entries of the given matrix. [1925 30; after C. HERMITE; see IAN] * * * …   Universalium

  • Skew-Hermitian matrix — In linear algebra, a square matrix (or more generally, a linear transformation from a complex vector space with a sesquilinear norm to itself) A is said to be skew Hermitian or antihermitian if its conjugate transpose A * is also its negative.… …   Wikipedia

  • Moore determinant of a Hermitian matrix — Not to be confused with Moore determinant over a finite field. In mathematics, the Moore determinant is a determinant defined for Hermitian matrices over a quaternion algebra, introduced by Moore (1922). See also Dieudonné determinant… …   Wikipedia

  • Hermitian variety — Hermitian varieties are in a sense a generalisation of quadrics, and occur naturally in the theory of polarities.DefinitionLet K be a field with an involutive automorphism heta. Let n be an integer geq 1 and V be an (n+1) dimensional vectorspace… …   Wikipedia

  • Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

  • Hermitian manifold — In mathematics, a Hermitian manifold is the complex analog of a Riemannian manifold. Specifically, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space. One can also define …   Wikipedia

  • Hermitian — A number of mathematical entities are named Hermitian, after the mathematician Charles Hermite:*Hermitian adjoint *Hermitian connection *Hermitian form *Hermitian function *Hermitian hat wavelet *Hermitian kernel *Hermitian manifold/structure… …   Wikipedia

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