complex orthogonal matrix

complex orthogonal matrix
комплексно ортогональная матрица

English-Russian scientific dictionary. 2008.

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  • Complex Hadamard matrix — A complex Hadamard matrix is any complex matrix H satisfying two conditions: unimodularity (the modulus of each entry is unity): orthogonality: , where denotes the Hermitian transpose of H and …   Wikipedia

  • Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… …   Wikipedia

  • Orthogonal group — Group theory Group theory …   Wikipedia

  • Matrix decomposition — In the mathematical discipline of linear algebra, a matrix decomposition is a factorization of a matrix into some canonical form. There are many different matrix decompositions; each finds use among a particular class of problems. Contents 1… …   Wikipedia

  • Matrix exponential — In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group.… …   Wikipedia

  • Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …   Wikipedia

  • Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

  • Complex conjugate root theorem — In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root… …   Wikipedia

  • orthogonal — orthogonality, n. orthogonally, adv. /awr thog euh nl/, adj. 1. Math. a. Also, orthographic. pertaining to or involving right angles or perpendiculars: an orthogonal projection. b. (of a system of real functions) defined so that the integral of… …   Universalium

  • Complex manifold — In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk[1] in Cn, such that the transition maps are holomorphic. The term complex manifold is variously used to mean a complex manifold in the sense… …   Wikipedia

  • Matrix congruence — In mathematics, two matrices A and B over a field are called congruent if there exists an invertible matrix P over the same field such that PTAP = B where T denotes the matrix transpose. Matrix congruence is an equivalence relation. Matrix… …   Wikipedia


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