self-orthogonal matrix

self-orthogonal matrix
мат. самоортогональная матрица

Большой англо-русский и русско-английский словарь. 2001.

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  • Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

  • Symmetric matrix — In linear algebra, a symmetric matrix is a square matrix, A , that is equal to its transpose:A = A^{T}. ,!The entries of a symmetric matrix are symmetric with respect to the main diagonal (top left to bottom right). So if the entries are written… …   Wikipedia

  • 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

  • Random matrix — In probability theory and mathematical physics, a random matrix is a matrix valued random variable. Many important properties of physical systems can be represented mathematically as matrix problems. For example, the thermal conductivity of a… …   Wikipedia

  • Density matrix — Mixed state redirects here. For the psychiatric condition, see Mixed state (psychiatry). In quantum mechanics, a density matrix is a self adjoint (or Hermitian) positive semidefinite matrix (possibly infinite dimensional) of trace one, that… …   Wikipedia

  • Normal matrix — A complex square matrix A is a normal matrix if where A* is the conjugate transpose of A. That is, a matrix is normal if it commutes with its conjugate transpose. If A is a real matrix, then A*=AT. Hence, the matrix is normal if ATA = AAT.… …   Wikipedia

  • Positive-definite matrix — In linear algebra, a positive definite matrix is a matrix that in many ways is analogous to a positive real number. The notion is closely related to a positive definite symmetric bilinear form (or a sesquilinear form in the complex case). The… …   Wikipedia

  • Square root of a matrix — In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix product B · B is equal to A.[1] Contents 1 Properties 2 Computation methods …   Wikipedia

  • Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …   Wikipedia

  • Factor analysis — is a statistical method used to describe variability among observed, correlated variables in terms of a potentially lower number of unobserved, uncorrelated variables called factors. In other words, it is possible, for example, that variations in …   Wikipedia

  • Cayley transform — In mathematics, the Cayley transform, named after Arthur Cayley, has a cluster of related meanings. As originally described by Harvtxt|Cayley|1846, the Cayley transform is a mapping between skew symmetric matrices and special orthogonal matrices …   Wikipedia


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