positive semidefinite matrix

positive semidefinite matrix
положительно полуопределённая матрица

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  • 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

  • Positive semidefinite — In mathematics, positive semidefinite may refer to: * positive semidefinite matrix * positive semidefinite function ee also* semidefinite bilinear form …   Wikipedia

  • Positiv semidefinite Matrix — Definitheit ist ein Begriff aus dem mathematischen Teilgebiet der linearen Algebra. Er beschreibt, welche Vorzeichen reelle quadratische Formen annehmen können, die durch Matrizen oder allgemeiner durch Bilinearformen erzeugt werden.… …   Deutsch Wikipedia

  • Semidefinite programming — (SDP) is a subfield of convex optimization concerned with the optimization of a linear objective function over the intersection of the cone of positive semidefinite matrices with an affine space.Semidefinite programming is a relatively new field… …   Wikipedia

  • Matrix norm — In mathematics, a matrix norm is a natural extension of the notion of a vector norm to matrices. Contents 1 Definition 2 Induced norm 3 Entrywise norms 3.1 Frobenius norm …   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 multiplication — In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. If A is an n by m matrix and B is an m by p matrix, the result AB of their multiplication is an n by p matrix defined only if… …   Wikipedia

  • Covariance matrix — A bivariate Gaussian probability density function centered at (0,0), with covariance matrix [ 1.00, .50 ; .50, 1.00 ] …   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

  • Gramian matrix — In linear algebra, the Gramian matrix (or Gram matrix or Gramian) of a set of vectors v 1,dots, v n in an inner product space is the symmetric matrix of inner products, whose entries are given by G {ij}=(v i|v j).An important application is to… …   Wikipedia

  • Linear matrix inequality — In convex optimization, a linear matrix inequality (LMI) is an expression of the form: LMI(y):=A 0+y 1A 1+y 2A 2+cdots+y m A mgeq0,where * y= [y i,, i!=!1dots m] is a real vector, * A 0,, A 1,, A 2,,dots,A m are symmetric matrices in the subspace …   Wikipedia


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