Gramian matrix
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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
Controllability Gramian — In control theory, the controllability Gramian is a Gramian used to determine whether or not a linear system is controllable. For the time invariant linear system the controllability Gramian is given by If the matrix Wc is nonsingular, i.e. Wc… … Wikipedia
Observability Gramian — The Observability Gramian is a Gramian used in optimal control theory to determine whether or not a linear system is observable. For a linear system described by The observability Gramian is given by If and only if the matrix Wo is nonsingular… … Wikipedia
Covariance matrix — A bivariate Gaussian probability density function centered at (0,0), with covariance matrix [ 1.00, .50 ; .50, 1.00 ] … Wikipedia
Hilbert matrix — In linear algebra, a Hilbert matrix is a matrix with the unit fraction elements: H {ij} = frac{1}{i+j 1}. For example, this is the 5 times; 5 Hilbert matrix::H = egin{bmatrix} 1 frac{1}{2} frac{1}{3} frac{1}{4} frac{1}{5} [4pt] frac{1}{2}… … Wikipedia
Overlap matrix — The overlap matrix is a square matrix, used in quantum chemistry to describe the inter relationship of a set of basis vectors of a quantum system. In particular, if the vectors are orthogonal to one another, the overlap matrix will be diagonal.… … Wikipedia
List of matrices — This page lists some important classes of matrices used in mathematics, science and engineering: Matrices in mathematics*(0,1) matrix a matrix with all elements either 0 or 1. Also called a binary matrix . *Adjugate matrix * Alternant matrix a… … Wikipedia
Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based … Wikipedia
List of mathematics articles (G) — NOTOC G G₂ G delta space G networks Gδ set G structure G test G127 G2 manifold G2 structure Gabor atom Gabor filter Gabor transform Gabor Wigner transform Gabow s algorithm Gabriel graph Gabriel s Horn Gain graph Gain group Galerkin method… … Wikipedia
Positive definite kernel — In operator theory, a positive definite kernel is a generalization of a positive matrix. Definition Let :{ H n } {n in {mathbb Z be a sequence of (complex) Hilbert spaces and :mathcal{L}(H i, H j)be the bounded operators from Hi to Hj . A map A… … Wikipedia
Gram (disambiguation) — Gram is a unit of measurement of mass. Otherwise, gram may refer to: gram, the Greek based suffix meaning drawing or representation. Contents 1 Places 2 People … Wikipedia
