Gramian

См. также в других словарях:

• 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

• gramian — wv/t2 to anger, enrage; gramigende raging …   Old to modern English dictionary

• 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

• 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

• 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

• Hankel singular value — In control theory, Hankel singular values, named after Hermann Hankel, provide a measure of energy for each state in a system. They are the basis for balanced model reduction, in which high energy states are retained while low energy states are… …   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

• Mercer's theorem — In mathematics, specifically functional analysis, Mercer s theorem is a representation of a symmetric positive definite function on a square as a sum of a convergent sequence of product functions. This theorem, presented in (Mercer 1909), is one… …   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