identity matrix

identity matrix

A square matrix with 1's along the diagonal from upper left to lower right and 0's in all other positions, constituting the identity element for matrix multiplication.

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Noun

identity matrix - a scalar matrix in which all of the diagonal elements are unity

unit matrix

scalar matrix - a diagonal matrix in which all of the diagonal elements are equal

Translations

matriz identidad

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References in periodicals archive

In Figures 9(a)-9(f), we show the fill for i =1 and i =2 for an example with n = 13 and k = 3 assuming Q is initially the identity matrix. Above some of the affected columns in each figure we indicate which transformation in Figures 1(a)-c is being used.

Band Reduction Algorithms Revisited

In other words, when E is not a multiple of the identity matrix (a matrix with ones along the diagonal and zeros everywhere else).

The evolution of canalization and the breaking of Von Baer's laws: modeling the evolution of development with epistasis

where [n.sub.1] is the order of A; [n.sub.2] the order of B; [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] the identity matrix of order [n.sub.i] and "+" represents the usual operation of matrix addition.

Efficient Descriptor-Vector Multiplications in Stochastic Automata Networks

where: [[Epsilon]] is the n x n matrix of all own and cross price elasticities of demand in the economy; [I] is the n x n identity matrix; and [[Phi]] and [([Omega] - [Phi])] are n x 1 matrices of [[Phi].sub.u]'s and ([Omega].sub.u] - [[Phi].sub.u])'s, u = 1, ..., n.

Walrasian equilibrium and cointegration

for 0[less than or equal to]s[less than or equal to]t<[infinity], I being the identity matrix.

Generalized Variation of Constants Formula and perturbations of linear integro-differential equations

This will yield the identity matrix. Z+.x *Z 1 0 0 1

Economics: on-line and interactive

Common computation method shared in the application of these two techniques is that one have a destination estimate [??] and an initial matrix [??], which are usually scaled identity matrix and empirical covariance, respectively.

Covariance Features for Trajectory Analysis

With I we denote the identity matrix. Given a vector v [member of] [C.sup.N], we use diag(v) for the matrix with v in its diagonal entries and zero elsewhere.

The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour

where [I.sub.n_1] is the identity matrix of order n - 1.

AN OPTIMAL Q-OR KRYLOV SUBSPACE METHOD FOR SOLVING LINEAR SYSTEMS

(ii) Using an identity matrix as channel matrix--with no fading applied ("baseline" measurement): this measurement can be seen as if the UE would directly be connected to the BSE by wires.

Validation of the Decomposition Method for Fast MIMO Over-the-Air Measurements

where [G.sub.d] is the (co)variance matrix of random direct additive genetic effects; [G.sub.m] is the (co) variance matrix of random maternal additive genetic effects; Q is the (co)variance matrix of random permanent maternal environment effects; R is the (co)variance matrix of random residual effects, A is the numerator relationship matrix, [I.sub.v] is the identity matrix with order v, where v is the number of mothers, [I.sub.n] is the identity matrix with order n, where n is the number of observations, and [R] is the Kronecker product operator.

Multi-trait analysis of growth traits: fitting reduced rank models using principal components for Simmental beef cattle/Efetividade da reducao da dimensao da matriz de covariancia do efeito genetico direto na avaliacao genetica do crescimento em bovinos Simental