idempotent matrix

[¦i‚dem¦pōt·ənt ′mā·triks]

(mathematics)

A matrix E satisfying the equation E ²= E.

References in periodicals archive ?

is an n x n symmetric idempotent matrix with rank n - p in which the prime denotes the matrix transposition and [(X'X).

R] is a symmetric idempotent matrix of rank k, Q is the symmetric rank (n - p) idempotent matrix given in equation (3), and [Q.

n-p] is an n x (n - p) matrix containing the eigenvectors of the unit eigenvalues of the symmetric idempotent matrix Q, such that

Distribucion de las transformaciones lineales de Los residuos minimos cuadrados Studentizados internamente

Beasley, Idempotent matrix preservers over Boolean algebras, J.

Linear operators preserving commuting pairs of matrices over semirings

1]] is represented by the idempotent matrix of order 2p,

If we apply this retraction map to our idempotent matrix [[gamma].

Given a smooth complex vector bundle [xi], represented by an idempotent matrix [phi] of order n, over the ring of smooth functions on the base, the Chern classes of [xi] in the standard de Rham cohomology of differential forms, are given as follows:

On the algebraic K-theory of R [X, Y, Z]/([X.sup.2] + [Y.sup.2] + [Z.sup.2] - 1)

If A is cube hermitian then A reduces to an idempotent matrix.

Generalized inverses of k-idempotent matrix

Let B be an n x n symmetric positive semi-definitive matrix and A be an n x n idempotent matrix of rank r |is less than or equal to~ n; let T be the matrix of the characteristic vectors of A and define

Thus, since A is an idempotent matrix, then by Theorem 1, we need only show that

A demand system for a gambling market: on the relative efficiency of restricted estimators for singular systems of equations