idempotent matrix

idempotent matrix

[¦i‚dem¦pōt·ənt ′mā·triks]
(mathematics)
A matrix E satisfying the equation E 2= E.
References in periodicals archive ?
Let G = (V , w) be the associated graph of a non-negative idempotent matrix of dimension N, where V={1..N}.
Efficient Clustering Protocol Based on Stochastic Matrix & MCL and Data Routing for Mobile Wireless Sensors Network
Matrix S is shown which is a symmetric and idempotent matrix as follows:
A New Method of Hypothesis Test for Truncated Spline Nonparametric Regression Influenced by Spatial Heterogeneity and Application
In 2017, we showed that a maximal subgroup of the multiplicative semigroup of n x n tropical matrices containing a nonsingular idempotent matrix E is isomorphic to the group of all invertible matrices which commute with E as groups and proved that each maximal subgroup of the multiplicative semigroup of n x n tropical matrices with the identity of the rank r is isomorphic to some maximal subgroup of the multiplicative semigroup of r x r tropical matrices with nonsingular identity.
The Tropical Matrix Groups with Symmetric Idempotents
is an idempotent matrix with rank r(b - a); we have
MANOVA for nested designs with unequal cell sizes and unequal cell covariance matrices
Note that the idempotent matrix AA[degrees] is the projector on R([A.sup.k]) along N([A.sup.k]), where R([A.sup.k]) denotes the range of [A.sup.k] and N([A.sup.k]) is the null space of [A.sup.k].
A higher order iterative method for computing the Drazin inverse
is an n x n symmetric idempotent matrix with rank n - p in which the prime denotes the matrix transposition and [(X'X).sup.-] is a generalized inverse of X'X.
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
and so the element p[[[gamma].sup.1]] is represented by the idempotent matrix of order 2p,
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
As in Result 1, though, the null space of the idempotent matrix I -[[beta].sup.T][([beta]W[[beta].sup.T]).sup.-1][beta]W is spanned by linear combinations of the columns of [[beta].sup.T].
Mimicking portfolios, economic risk premia, and tests of multi-beta models
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
A demand system for a gambling market: on the relative efficiency of restricted estimators for singular systems of equations
Note that the idempotent matrix A[A.sup.D] is the projector on R([A.sup.k]) alongside N([A.sup.k]), whereas R([A.sup.k]) denotes the range of [A.sup.k] and N([A.sup.k]) is the null space of [A.sup.k].
An Improved Computationally Efficient Method for Finding the Drazin Inverse
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