idempotent matrix

idempotent matrix

[¦i‚dem¦pōt·ənt ′mā·triks]
(mathematics)
A matrix E satisfying the equation E 2= E.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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
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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