centrosymmetry

(redirected from centrosymmetric)
Also found in: Dictionary, Thesaurus, Wikipedia.

centrosymmetry

[¦sen·trō′sim·ə·trē]
(physics)
Property of a body or system which is unchanged under space inversion through a specified point.
References in periodicals archive ?
n]x) are invariant subspaces of the centrosymmetric matrix B.
Inversion formulas for centrosymmetric T + H Bezoutian of odd and even order are proved in Section 7 and Section 8, respectively.
Here we design an algorithm for the computation of the inverse of a centrosymmetric T + H Bezoutian B of order n.
Besides the inversion of centrosymmetric T + H Bezoutians, there is the related interesting problem of the inversion of centroskewsymmetric T + H Bezoutians.
An n x n matrix A is called centrosymmetric if A = [J.
Thus, a Toeplitz matrix is symmetric if and only if it is centrosymmetric, while a Hankel matrix is persymmetric if and only if it centrosymmetric.
A centrosymmetric T + H matrix is always symmetric and persymmetric.
We first consider the general case, then the centrosymmetric case, and finally more specific cases that will also be encountered.
Each centrosymmetric matrix A can be uniquely written as the sum of two (centrosymmetric) matrices A = [A.
8), (9) can be also obtained directly from the Dirac equation in a curved spacetime, corresponding to a weak centrosymmetric gravitational field (2).
T] is a real symmetric matrix, we only need to prove that A is a centrosymmetric matrix if and only if J[alpha] = [alpha] or J[alpha] = -[alpha].
4] FanLiang Li, XiYan Hu, Lei Zhang, Structures and properties of generalized centroSymmetric matrices, Journal of Hunan University (Natural Sciences), 2005, No.