irreducible tensor

irreducible tensor

[‚ir·ə′dü·sə·bəl ′ten·sər]
(mathematics)
A tensor that cannot be written as the inner product of two tensors of lower degree.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
defined the primitivity of nonnegative tensors (as Definition 1), extended the theory of nonnegative matrices to nonnegative tensors, and proved the convergence of the NQZ method which is an extension of the Collatz method and can be used to find the largest eigenvalue of any nonnegative irreducible tensor.
Some algorithms for computing the largest eigenvalue of an irreducible tensor were proposed; see, for instance, [8-10].
Clebsch-Gordan coefficients and irreducible tensor operators, Sov.
KHARITONOV, Tree technique and irreducible tensor operators for the S[U.sub.q] (2) quantum algebra.
First, a series expansion of the ODF into spherical harmonics will be performed (Section 2); second, after a short introduction to symmetric irreducible tensors (Section 3), the correspondence of symmetric irreducible tensors with spherical harmonics will be shown (Section 4).
The use of symmetric irreducible tensors to represent a spherical function dates back to at least Ludwig Waldmann [1] in the theory of molecular gases.