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On the Decomposition of Modular Tensors (I)

The Annals of Mathematics, 1942
The present paper is the second part of [8] (brackets refer to bibliography) referred to below as Part I. We number sections, formulae, theorems, etc. consecutively from those in Part I, and use the same notation. For instance, f is a field of characteristic p with q (?_ cc ) elements; Zi is a t-vector space of dimension n; (5 = 65(n, f) is the full ...
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Tensor Decomposition of Cooperative Games

SIAM Journal on Applied Mathematics, 1975
A decomposition theory for n-person games is introduced. A “unique factorization” theorem is proved. In general, every monotonic game has a unique decomposition with a quotient that is either prime or absolutely decomposable. Finally, an application to reliability theory is suggested.
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Spectral Decomposition of the Elasticity Tensor

Journal of Applied Mechanics, 1992
The elasticity tensor in anisotropic elasticity can be regarded as a symmetric linear transformation on the nine-dimensional space of second-order tensors. This allows the elasticity tensor to be expressed in terms of its spectral decomposition. The structures of the spectral decompositions are determined by the sets of invariant subspaces that are ...
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Tensor Ring decomposition for context-aware recommendation

Expert Systems With Applications, 2023
Yujun Li, Jianli Zhao, Yang Zhao
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Decomposition of Tensors of the Classical Groups

Journal of Mathematical Physics, 1967
A tensor symmetrization procedure obtained in a recent publication [Phys. Rev. Letters 16, 1058 (1966)] is shown to support rather than disprove Weyl's tensor symmetrization theorem. This ``extended'' symmetrization procedure differs from Weyl's approach in that to construct a subspace irreducible under GL(n, c) one starts with a set of formal states ...
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Adaptive Rank Selection for Tensor Ring Decomposition

IEEE Journal on Selected Topics in Signal Processing, 2021
Farnaz Sedighin   +2 more
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Triple Decomposition and Tensor Recovery of Third Order Tensors

SIAM Journal on Matrix Analysis and Applications, 2021
Liqun Qi, Yannan Chen, Mayank Bakshi
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Robust tensor completion using transformed tensor singular value decomposition

Numerical Linear Algebra With Applications, 2020
Guangjing Song   +2 more
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