On the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0807-6
Abstract: We consider the solution of elliptic problems on the tensor product of two physical domains as for example present in the approximation of the solution covariance of elliptic partial differential equations with random input. Previous… read more here.
Keywords: construction; construction sparse; tensor product; algebraic construction ... See more keywords
A survey on applications of semi-tensor product method in engineering
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DOI: 10.1007/s11432-017-9238-1
Abstract: Semi-tensor product (STP) of matrices has attracted more and more attention from both control theory and engineering in the last two decades. This paper presents a comprehensive survey on the applications of STP method in… read more here.
Keywords: semi tensor; engineering; method; survey applications ... See more keywords
Tensor-product representation of Laplace-Runge-Lenz vector for two-body Kepler systems
Sign Up to like & getrecommendations! Published in 2017 at "Wuhan University Journal of Natural Sciences"
DOI: 10.1007/s11859-017-1215-8
Abstract: A unified tensor-product representation of Laplace-Runge-Lenz (LRL) vector about inversely-quadric and centric-force systems is derived. For a two-body Kepler system under gravitation or Coulomb force, the modified and unified tensor- product representation of LRL vector… read more here.
Keywords: vector; product; product representation; tensor product ... See more keywords
Finiteness conditions for the box-tensor product of groups and related constructions
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DOI: 10.1016/j.jalgebra.2021.08.010
Abstract: Abstract We study finiteness conditions and closure properties for the box-tensor product G ⊠ H and related constructions. The content of this paper extends some results concerning the non-abelian tensor product of groups G ⊗… read more here.
Keywords: finiteness conditions; non abelian; tensor product; related constructions ... See more keywords
Coupled Electron Pair-Type Approximations for Tensor Product State Wave Functions.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.2c00589
Abstract: Size extensivity, defined as the correct scaling of energy with system size, is a desirable property for any many-body method. Traditional configuration interaction (CI) methods are not size extensive, hence the error increases as the… read more here.
Keywords: electron pair; coupled electron; tensor product; size ... See more keywords
On the ideal structure of the tensor product of nearly simple algebras
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1710842
Abstract: Abstract We define a unital algebra A over a field to be nearly simple if A contains a unique non-trivial ideal IA such that If A and B are two nearly simple algebras over ,… read more here.
Keywords: simple algebras; nearly simple; structure tensor; tensor product ... See more keywords
Exponentiation Representation of Boolean Matrices in the Framework of Semi-Tensor Product of Matrices
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2948357
Abstract: Semi-tensor product of matrices (STP of matrices) is a new matrix product and has been successfully applied to many fields, especially to logical dynamic systems. This paper considers how to represent a Boolean matrix as… read more here.
Keywords: semi tensor; product matrices; tensor product; boolean matrices ... See more keywords
Exploiting Semi-Tensor Product Compressed Sensing and Hybrid Cloud for Secure Medical Image Transmission
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Internet of Things Journal"
DOI: 10.1109/jiot.2022.3228781
Abstract: With the development of telemedicine diagnosis technology, the collection, storage, and transmission of medical data has become a pivotal problem. To solve these problems, in terms of semi-tensor product compressed sensing (STP-CS) and hybrid cloud,… read more here.
Keywords: semi tensor; transmission; medical image; tensor product ... See more keywords
Optimal Interleavers for Classical and Quantum Tensor Product Codes
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DOI: 10.1109/lcomm.2021.3110236
Abstract: By exploiting the subblock structure of a tensor product code, we provide an upper bound on the maximum correctable burst length of tensor product codes used with interleavers designed based on only the minimum distance… read more here.
Keywords: product codes; product; tensor product; optimal interleavers ... See more keywords
Asymmetric Quantum Concatenated and Tensor Product Codes With Large Z-Distances
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DOI: 10.1109/tcomm.2021.3064566
Abstract: In this paper, we present a new construction of asymmetric quantum codes (AQCs) by combining classical concatenated codes (CCs) with tensor product codes (TPCs), called asymmetric quantum concatenated and tensor product codes (AQCTPCs) which have… read more here.
Keywords: asymmetric quantum; tex math; inline formula; tensor product ... See more keywords
Simple derivations on tensor product of polynomial algebras
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498817500839
Abstract: Let A be an unique factorization domain containing a field k of characteristic zero and let A[X] and A[Y ] be two k-algebras. Let d1 and d2 be two generalized triangular k-derivations of A[X] and… read more here.
Keywords: derivation simple; derivations tensor; simple derivation; derivation ... See more keywords