Algebraic Relations among Four Types of Right Semi-Tensor Product | Zendy

Nating Chen | Zendy; Menglei Lin | Zendy; Yiliang Li | Zendy

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Algebraic Relations among Four Types of Right Semi-Tensor Product

Author(s) -

Nating Chen,

Menglei Lin,

Yiliang Li

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/1126757

Subject(s) - mathematics , tensor product , matrix (chemical analysis) , convertibility , algebra over a field , pure mathematics , algebraic number , tensor (intrinsic definition) , product (mathematics) , mathematical analysis , geometry , chemistry , chromatography , currency , monetary economics , economics

In this paper, algebraic relations among four kinds of right semi-tensor product (STP) are discussed. Firstly, this paper provides definitions of right STPs, consisting of the first right matrix-matrix STP, the second right matrix-matrix STP, the first right matrix-vector STP, and the second right matrix-vector STP. Secondly, relations among these right STPs are proposed. Finally, the main results show the convertibility of these right STPs.

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