On the Kronecker Products and Their Applications | Zendy

Huamin Zhang | Zendy; Feng Ding | Zendy

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On the Kronecker Products and Their Applications

Author(s) -

Huamin Zhang,

Feng Ding

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/296185

Subject(s) - kronecker product , kronecker delta , mathematics , trace (psycholinguistics) , rank (graph theory) , matrix (chemical analysis) , permutation matrix , product (mathematics) , permutation (music) , matrix multiplication , algebra over a field , mathematical proof , pure mathematics , combinatorics , philosophy , linguistics , physics , materials science , geometry , quantum mechanics , circulant matrix , acoustics , composite material , quantum

This paper studies the properties of the Kronecker product related to the mixed matrix products, the vector operator, and the vec-permutation matrix and gives several theorems and their proofs. In addition, we establish the relations between the singular values of two matrices and their Kronecker product and the relations between the determinant, the trace, the rank, and the polynomial matrix of the Kronecker products

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