Open AccessOn the Kronecker Product of Matrices and Their Applications To Linear Systems Via Modified QR-Algorithm
Author(s) -
N Vellanki Lakshmi,
Jajula Madhu,
Musa Dileep Durani
Publication year - 2021
Publication title -
international journal of engineering and computer science
Language(s) - English
Resource type - Journals
ISSN - 2319-7242
DOI - 10.18535/ijecs/v10i6.4600
Subject(s) - kronecker product , kronecker delta , singular value decomposition , trace (psycholinguistics) , rank (graph theory) , product (mathematics) , matrix (chemical analysis) , computer science , qr decomposition , mathematics , polynomial , algorithm , combinatorics , mathematical analysis , eigenvalues and eigenvectors , materials science , quantum mechanics , composite material , linguistics , philosophy , physics , geometry
This paper studies and supplements the proofs of the properties of the Kronecker Product of two matrices of different orders. We observe the relation between the singular value decomposition of the matrices and their Kronecker product and the relationship between the determinant, the trace, the rank and the polynomial matrix of the Kronecker products. We also establish the best least square solutions of the Kronecker product system of equations by using modified QR-algorithm.