Open AccessKronecker Product of Matrices and Applications to Two-Point Boundary Value Problems Associated With First Order Matrix Difference Systems
Author(s) -
Sriram Bhagavathula,
P. Sailaja,
K. N. Murty
Publication year - 2022
Publication title -
international journal of engineering and computer science
Language(s) - English
Resource type - Journals
ISSN - 2319-7242
DOI - 10.18535/ijecs/v11i01.4648
Subject(s) - kronecker product , kronecker delta , product (mathematics) , uniqueness , matrix (chemical analysis) , matrix multiplication , mathematics , order (exchange) , boundary value problem , set (abstract data type) , computer science , mathematical analysis , physics , geometry , materials science , finance , quantum mechanics , economics , composite material , quantum , programming language
This paper presents a criteria for the existence and uniqueness of solutions to two-point boundary value problems associated with a system of Kronecker product first order differential equation. Some of the natural questions on Kronecker product of matrices about seemingly“simple” cases are still unansweredin spite of their increasing interest and hence some significant results on Kronecker product of matrices are answered in this paper. We mainly explain a set of necessary and sufficient conditions on the decomposition of a matrix into Kronecker product of two matrices.