文章基本信息

标题：Kronecker Product of Matrices and Applications to Two-Point Boundary Value Problems Associated With First Order Matrix Difference Systems
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作者：Sriram Bhagavathula ; P.Sailaja ; K.N.Murty 等
期刊名称：International Journal of Engineering and Computer Science
印刷版ISSN：2319-7242
出版年度：2022
卷号：11
期号：1
DOI：10.18535/ijecs/v11i01.4648
语种：English
出版社：IJECS
摘要：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.
关键词：First order difference system;Kronecker product decomposition;Fundamental matrix solution;Cholesky decomposition and QR-algorithms AMS(MOS)