Open AccessThe common solution of twelve matrix equations over the quaternions
Author(s) -
Yuan Wang,
Qingwen Wang
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2203887y
Subject(s) - quaternion , mathematics , matrix (chemical analysis) , representation (politics) , norm (philosophy) , matrix representation , expression (computer science) , algebra over a field , pure mathematics , geometry , computer science , group (periodic table) , chemistry , organic chemistry , politics , political science , law , chromatography , programming language
In this paper, we investigate a system of twelve quaternion matrix equations. Using the real representation of a quaternion matrix, we first derive the least-squares solution with the least norm to the system. Meanwhile, we establish the solvability conditions and an expression of the general solution to the system when it is consistent.