The solvability and the exact solution of a system of real quaternion matrix equations | Zendy

Xiang Zhang | Zendy; QingWen Wang | Zendy

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The solvability and the exact solution of a system of real quaternion matrix equations

Author(s) -

Xiang Zhang,

QingWen Wang

Publication year - 2013

Publication title -

banach journal of mathematical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.595

H-Index - 23

eISSN - 2662-2033

pISSN - 1735-8787

DOI - 10.15352/bjma/1363784232

Subject(s) - quaternion , mathematics , matrix (chemical analysis) , pure mathematics , algebra over a field , mathematical analysis , geometry , materials science , composite material

In this paper, we establish necessary and sucient conditions for the solvability of the system of real quaternion matrix equations 8 > > A1X = C1; Y B1 = D1; A2Z = C2;ZB2 = D2;A3ZB3 = C3; A4X + Y B4 + C4ZD4 = E1: We also present an expression of the general solution to the system. The ndings of this paper widely extend the known results in the literature.

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