The solutions of the quaternion matrix equation AX + BX = 0-Reference-Cited by-同舟云学术

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The solutions of the quaternion matrix equation AX + BX = 0

Published:2023-12 Issue: Volume:678 Page:227-267
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Dong Liqiang,Li Jicheng

Funder

Chinese Universities Scientific Fund

Natural Science Basic Research Program of Shaanxi Province

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference28 articles.

1. Roth's solvability criteria for the matrix equations AX−XˆB=C and X−AXˆB=C over the skew field of quaternions with an involutive automorphism q↦qˆ;Futorny;Linear Algebra Appl.,2016

2. Generalization of Roth's solvability criteria to systems of matrix equations;Dmytryshyn;Linear Algebra Appl.,2017

3. Some of matrix equations over a finite field;Hodges;Ann. Mat. Pura Appl. (4),1957

4. The solution of the equation XA+AXT=0 and its application to the theory of orbits;Terán;Linear Algebra Appl.,2011

5. The solution of the matrix equation AX+XTC=B;Piao;J. Franklin Inst.,2007

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