9 citations · 11 across the 4 of their papers we have counts for
4 papers
Sylvester-type quaternion matrix equations with arbitrary equations and arbitrary unknowns
Zhuo-Heng He
In this paper, we prove a conjecture which was presented in a recent paper [Linear Algebra Appl. 2016; 496: 549--593]. We derive some practical necessary and sufficient conditions…
Tensor decompositions and tensor equations over quaternion algebra
Zhuo-Heng He, Carmeliza Navasca, Qing-Wen Wang
In this paper, we investigate and discuss in detail the structures of quaternion tensor SVD, quaternion tensor rank decomposition, and -Hermitian quaternion tensor decomposition…
A simultaneous decomposition of four real quaternion matrices encompassing -Hermicity and its applications
Zhuo-Heng He, Qing-Wen Wang
Let be the real quaternion algebra and denote the set of all matrices over . Let be…
Systems of four coupled one sided Sylvester-type real quaternion matrix equations and their applications
Zhuo-Heng He, Qing-Wen Wang
In this paper, we derive some necessary and sufficient solvability conditions for some systems of one sided coupled Sylvester-type real quaternion matrix equations in terms of rank…