activity
20142017
most citedThe complete equivalence canonical form of four matrices over an arbitrary division ring

18 citations · 29 across the 5 of their papers we have counts for

collaborators

5 papers

math.RA2017★ 9 cited

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…

math.RA2017

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…

math.RA2017

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…

math.RA2016★ 18 cited

The complete equivalence canonical form of four matrices over an arbitrary division ring

Zhuo-Heng He, Qing-Wen Wang, Yang Zhang

In this paper, we give the complete structures of the equivalence canonical form of four matrices over an arbitrary division ring. As applications, we derive some practical necessa…

math.RA2014★ 2 cited

A simultaneous decomposition of seven matrices over real quaternion algebra and its applications

Zhuo-Heng He, Qing-Wen Wang

Let be the real quaternion algebra and denote the set of all matrices over . In this paper, we construct a simultaneou…