4 papers
Matrix Theory over the Complex Quaternion Algebra
Yongge Tian
We present in this paper some fundamental tools for developing matrix analysis over the complex quaternion algebra. As applications, we consider generalized inverses, eigenvalues a…
Matrix Representations of Octonions and Their Applications
Yongge Tian
As is well-known, the real quaternion division algebra is algebraically isomorphic to a 4-by-4 real matrix algebra. But the real division octonion algebra ca…
Similarity and Consimilarity of Elements in Real Cayley-Dickson Algebras
Yongge Tian
A set of valuable universal similarity factorization equalities is established over complex Clifford algebras $\Cn.$ Through them matrix representations of complex Clifford algebra…
Universal Similarity Factorization Equalities over Complex Clifford Algebras
Yongge Tian
A set of valuable universal similarity factorization equalities are established over complex Clifford algebras $\Cn.$ Through them matrix representations of complex Clifford algebr…