Yongge Tian

most citedEqualities and inequalities for Hermitian solutions and Hermitian definite solutions of the two matrix equations

A X = B

and

A X A^{*} = B

1 citations · 2 across the 2 of their papers we have counts for

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math.RA2013★ 1 cited

Equalities and inequalities for Hermitian solutions and Hermitian definite solutions of the two matrix equations $A X = B$ and $A X A^{*} = B$

Yongge Tian

This paper studies algebraic properties of Hermitian solutions and Hermitian definite solutions of the two types of matrix equation $A X = B$ and $A X A^{*} = B$ . We first establish a v…

math.RA2000

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…

math.RA2000

Matrix Representations of Octonions and Their Applications

Yongge Tian

As is well-known, the real quaternion division algebra $H$ is algebraically isomorphic to a 4-by-4 real matrix algebra. But the real division octonion algebra $O$ ca…

math.RA2000

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…

Equalities and inequalities for Hermitian solutions and Hermitian definite solutions of the two matrix equations AX=B and AXA∗=B

Matrix Theory over the Complex Quaternion Algebra

Matrix Representations of Octonions and Their Applications

Universal Similarity Factorization Equalities over Complex Clifford Algebras

Equalities and inequalities for Hermitian solutions and Hermitian definite solutions of the two matrix equations $A X = B$ and $A X A^{*} = B$