4 papers
-conjugate for quaternionic matrices and related properties
Cailing Yao, Bingzhe Hou, Xiaoqi Feng
Motivated by the result that a complex matrix being unitarily equivalent to a real matrix, we extend the conclusion to the quaternion skew field in this paper, we p…
The -conjugation of quaternionic matrices and generalized Autonne-Takagi factorization
Cailing Yao, Bingzhe Hou, Yue Xin
Let be a quaternion of modulus . In this article, we study some topics related to -conjugation for quaternionic matrices, including -Hermitian matrices, -conjugate…
G-LoG Bi-filtration for Medical Image Classification
Qingsong Wang, Jiaxing He, Bingzhe Hou +3
Building practical filtrations on objects to detect topological and geometric features is an important task in the field of Topological Data Analysis (TDA). In this paper, leveragi…
Some invariants of and diagonalization
Cailing Yao, Bingzhe Hou, Xiaoqi Feng
Denote by the set of all quaternions. We are interested in the group , which is a subgroup of quaternionic matrix group and is sometimes…