5 papers
Complex Representatives, Similarity Invariants, and Iterates in
Bingzhe Hou, Cailing Yao, Jiaxing He
We study the similarity classes of matrices in and the iterates of their associated quaternionic Möbius transformations. Building on the known elliptic case, we…
A Symbolic Differentiation_Summation Framework for Power Sums of Arithmetic Sequences
Ahmed Abdlmohsin Abdlsahib
We give a self-contained derivation of the closed form of the power sums in which the Bernoulli numbers enter as constants of integration rath…
-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…
Cowen-Douglas operators on quaternionic Hilbert spaces
Xiaoqi Feng, Bingzhe Hou, Kui Ji
In 1978, M. J. Cowen and R. G. Douglas introduced a class of geometric operators (known as Cowen-Douglas class of operators) and associated a Hermitian holomorphic vector bundle to…
Stable Similarity Comparison of Persistent Homology Groups
Jiaxing He, Bingzhe Hou, Tieru Wu +1
Classification in the sense of similarity is an important issue. In this paper, we study similarity classification in Topological Data Analysis. We define a pseudometric $d_{S}^{(p…