Bingzhe Hou

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20242026

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math.FA2026

Complex Representatives, Similarity Invariants, and Iterates in $U (1, 1; H)$

Bingzhe Hou, Cailing Yao, Jiaxing He

We study the similarity classes of matrices in $U (1, 1; H)$ and the iterates of their associated quaternionic Möbius transformations. Building on the known elliptic case, we…

math.GM2026

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 $S_{m} (n) = \sum_{i = 1}^{n} (a_{0} + (i - 1) d)^{m}$ in which the Bernoulli numbers enter as constants of integration rath…

math.RA2026

$i$ -conjugate for quaternionic matrices and related properties

Cailing Yao, Bingzhe Hou, Xiaoqi Feng

Motivated by the result that a complex $n \times n$ matrix $A$ being unitarily equivalent to a real matrix, we extend the conclusion to the quaternion skew field in this paper, we p…

Complex Representatives, Similarity Invariants, and Iterates in U(1,1;H)

A Symbolic Differentiation_Summation Framework for Power Sums of Arithmetic Sequences

i-conjugate for quaternionic matrices and related properties

Complex Representatives, Similarity Invariants, and Iterates in $U (1, 1; H)$

$i$ -conjugate for quaternionic matrices and related properties