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arXiv · 2610.14692

Diagonalization of skew-Hermitian dual quaternion matrices and $ϕ$-Hermitian dual quaternion matrices

Cailing Yao·Bingzhe Hou
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Abstract

In this article, we present the diagonalization of skew-Hermitian dual quaternion matrices in the sense of unitary equivalence. For a unit quaternion $ϕ$, we also obtain the diagonalization result of $ϕ$-Hermitian dual quaternion matrices in the sense of unitary $ϕ$-congruence, which generalizes the Autonne--Takagi factorization of symmetric complex matrices and $ϕ$-Hermitian quaternion matrices.

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Cailing Yao, Bingzhe Hou. 2026-10-10. Diagonalization of skew-Hermitian dual quaternion matrices and $ϕ$-Hermitian dual quaternion matrices. https://arxiv.org/abs/2610.14692

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