双四元赫米矩阵的摩尔行列式

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-10 DOI:10.1007/s40314-024-02884-3

Chunfeng Cui, Liqun Qi, Guangjing Song, Qing-Wen Wang

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引用次数: 0

摘要

本文将四元赫米矩阵的陈行列式和摩尔行列式扩展到对偶四元赫米矩阵。我们证明了对偶四元赫米矩阵的 Chen 行列式在两边进行加法、交换、乘法和单元运算时是不变的。然后，我们证明了对偶四元数赫米矩阵的陈行列式和摩尔行列式彼此相等，它们也等于特征值的乘积。我们还研究了对偶四元赫米矩阵的特征多项式。

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Moore determinant of dual quaternion Hermitian matrices

In this paper, we extend the Chen and Moore determinants of quaternion Hermitian matrices to dual quaternion Hermitian matrices. We show the Chen determinant of dual quaternion Hermitian matrices is invariant under addition, switching, multiplication, and unitary operations at the both hand sides. We then show the Chen and Moore determinants of dual quaternion Hermitian matrices are equal to each other, and they are also equal to the products of eigenvalues. The characteristic polynomial of a dual quaternion Hermitian matrix is also studied.

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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.