A Generalization of Hermite Matrix Inequalities in Quaternionic Self-Conjugate Matrices

本文给出四元数自共轭矩阵的导出阵表示，得到了两个四元数自共轭矩阵及其特征值的不等式。In this paper, the derived matrix representation of quaternionic self-conjugate matrices is given, and inequalities for two quaternionic self-conjugate matrices and their eigenvalues are obtained.

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Publication Details

Journal
Advances in Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/aam.2025.145236
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
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article

A Generalization of Hermite Matrix Inequalities in Quaternionic Self-Conjugate Matrices

兴 唐
Advances in Applied Mathematics
Advanced Mathematical Theories and Applications
article

A Generalization of Hermite Matrix Inequalities in Quaternionic Self-Conjugate Matrices

兴 唐
article en

Abstract

本文给出四元数自共轭矩阵的导出阵表示，得到了两个四元数自共轭矩阵及其特征值的不等式。In this paper, the derived matrix representation of quaternionic self-conjugate matrices is given, and inequalities for two quaternionic self-conjugate matrices and their eigenvalues are obtained.

Advances in Applied MathematicsVol. 14(05)
Reduced inequalities
Openalex Percentile: Top 92%
Advanced Mathematical Theories and Applications
DOIOpen Access PDFOpenAlex
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A Generalization of Hermite Matrix Inequalities in Quaternionic Self-Conjugate Matrices — 兴 唐 · Advances in Applied Mathematics (2025) | TGRS Research Map | TGRS