关于矩阵Khatri-Rao乘积的若干矩阵不等式

曾诚; 何淦瞳

doi:10.13568/j.cnki.651094.2017.04.001

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关于矩阵Khatri-Rao乘积的若干矩阵不等式

研究精粹 | 更新时间：2026-01-21

- 关于矩阵Khatri-Rao乘积的若干矩阵不等式
- 关于矩阵Khatri-Rao乘积的若干矩阵不等式
- 新疆大学学报（自然科学版中英文） 2017年34卷第4期页码：379-385
- 作者机构：
  
  1. 贵州理工学院理学院
  2. 贵州大学数学与统计学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金(11161008);贵州省科学技术基金资助项目(黔科合LH字[2014]7362号)
- DOI：10.13568/j.cnki.651094.2017.04.001
  中图分类号： O151.21;O178
- 纸质出版：2017
- 稿件说明：
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[1]曾诚,何淦瞳.关于矩阵Khatri-Rao乘积的若干矩阵不等式[J],2017,34(04):379-385.
[1]曾诚,何淦瞳.关于矩阵Khatri-Rao乘积的若干矩阵不等式[J],2017,34(04):379-385. DOI： 10.13568/j.cnki.651094.2017.04.001.

DOI：10.13568/j.cnki.651094.2017.04.001.

摘要

矩阵Khatri-Rao乘积作为一种特殊的矩阵乘积

被广泛地应用于控制理论、多元统计和动力学模型等领域的研究中.本文建立了一系列关于矩阵Khatri-Rao乘积的矩阵不等式

这些不等式包含或推广了相应的研究成果

在理论推导的过程中

采用的研究工具是矩阵Schur补和分块矩阵的性质.

Abstract

It has been evident that the Khatri-Rao product has been widely used in the research of statistics

economic and dynamical systems as a special product form.The purpose of this paper is to present a family of matrix inequalities involving the Khatri-Rao product.Our theorems contain or extend some existing results.Schur complement and block matrices are a powerful tool.

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