对于一类矩阵方程组对称解的探索与实践

doi:10.16039/j.cnki.cn22-1249.2022.01.013

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摘要

约束矩阵方程组在振动理论、结构设计、系统辨识、数学控制理论、振动理论、地质学等诸多领域中有重要的应用价值.文章分析了矩阵方程组 , 对称解的迭代算法,使用该算法能够自动判断对称解的情况.当矩阵方程组相容时,能够得到矩阵方程组的对称解.

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	吕睿星
	孙王杰
	马俊

关键词: 矩阵方程组对称解迭代法

Abstract:

Constrained matrix equations have important applications in vibration theory, structural design, system identification, mathematical control theory, vibration theory, geology and many other fields. In this paper, the iterative method for symmetric solutions of matrix equations, is analyzed. When the matrix equations are consistent, the symmetric solutions of the matrix equations can be obtained.

Key words: Matrix system of equations Symmetric solutions Iterative method

出版日期: 2022-01-25 发布日期: 2022-01-25 整期出版日期: 2022-01-25

O241.6

引用本文:

吕睿星, 孙王杰, 马俊. 对于一类矩阵方程组对称解的探索与实践 [J]. 吉林化工学院学报, 2022, 39(1): 72-75.
LV Ruixing, SUN Wangjie, MA Jun. Exploration and Practice of the Symmetric Solutions of a Type of Matrix Equations . Journal of Jilin Institute of Chemical Technology, 2022, 39(1): 72-75.

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https://xuebao.jlict.edu.cn/CN/10.16039/j.cnki.cn22-1249.2022.01.013 或 https://xuebao.jlict.edu.cn/CN/Y2022/V39/I1/72

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