广义逆矩阵A^+研究  

Research on Generalized Inverse Matrix

作　　者：田东霞 TIAN Dong-xia(Fenyang Normal School, Lvliang University, Fenyang 032200, China)

机构地区：[1]吕梁学院汾阳师范分校,山西汾阳032200

出　　处：《西安文理学院学报（自然科学版）》2020年第4期6-11,共6页Journal of Xi’an University(Natural Science Edition)

摘　　要：广义逆矩阵是矩阵论的一个重要分支,也是矩阵分析的基础之一,广泛地应用于控制论、系统识别和优化论等领域.广义逆矩阵A^+是一种特殊的广义逆矩阵,它不仅有着广泛的应用,而且还有许多有趣的性质.介绍了广义逆矩阵A^+的概念,给出了几个有关广义逆矩阵A^+的结论,并探讨了几种广义逆矩阵A^+的计算方法.Generalized inverse matrix is an important branch of matrix theory and one of the bases of matrix analysis.It is widely used in control theory,system identification and optimization theory,etc.Generalized inverse matrix is a special kind of generalized inverse matrix.It not only has a wide range of applications,but also has many interesting properties.In this paper,the concept of generalized inverse matrix is introduced,some conclusions about generalized inverse matrix are given,and several calculation methods of generalized inverse matrix are discussed.

关 键 词：广义逆矩阵 矩阵分析 矩阵论 控制论 系统识别 计算方法 优化论 分支 

分 类 号：O151.21[理学—数学]