广义逆矩阵A^-研究  

Study on Generalized Inverse Matrix A^-

作　　者：张爱萍 ZHANG Aiping(Fenyang Normal School of Mathematics and Science,Lvliang University,Fenyang 032200,China)

机构地区：[1]吕梁学院汾阳师范分校数学与科学系

出　　处：《安阳工学院学报》2019年第4期95-97,共3页Journal of Anyang Institute of Technology

摘　　要：广义逆矩阵是矩阵分析的基础之一,也是矩阵论的一个重要分支,广泛地应用于控制理论、系统识别和优化理论等领域。介绍了广义逆矩阵及广义逆矩阵A^-的概念,研究了广义逆矩阵A^-的存在性及其性质,并对广义逆矩阵A^-的求法进行了探讨,给出了一种求广义逆矩阵A^-的常用方法。Generalized inverse matrix is one of the foundations of matrix analysis and an important branch of ma. trix theory.It is widely used in control theory,system identification and optimization theory.The concept of general. ized inverse matrix and generalized inverse matrix A^- is introduced.The existence and properties of generalized inverse matrix A^- are studied.The method of generalized inverse matrix A^- is also discussed.A common method for finding the generalized inverse matrix A^- is given.

关 键 词：广义逆矩阵 广义逆矩阵A- 等价命题 存在性 

分 类 号：O151.21[理学—数学]