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.
作者
张爱萍
ZHANG Aiping(Fenyang Normal School of Mathematics and Science,Lvliang University,Fenyang 032200,China)
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
关键词
广义逆矩阵
广义逆矩阵A-
等价命题
存在性
generalized inverse matrix
generalized inverse matrix A-
equivalent proposition
existence
