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关于几种广义逆矩阵及其应用的探讨
引用本文:马秀珍,韩静华. 关于几种广义逆矩阵及其应用的探讨[J]. 沈阳航空工业学院学报, 2005, 22(2): 74-75
作者姓名:马秀珍  韩静华
作者单位:沈阳航空工业学院理学系,辽宁,沈阳,110034
摘    要:矩阵是工程技术以及经济管理等领域的不可缺少的数学工具,凡是用到矩阵的地方,基本上都要涉及广义逆矩阵,尤其数值分析与数理统计有着重要作用。广义逆矩阵共15类,但最常用有5类,包括A{1},A{1,2},A{1,3},A{1.4},A{1,2,3,4}.主要讨论这5类广义逆矩阵的计算及其应用.

关 键 词:广义逆矩阵  矩阵方程  自反广义逆  最小范数广义逆  通解
文章编号:1007-1385(2005)02-0074-02
修稿时间:2005-01-07

Study on generalized inverse matrix and its application
MA Xiu-zhen,HAN Jing-hua. Study on generalized inverse matrix and its application[J]. Journal of Shenyang Institute of Aeronautical Engineering, 2005, 22(2): 74-75
Authors:MA Xiu-zhen  HAN Jing-hua
Abstract:Matrices are indispensable mathematics tool in field of engineering technology and economy management. Generalized inverse of matrices are involved basically when matrix is used, especially in numerical analysis and mathematical statistics. There are 15 category of generalized inverses of matrices , and {1},{1,2},{1,3},{1,4},{1,2,3,4} are used mostly in the field of engineering and economy, calculation and application of the five categories are discussed in this paper.
Keywords:generalized inverse matrix   matrix equation   reflexive g-inverse   minimal norm g-inverse   complete solution  
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