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广义逆 A_(T,S)~(( 2 ))的定义方程与显式表示
引用本文:陈永林. 广义逆 A_(T,S)~(( 2 ))的定义方程与显式表示[J]. 南京师大学报(自然科学版), 2000, 0(2)
作者姓名:陈永林
作者单位:南京师范大学数学与计算机科学学院!南京,210097
摘    要:证明了几个较简单的约束矩阵方程可作为广义逆 A(2 )T ,S的定义方程 ,并由此给出了 A(2 )T,S的两类显式表示 ;由于常用的广义逆均是 A(2 )T ,S型的 ,故容易得出它们的定义方程与显式表示 .

关 键 词:广义逆A_(T  S)~(( 2 ))  定义方程  表示

Defining Equation and Explicit Expression for the Generalized Inverse A_(T,S)~(( 2 ))
CHEN Yong|lin. Defining Equation and Explicit Expression for the Generalized Inverse A_(T,S)~(( 2 ))[J]. Journal of Nanjing Normal University(Natural Science Edition), 2000, 0(2)
Authors:CHEN Yong|lin
Abstract:This paper proves that several simple matrix equations with restriction could be used as the defining equations for the generalized inverse A (2) T,S , based on which derives two kinds of its explicit expressions.Since the commonly used generalized inverses are of A (2) T,S type,the defining equations and the explicit expressions for these inverses could be obtained.
Keywords:generalized inverse A (2) T  S  defining equation  expression
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