GENERALIZED INVERSES OF A BORDERED MATRIX OF OPERATORS

被引:25
|
作者
HALL, FJ
机构
[1] N CAROLINA STATE UNIV, DEPT MATH, RALEIGH, NC 27607 USA
[2] PEMBROKE STATE UNIV, DEPT MATH, PEMBROKE, NC 28372 USA
关键词
D O I
10.1137/0129015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The results of F. J. Hall and C. D. Meyer are extended to (1)-inverses of a matrix of bounded linear operators. The blocks of (1,3)- and (1,4)-inverses of the matrix are completely characterized and are shown to be independent of each other. A form for the Moore-Penrose inverse of the matrix and related are also obtained.
引用
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页码:152 / 163
页数:12
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