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

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1975年 / 29卷 / 01期

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

页码：152 / 163

页数：12

共 50 条

[1] Eight expressions for generalized inverses of a bordered matrix
Tian, Yongge
LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (02): : 203 - 220
[2] ON THE CHARACTERIZATION OF GENERALIZED INVERSES BY BORDERED MATRICES
NOMAKUCHI, K
LINEAR ALGEBRA AND ITS APPLICATIONS, 1980, 33 (OCT) : 1 - 8
[3] EXPRESSIONS FOR GENERALIZED INVERSES OF A BORDERED MATRIX WITH APPLICATION TO THEORY OF CONSTRAINED LINEAR MODELS
PRINGLE, RM
RAYNER, AA
SIAM REVIEW, 1970, 12 (01) : 107 - &
[4] INDEPENDENCE OF BLOCKS OF GENERALIZED INVERSES OF BORDERED MATRICES
HALL, FJ
LINEAR ALGEBRA AND ITS APPLICATIONS, 1976, 14 (01) : 53 - 61
[5] On g-inverses of a bordered matrix:: revisited
Wei, MS
Guo, WB
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 347 (1-3) : 189 - 204
[6] ON G-INVERSES AND THE NONSINGULARITY OF A BORDERED MATRIX (ACOB)
CHEN, YG
ZHOU, BJ
LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 133 : 133 - 151
[7] Generalized inverses of tridiagonal operators
Sivakumar, K. C.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) : 1300 - 1303
[8] Splittings of operators and generalized inverses
Djordjevic, DS
Stanimirovic, PS
PUBLICATIONES MATHEMATICAE DEBRECEN, 2001, 59 (1-2): : 147 - 159
[9] GENERALIZED INVERSES OF UNBOUNDED OPERATORS
LABROUSSE, JP
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (01) : 125 - 129
[10] On least squares g-inverses and minimum norm g-inverses of a bordered matrix
Guo, Wenbin
Wei, Musheng
Wang, Mingjie
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 416 (2-3) : 627 - 642

← 1 2 3 4 5 →