Matrices with special sign patterns of signed generalized inverses

被引:7
作者
Shao, JY [1 ]
He, JL [1 ]
Shan, HY [1 ]
机构
[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China
关键词
matrix; sign; generalized inverse;
D O I
10.1137/S0895479802401485
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A real matrix A is said to have a signed generalized inverse (GI) if the sign pattern of its GI A(+) is uniquely determined by the sign pattern of A. We characterize those sign-pattern matrices with a signed GI, and the GI of it is nonnegative, or is positive, or has no zeros.
引用
收藏
页码:990 / 1002
页数:13
相关论文
共 8 条
[1]   GENERALIZED INVERSES OVER INTEGRAL-DOMAINS [J].
BAPAT, RB ;
RAO, KPSB ;
PRASAD, KM .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 140 :181-196
[2]   QUALITATIVE ECONOMICS AND SCOPE OF CORRESPONDENCE PRINCIPLE [J].
BASSETT, L ;
MAYBEE, J ;
QUIRK, J .
ECONOMETRICA, 1968, 36 (3-4) :544-&
[3]  
Brualdi R., 1995, MATRICES SIGN SOLVAB
[4]  
Brualdi R. A., 1991, COMBINATORIAL MATRIX, V39
[5]   BIPARTITE GRAPHS AND INVERSE SIGN PATTERNS OF STRONG SIGN-NONSINGULAR MATRICES [J].
BRUALDI, RA ;
CHAVEY, KL ;
SHADER, BL .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1994, 62 (01) :133-150
[6]   LEAST-SQUARES SIGN-SOLVABILITY [J].
SHADER, BL .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1995, 16 (04) :1056-1073
[7]   The solution of a problem on matrices having signed generalized inverses [J].
Shao, JY ;
Shan, HY .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 345 (1-3) :43-70
[8]   Matrices with signed generalized inverses [J].
Shao, JY ;
Shan, HY .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 322 (1-3) :105-127