THE NEGATIVE SIGNATURE OF SOME HERMITIAN MATRICES

被引:6
作者
CONSTANTINESCU, T
GHEONDEA, A
机构
[1] Institute of Mathematics Bd. Pǎcii 220
关键词
D O I
10.1016/0024-3795(93)90336-M
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is proved that the range of the negative signature of the hermitian completions of the partial matrix [GRAPHICS] is an interval, and explicit formulae for the bounds of this interval are obtained. As an application the solvability of the problem of lifting with prescribed negative signature of defect is settled.
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页码:17 / 42
页数:26
相关论文
共 11 条
[1]  
ADMAYAN VM, 1971, MAT SBORNIK, V86, P34
[2]  
CONSTANTINESCU T, 1989, J OPERAT THEOR, V22, P345
[3]  
CONSTANTINESCU T, IN PRESS J FUNCT ANA
[4]   BORDERED MATRICES [J].
DANCIS, J .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 128 :117-132
[5]   EXTENSIONS OF BAND MATRICES WITH BAND INVERSES [J].
DYM, H ;
GOHBERG, I .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 36 (MAR) :1-24
[6]  
ELLIS RL, 1988, LINEAR MULTILINEAR A, V24, P15
[7]  
GHEONDEA A, UNPUB ONE STEP COMPL
[8]  
JOHNSON C. R., 1984, LINEAR MULTILINEAR A, V16, P179
[9]   SOME EXTENSION PROBLEMS CLOSELY CONNECTED WITH THEORY OF HERMITEAN OPERATORS IN SPACE IIX .1. SOME CLASSES OF FUNCTIONS AND THEIR REPRESENTATIONS [J].
KREIN, MG ;
LANGER, H .
MATHEMATISCHE NACHRICHTEN, 1977, 77 :187-236
[10]   ON THE MATRIX EQUATION AX+X-STARA-STAR=C [J].
LANCASTER, P ;
ROZSA, P .
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1983, 4 (04) :432-436