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A NOTE ON A PARTIAL ORDERING IN THE SET OF HERMITIAN MATRICES.

Authors :
Gross, Jürgen
Source :
SIAM Journal on Matrix Analysis & Applications. 1997, Vol. 18 Issue 4, p887-892. 6p.
Publication Year :
1997

Abstract

In this note we introduce a partial ordering in the set of complex Hermitian matrices which coincides with the well-known Löwner ordering when the considered matrices have the same number of negative eigenvalues. Some properties of the new ordering are investigated, and known results for shorted matrices are generalized. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*HERMITIAN forms
*MATHEMATICS
*COMPLEX matrices
*EIGENFUNCTIONS

Details

Language :
English
ISSN :
08954798
Volume :
18
Issue :
4
Database :
Academic Search Index
Journal :
SIAM Journal on Matrix Analysis & Applications
Publication Type :
Academic Journal
Accession number :
13213329
Full Text :
https://doi.org/10.1137/S0895479896305684
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