DETERMINANTAL INEQUALITIES FOR POSITIVE-DEFINITE MATRICES

Authors
JOHNSON CR BARRETT WW
Citation
Cr. Johnson et Ww. Barrett, DETERMINANTAL INEQUALITIES FOR POSITIVE-DEFINITE MATRICES, Discrete mathematics, 119(1-3), 1993, pp. 97-106
Citations number
4
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Discrete mathematics → ACNP
ISSN journal
0012365X
Volume
119
Issue
1-3
Year of publication
1993
Pages
97 - 106
Database
ISI
SICI code
0012-365X(1993)119:1-3<97:DIFPM>2.0.ZU;2-Q
Abstract
We consider the problem of identifying all determinantal inequalities valid on all positive definite matrices. This is fundamentally a combi natorial problem about relations between collections of index sets. We describe some general structure of this problem and give sufficient a nd necessary conditions that coincide for collections of no more than 3 index sets each.