Total positivity: tests and parametrizations
by
Sergey Fomin
,
Andrei Zelevinsky
| Venue: | Math. Intelligencer |
| Citations: | 34 - 8 self |
BibTeX
@ARTICLE{Fomin_totalpositivity:,
author = {Sergey Fomin and Andrei Zelevinsky},
title = {Total positivity: tests and parametrizations},
journal = {Math. Intelligencer},
year = {},
pages = {23--33}
}
Years of Citing Articles
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
A matrix is totally positive (resp. totally nonnegative) if all its minors are positive (resp. nonnegative) real numbers. The first systematic study of these classes of matrices was undertaken in the 1930s by F. R. Gantmacher and M. G. Krein [20, 21, 22], who established their remarkable spectral properties (in particular,
