Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Half-plane property"'
Autor:
Sert, Büşra
In this manuscript, we provide foundations of properties of homogeneous polynomials such as the half-plane property, determinantal representability, being weakly determinantal, and having a spectrahedral hyperbolicity cone. One of the motivations for
Externí odkaz:
https://tud.qucosa.de/id/qucosa%3A86685
https://tud.qucosa.de/api/qucosa%3A86685/attachment/ATT-0/
https://tud.qucosa.de/api/qucosa%3A86685/attachment/ATT-0/
Akademický článek
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Autor:
Kummer, Mario, Sert, Büşra
We classify all matroids with at most 8 elements that have the half-plane property, and we provide a list of some matroids on 9 elements that have, and that do not have the half-plane property. Furthermore, we prove that several classes of matroids a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01ddf1ca0ca4ac8e83f3988aa60efbca
Akademický článek
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Publikováno v:
Journal of Combinatorial Theory, Series B. 100:485-492
A multivariate polynomial is stable if it is non-vanishing whenever all variables have positive imaginary parts. A matroid has the weak half-plane property (WHPP) if there exists a stable polynomial with support equal to the set of bases of the matro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77fe83a164dc212de6803ad059cef027
https://doi.org/10.1016/j.jctb.2010.04.001
https://doi.org/10.1016/j.jctb.2010.04.001
Autor:
Petter Brändén
Publikováno v:
Advances in Mathematics. 216:302-320
A polynomial f is said to have the half-plane property if there is an open half-plane H, whose boundary contains the origin, such that f is non-zero whenever all the variables are in H. This paper answers several open questions regarding multivariate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c0f9d255aecf74cb45ea6dddd87ac94
https://doi.org/10.1016/j.aim.2007.05.011
https://doi.org/10.1016/j.aim.2007.05.011
Publikováno v:
Advances in Applied Mathematics. 32(1-2):88-187
A polynomial P in n complex variables is said to have the "half-plane property" (or Hurwitz property) if it is nonvanishing whenever all the variables lie in the open right half-plane. Such polynomials arise in combinatorics, reliability theory, elec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3275221f9b509bc9e00d56b0375855ae
Autor:
Alan D. Sokal, Alex Scott
Publikováno v:
Acta Math. 213, no. 2 (2014), 323-392
We prove the complete monotonicity on $(0,\infty)^n$ for suitable inverse powers of the spanning-tree polynomials of graphs and, more generally, of the basis generating polynomials of certain classes of matroids. This generalizes a result of Szego an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::415d36648701c570fcb12dfd859d3a98
http://projecteuclid.org/euclid.acta/1485801868
http://projecteuclid.org/euclid.acta/1485801868
Akademický článek
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Autor:
Petter Brändén
There has recently been ample interest in the question of which sets can be represented by linear matrix inequalities (LMIs). A necessary condition is that the set is rigidly convex, and it has been conjectured that rigid convexity is also sufficient
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afa75e2971f1eb3fc8ad290653bfc34b