Hyperbolic polynomials and majorization
| dc.contributor.author | Gowda, M. Seetharama | |
| dc.date.accessioned | 2022-10-07T15:29:37Z | |
| dc.date.available | 2022-10-07T15:29:37Z | |
| dc.date.issued | 2021-10-14 | |
| dc.description.abstract | On a finite dimensional real vector space V, we consider a real homogeneous polynomial p of degree n that is hyperbolic relative to a vector e ∈ V. This means that p(e) 6= 0 and for any (fixed) x ∈ V, the roots of the one-variable polynomial t 7→ p(te − x) are all real. Let λ(x) denote the vector in Rn whose entries are these real roots written in the decreasing order. Relative to the map λ : V → Rn, we introduce and study automorphisms, majorization, and doubly stochastic transformations | en_US |
| dc.description.uri | http://www.math.umbc.edu/~gowda/tech-reports/PrGOW21-01.pdf | en_US |
| dc.format.extent | 16 pages | en_US |
| dc.genre | technical reports | en_US |
| dc.genre | preprints | en_US |
| dc.identifier | doi:10.13016/m23lfu-vjdw | |
| dc.identifier.uri | http://hdl.handle.net/11603/26116 | |
| dc.language.iso | en_US | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | en_US |
| dc.title | Hyperbolic polynomials and majorization | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0001-5171-0924 | en_US |