M-matrices satisfy Newton's inequalities
| dc.contributor.author | Holtz, Olga | |
| dc.date.accessioned | 2021-12-17T10:05:43Z | |
| dc.date.available | 2021-12-17T10:05:43Z | |
| dc.date.issued | 2003-04-10 | |
| dc.description.abstract | Newton's inequalities $c_n^2\geq c_{n-1} c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix. They are derived by establishing first an auxiliary set of inequalities also valid for both of these classes. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15508 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14281 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | M-matrices | en |
| dc.subject.other | Newton's inequalities | en |
| dc.subject.other | immanantal inequalities | en |
| dc.subject.other | generalized matrix functions | en |
| dc.subject.other | quadratic forms | en |
| dc.subject.other | binomial identities | en |
| dc.title | M-matrices satisfy Newton's inequalities | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2003, 09 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 15A42 Inequalities involving eigenvalues and eigenvectors | en |
| tub.subject.msc2000 | 15A15 Determinants, permanents, other special matrix functions | en |
| tub.subject.msc2000 | 15A48 Positive matrices and their generalizations; cones of matrices | en |
| tub.subject.msc2000 | 15A63 Quadratic and bilinear forms, inner products | en |
| tub.subject.msc2000 | 05E05 Symmetric functions | en |
| tub.subject.msc2000 | 05A10 Factorials, binomial coefficients, combinatorial functions | en |
| tub.subject.msc2000 | 05A17 Partitions of integers | en |
| tub.subject.msc2000 | 05A19 Combinatorial identities | en |
| tub.subject.msc2000 | 26D05 Inequalities for trigonometric functions and polynomials | en |