Further than Descartes’ rule of signs
The sign pattern defined by the real polynomial $Q:=\Sigma _{j=0}^da_jx^j$, $a_j\ne 0$, is the string $\sigma (Q):=(\mathrm{sgn}(a_d),\ldots ,\mathrm{sgn}(a_0))$. The quantities $\mathrm{pos}$ and $\mathrm{neg}$ of positive and negative roots of $Q$ satisfy Descartes’ rule of signs. A couple $(\sigm...
Saved in:
| Main Authors: | Gati, Yousra, Kostov, Vladimir Petrov, Tarchi, Mohamed Chaouki |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2024-10-01
|
| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.610/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
On a problem inspired by Descartes' rule of signs
by: Vladimir Kostov
Published: (2024-08-01) -
Real univariate polynomials with given signs of coefficients and simple real roots
by: V. P. Kostov
Published: (2024-03-01) -
Descartes on Natural Signs and the Case of Sensory Perception
Published: (2024-05-01) -
Sign-Entropy Regularization for Personalized Federated Learning
by: Koffka Khan
Published: (2025-06-01) -
Deriving the Composite Simpson Rule by Using Bernstein Polynomials for Solving Volterra Integral Equations
by: Baghdad Science Journal
Published: (2014-09-01)