On generalizing Descartes' rule of signs to hypersurfaces
From MaRDI portal
Publication:2172219
DOI10.1016/j.aim.2022.108582zbMath1499.14095arXiv2107.10002OpenAlexW3187068134MaRDI QIDQ2172219
Publication date: 15 September 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.10002
Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Semialgebraic sets and related spaces (14P10) Mathematical programming (90C99)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Refined bounds on the number of connected components of sign conditions on a variety
- A generalization of Descartes rule of signs and fundamental theorem of algebra
- Polyhedral and algebraic methods in computational geometry
- Optimal Descartes' rule of signs for systems supported on circuits
- Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones.
- A tutorial on geometric programming
- On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets
- On multivariate Descartes' rule -- a counterexample
- Fuzzy geometric programming techniques and applications
- Multi-degree bounds on the Betti numbers of real varieties and semi-algebraic sets and applications
- Finding all solutions of nonlinearly constrained systems of equations
- Laurent determinants and arrangements of hyperplane amoebas
- Multivariate Descartes' rule
- Geometric programming with signomials
- Descartes' Rule of Signs: Another Construction
- A Survey of Methods for Deciding Whether a Reaction Network is Multistationary
- Points entiers dans les polyèdres convexes
- Convex Polytopes
- Algorithms in Real Algebraic Geometry: A Survey
- Descartes’ Rule of Signs for Polynomial Systems Supported on Circuits
- A Simple Proof of Descartes's Rule of Signs
- On the number of cells defined by a family of polynomials on a variety
- Understanding bistability in complex enzyme-driven reaction networks
- Logarithmic limit sets of real semi-algebraic sets
- Some Geometrical Aspects of Control Points for Toric Patches
- Approximation of definable sets by compact families, and upper bounds on homotopy and homology
- A GENERALISATION OF DESCARTES’ RULE OF SIGNS
- State Constraints in Convex Control Problems of Bolza
- An Inductive Proof of Descartes' Rule of Signs
- Algorithms in real algebraic geometry
- Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry
This page was built for publication: On generalizing Descartes' rule of signs to hypersurfaces