Parallel degree computation for binomial systems
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Publication:507161
DOI10.1016/j.jsc.2016.07.018zbMath1357.65063OpenAlexW2506241836MaRDI QIDQ507161
Publication date: 3 February 2017
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsc.2016.07.018
homotopy continuationsupersymmetric gauge theoriesalgebraic geometryGPU computingbinomial systemsBKK root-count
Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical algorithms for specific classes of architectures (65Y10) Solving polynomial systems; resultants (13P15)
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Uses Software
Cites Work
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- Finding all flux vacua in an explicit example
- Exploring the potential energy landscape over a large parameter-space
- Decompositions of commutative monoid congruences and binomial ideals.
- Mixed cell computation in HOM4ps
- Mixed volume computation in parallel
- STRINGVACUA. A Mathematica package for studying vacuum configurations in string phenomenology
- Numerical elimination and moduli space of vacua
- A simple introduction to Gröbner basis methods in string phenomenology
- Numerical polynomial homotopy continuation method and string vacua
- Dynamic enumeration of all mixed cells
- Triangulations. Structures for algorithms and applications
- HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
- Mastering the master space
- Computing the volume is difficult
- The number of roots of a system of equations
- Mixed volume computation for semi-mixed systems
- Mixed-volume computation by dynamic lifting applied to polynomial system solving
- Binomial ideals
- Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods
- Introduction to Toric Varieties. (AM-131)
- Equations Defining Toric Varieties
- A Polyhedral Method for Solving Sparse Polynomial Systems
- The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
- Decompositions of binomial ideals
- Mixed volume computation via linear programming
- Finding mixed cells in the mixed volume computation
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