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Numerically Solving Polynomial Systems with Bertini

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Communication: Newton homotopies for sampling stationary points of potential energy landscapes
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Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis
inferred← citeshttps://doi.org/10.1063/1.4921163openalex-snapshot
Exploring the potential energy landscape of the Thomson problem via Newton homotopies
inferred← citeshttps://doi.org/10.1073/pnas.1809796115openalex-snapshot
Single degree of freedom everting ring linkages with nonorientable topology
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From approximate to exact probability models in dynamic portfolio decision theory
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Singular vectors of orthogonally decomposable tensors
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Experiments on the Zeros of Harmonic Polynomials Using Certified Counting
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Computing Tropical Curves via Homotopy Continuation
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Equations for the Fifth Secant Variety of Segre Products of Projective Spaces
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Probabilistic Saturations and Alt’s Problem
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Deflation Conjecture and Local Dimensions of Brent Equations
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G-expected utility maximization with ambiguous equicorrelation
inferred← citeshttps://doi.org/10.1088/1742-5468/2014/03/p03024openalex-snapshot
Singular solutions, repeated roots and completeness for higher-spin chains
inferred← citeshttps://doi.org/10.1088/1742-5468/2015/09/p09012openalex-snapshot
Statistics of stationary points of random finite polynomial potentials
inferred← citeshttps://doi.org/10.1088/1751-8113/48/49/494003openalex-snapshot
Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity
inferred← citeshttps://doi.org/10.1090/cbms/134openalex-snapshot
Applications of Polynomial Systems
inferred← citeshttps://doi.org/10.1090/jams/938openalex-snapshot
Rigid continuation paths I. Quasilinear average complexity for solving polynomial systems
inferred← citeshttps://doi.org/10.1090/mcom/3430openalex-snapshot
Computing periods of hypersurfaces
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A Newton’s iteration converges quadratically to nonisolated solutions too
inferred← citeshttps://doi.org/10.1090/mcom/3689openalex-snapshot
Numerical homotopies from Khovanskii bases
inferred← citeshttps://doi.org/10.1090/mcom/3744openalex-snapshot
Toric eigenvalue methods for solving sparse polynomial systems
inferred← citeshttps://doi.org/10.1090/mcom/3757openalex-snapshot
Sampling and homology via bottlenecks
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Certification of Approximate Roots of Exact Polynomial Systems
inferred← citeshttps://doi.org/10.1090/noti1739openalex-snapshot
Numerical algebraic geometry and optimization
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Southeastern Sectional Sampler
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Numerical nonlinear algebra
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Snapshot of algebraic vision
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Complexity of sparse polynomial solving 2: renormalization
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Solving polynomial systems via homotopy continuation and monodromy
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Euclidean Distance Degree of Projective Varieties
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The linear framework: using graph theory to reveal the algebra and thermodynamics of biomolecular systems
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Numerical algebraic geometry for model selection and its application to the life sciences
inferred← citeshttps://doi.org/10.1098/rspa.2015.0474openalex-snapshot
Vibrations of thin plates with small clamped patches
inferred← citeshttps://doi.org/10.1103/physrevb.91.020410openalex-snapshot
Infinite geometric frustration in a cubic dipole cluster
inferred← citeshttps://doi.org/10.1103/physrevd.105.024012openalex-snapshot
Analytic continuation of spinfoam models
inferred← citeshttps://doi.org/10.1103/physrevd.90.054504openalex-snapshot
Gauge-fixing on the lattice via orbifolding
inferred← citeshttps://doi.org/10.1103/physreve.103.053306openalex-snapshot
Solving nonlinear integral equations for laser pulse retrieval with Newton's method
inferred← citeshttps://doi.org/10.1103/physreve.106.014212openalex-snapshot
Forced symmetry breaking as a mechanism for rogue bursts in a dissipative nonlinear dynamical lattice
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