Jonathan David Hauenstein

Works (15)

Updated: April 11th, 2023 10:13
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2020 journal article

Smooth Points on Semi-algebraic Sets

ACM COMMUNICATIONS IN COMPUTER ALGEBRA, 54(3), 105–108.

By: K. Harris n, J. Hauenstein & A. Szanto 

Source: Web Of Science
Added: April 12, 2021

2019 journal article

Computing complex and real tropical curves using monodromy

JOURNAL OF PURE AND APPLIED ALGEBRA, 223(12), 5232–5250.

By: D. Brake*, J. Hauenstein & C. Vinzant

Source: Web Of Science
Added: August 5, 2019

2014 chapter

A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields

In Computer Algebra in Scientific Computing (Vol. 8660, pp. 202–217).

By: J. Hauenstein, V. Pan* & A. Szanto 

Sources: NC State University Libraries, Crossref
Added: August 6, 2018

2014 journal article

A bootstrapping approach for computing multiple solutions of differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 258, 181–190.

By: W. Hao *, J. Hauenstein, B. Hu * & A. Sommese*

author keywords: Domain decomposition; Homotopy continuation; Differential equations; Multiple solutions; Numerical algebraic geometry
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Certification and the potential energy landscape

JOURNAL OF CHEMICAL PHYSICS, 140(22).

By: D. Mehta, J. Hauenstein & D. Wales *

Source: Web Of Science
Added: August 6, 2018

2014 journal article

Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety

APPLIED MATHEMATICS AND COMPUTATION, 231, 619–633.

By: D. Bates*, W. Decker*, J. Hauenstein, C. Peterson*, G. Pfister*, F. Schreyer*, A. Sommese*, C. Wampler*

author keywords: Polynomial system; Computational algebraic geometry; Numerical computation; Homotopy continuation; Symbolic computation; Primary decomposition
Source: Web Of Science
Added: August 6, 2018

2013 journal article

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws

Journal of Computational Physics, 250, 332–346.

By: W. Hao, J. Hauenstein, C. Shu, A. Sommese, Z. Xu & Y. Zhang

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

Cell decomposition of almost smooth real algebraic surfaces

NUMERICAL ALGORITHMS, 63(4), 645–678.

By: G. Besana *, S. Di Rocco *, J. Hauenstein, A. Sommese* & C. Wampler *

author keywords: Algebraic surface; Algebraic curve; Cell decomposition; Numerical algebraic geometry; Homotopy; Polynomial system
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Communication: Certifying the potential energy landscape

JOURNAL OF CHEMICAL PHYSICS, 138(17).

By: D. Mehta*, J. Hauenstein & D. Wales

Source: Web Of Science
Added: August 6, 2018

2013 journal article

Equations for Lower Bounds on Border Rank

EXPERIMENTAL MATHEMATICS, 22(4), 372–383.

By: J. Hauenstein, C. Ikenmeyer* & J. Landsberg*

author keywords: border rank; matrix multiplication
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Isosingular Sets and Deflation

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 13(3), 371–403.

By: J. Hauenstein & C. Wampler*

author keywords: Irreducible algebraic set; Deflation; Deflation sequence; Multiplicity; Isosingular set; Isosingular point; Isosingular local dimension; Numerical algebraic geometry; Polynomial system; Witness point; Witness set; Local dimension
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Membership tests for images of algebraic sets by linear projections

APPLIED MATHEMATICS AND COMPUTATION, 219(12), 6809–6818.

By: J. Hauenstein & A. Sommese*

author keywords: Numerical algebraic geometry; Polynomial system; Witness sets; Projections; Membership test; Numerical irreducible decomposition; Geometric genus; Luroth quartics
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Numerical elimination and moduli space of vacua

JOURNAL OF HIGH ENERGY PHYSICS, (9).

By: J. Hauenstein, Y. He* & D. Mehta*

author keywords: Supersymmetric gauge theory; Differential and Algebraic Geometry; Super-string Vacua; Solitons Monopoles and Instantons
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Numerically Computing Real Points on Algebraic Sets

ACTA APPLICANDAE MATHEMATICAE, 125(1), 105–119.

By: J. Hauenstein

author keywords: Real algebraic geometry; Infinitesimal deformation; Homotopy; Numerical algebraic geometry; Polynomial system
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry

EXPERIMENTAL MATHEMATICS, 22(1), 38–50.

By: D. Bates*, J. Hauenstein, T. McCoy*, C. Peterson* & A. Sommese*

author keywords: 65H10; 68W30; 14Q99; witness set; generic point; homotopy continuation; numerical algebraic geometry; numerical irreducible decomposition; primary decomposition; algebraic set; algebraic variety; LLL
Source: Web Of Science
Added: August 6, 2018