Hoon Hong

Affiliations:
  • North Carolina State University, Raleigh, USA


According to our database1, Hoon Hong authored at least 88 papers between 1990 and 2024.

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Bibliography

2024
A Generalization of Habicht's Theorem for Subresultants of Several Univariate Polynomials.
CoRR, 2024

Conditions for eigenvalue configurations of two real symmetric matrices: a signature approach.
CoRR, 2024

Computing greatest common divisor of several parametric univariate polynomials via generalized subresultant polynomials.
CoRR, 2024

Conditions for eigenvalue configurations of two real symmetric matrices: a symmetric function approach.
CoRR, 2024

2023
Improving Angular Speed Uniformity by Piecewise Radical Reparameterization.
Proceedings of the Proceedings 14th International Conference on Automated Deduction in Geometry, 2023

Symbolic-Numeric Parameter Estimation Software Package in Julia.
CoRR, 2023

Parametric "Non-nested" Discriminants for Multiplicities of Univariate Polynomials.
CoRR, 2023

2021
A condition for multiplicity structure of univariate polynomials.
J. Symb. Comput., 2021

Subresultant of several univariate polynomials.
CoRR, 2021

2020
Connectivity in Semi-Algebraic Sets I.
CoRR, 2020

2019
SIAN: a tool for assessing structural identifiability of parametric ODEs.
ACM Commun. Comput. Algebra, 2019

SIAN: software for structural identifiability analysis of ODE models.
Bioinform., 2019

2018
Locating and Counting Equilibria of the Kuramoto Model with Rank-One Coupling.
SIAM J. Appl. Algebra Geom., 2018

Improving root separation bounds.
J. Symb. Comput., 2018

Positive Solutions of Systems of Signed Parametric Polynomial Inequalities.
Proceedings of the Computer Algebra in Scientific Computing - 20th International Workshop, 2018

2017
Resultants over commutative idempotent semirings I: Algebraic aspect.
J. Symb. Comput., 2017

Algorithm for computing μ-bases of univariate polynomials.
J. Symb. Comput., 2017

Open weak CAD and its applications.
J. Symb. Comput., 2017

Algorithm for computing semi-Fourier sequences of expressions involving exponentiations and integrations.
CoRR, 2017

2016
On using Lazard's projection in CAD construction.
J. Symb. Comput., 2016

Quality of positive root bounds.
J. Symb. Comput., 2016

Real quantifier elimination for the synthesis of optimal numerical algorithms (Case study: Square root computation).
J. Symb. Comput., 2016

2015
Special algorithm for stability analysis of multistable biological regulatory systems.
J. Symb. Comput., 2015

An algebraic method for constructing stable and consistent autoregressive filters.
J. Comput. Phys., 2015

Explicit formula for optimal ate pairing over cyclotomic family of elliptic curves.
Finite Fields Their Appl., 2015

2014
The Secant-Newton Map is Optimal Among Contracting $n^{th}$ Degree Maps for $n^{th}$ Root Computation.
CoRR, 2014

Synthesis of optimal numerical algorithms using real quantifier elimination (case study: square root computation).
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

2013
The Secant-Newton Map is Optimal Among Contracting Quadratic Maps for Square Root Computation.
Reliab. Comput., 2013

Reducing Pairing Inversion to Exponentiation Inversion using Non-degenerate Auxiliary Pairing.
IACR Cryptol. ePrint Arch., 2013

Simple and exact formula for minimum loop length in Ate i pairing based on Brezing-Weng curves.
Des. Codes Cryptogr., 2013

Object-Image Correspondence for Algebraic Curves under Projections
CoRR, 2013

A framework for improving uniformity of parameterizations of curves.
Sci. China Inf. Sci., 2013

Improving angular speed uniformity by reparameterization.
Comput. Aided Geom. Des., 2013

Pairing Inversion via Non-degenerate Auxiliary Pairings.
Proceedings of the Pairing-Based Cryptography - Pairing 2013, 2013

2012
Variant quantifier elimination.
J. Symb. Comput., 2012

Real solution formulas of cubic and quartic equations applied to generate dynamic diagrams with inequality constraints.
Proceedings of the ACM Symposium on Applied Computing, 2012

Improving Angular Speed Uniformity by Optimal C 0 Piecewise Reparameterization.
Proceedings of the Computer Algebra in Scientific Computing - 14th International Workshop, 2012

ImUp: A Maple Package for Uniformity-Improved Reparameterization of Plane Curves.
Proceedings of the Computer Mathematics, 2012

Improving Angular Speed Uniformity by C 1 Piecewise Reparameterization.
Proceedings of the Automated Deduction in Geometry - 9th International Workshop, 2012

2011
Solution formulas for cubic equations without or with constraints.
J. Symb. Comput., 2011

Simple and Exact Formula for Minimum Loop Length in Ate<sub>i</sub> Pairing based on Brezing-Weng Curves.
IACR Cryptol. ePrint Arch., 2011

2010
Connectivity in Semi-algebraic Sets.
Proceedings of the 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2010

2009
Real-Time Algorithm for Minimizing THD in Multilevel Inverters With Unequal or Varying Voltage Steps Under Staircase Modulation.
IEEE Trans. Ind. Electron., 2009

Real-Time Calculation of Switching Angles Minimizing THD for Multilevel Inverters With Step Modulation.
IEEE Trans. Ind. Electron., 2009

Sylvester's double sums: The general case.
J. Symb. Comput., 2009

Variant real quantifier elimination: algorithm and application.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2009

2008
Corrigendum to "Are Buchberger's criteria necessary for the chain condition?" [J. Symbolic Comput. 42(2007) 717-732].
J. Symb. Comput., 2008

Connectivity in semialgebraic sets (abstract only).
ACM Commun. Comput. Algebra, 2008

2007
Foreword.
Math. Comput. Sci., 2007

Are Buchberger's criteria necessary for the chain condition?
J. Symb. Comput., 2007

An elementary proof of Sylvester's double sums for subresultants.
J. Symb. Comput., 2007

2006
Bruno Buchberger - A life devoted to symbolic computation.
J. Symb. Comput., 2006

Solving Dynamic Geometric Constraints Involving Inequalities.
Proceedings of the Artificial Intelligence and Symbolic Computation, 2006

2004
Note on Jacobi's method for approximating dominant roots.
J. Symb. Comput., 2004

2002
Sparse Resultant of Composed Polynomials IMixed-. Unmixed Case.
J. Symb. Comput., 2002

2001
Ore Subresultant Coefficients in Solutions.
Appl. Algebra Eng. Commun. Comput., 2001

Ore Principal Subresultant Coefficients in Solutions.
Appl. Algebra Eng. Commun. Comput., 2001

2000
Editorial.
J. Symb. Comput., 2000

1999
East Coast Computer Algebra Day '99 (April 24, 1999): abstracts of invited talks and presented posters.
SIGSAM Bull., 1999

1998
Algorithms for Trigonometric Curves (Simplification, Implicitization, Parameterization).
J. Symb. Comput., 1998

Groebner Basis Under Composition I.
J. Symb. Comput., 1998

Bounds for Absolute Positiveness of Multivariate Polynomials.
J. Symb. Comput., 1998

Testing Positiveness of Polynomials.
J. Autom. Reason., 1998

1997
Testing Stability by Quantifier Elimination.
J. Symb. Comput., 1997

Subresultants Under Composition.
J. Symb. Comput., 1997

Implicitization of Nested Circular Curves.
J. Symb. Comput., 1997

Heuristic Search and Pruning in Polynomial Constraints Satisfaction.
Ann. Math. Artif. Intell., 1997

1996
The Exact Region of Stability for MacCormack Scheme.
Computing, 1996

Groebner Basis Under Composition II.
Proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation, 1996

1995
The Design of the SACLIB/PACLIB Kernels.
J. Symb. Comput., 1995

Bernstein Form is Inclusion Monotone.
Computing, 1995

Implicitization of Curves Parameterized by Generalized Trigonometric Polynomials.
Proceedings of the Applied Algebra, 1995

1994
Safe starting regions by fixed points and tightening.
Computing, 1994

RISC-CLP(CF) Constraint Logic Programming over Complex Functions.
Proceedings of the Logic Programming and Automated Reasoning, 5th International Conference, 1994

Parallel Computation of Modular Multivariate Polynominal Resultants on a Shared Memory Machine.
Proceedings of the Parallel Processing: CONPAR 94, 1994

1993
Quantifier Elimination for Formulas Constrained by Quadratic Equations via Slope Resultants.
Comput. J., 1993

Special Issue Editorial: Computational Quantifier Elimination.
Comput. J., 1993

A New Library for Parallel Algebraic Computation.
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

Quantifier Elimination for Formulas Constrained by Quadratic Equations.
Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, 1993

The Design of the PACLIB Kernel for Parallel Algebraic Computation.
Proceedings of the Parallel Computation, 1993

Parallelization of Quantifier Elimination on a Workstation Network.
Proceedings of the Applied Algebra, 1993

1992
Programming in PACLIB.
SIGSAM Bull., 1992

Simple Solution Formula Construction in Cylindrical Algebraic Decomposition Based Quantifier Elimination.
Proceedings of the 1992 International Symposium on Symbolic and Algebraic Computation, 1992

Non-linear Real Constraints in Constraint Logic Programming.
Proceedings of the Algebraic and Logic Programming, 1992

Heuristic Search Strategies for Cylindrical Algebraic Decomposion.
Proceedings of the Artificial Intelligence and Symbolic Mathematical Computation, 1992

1991
Partial Cylindrical Algebraic Decomposition for Quantifier Elimination.
J. Symb. Comput., 1991

RISC-CLP(Real): Logic Programming with Non-linear Constraints over the Reals.
Proceedings of the Constraint Logic Programming, 1991

1990
An Improvement of the Projection Operator in Cylindrical Algebraic Decomposition.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1990


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