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Globally Optimal Solution to Inverse Kinematics of 7DOF Serial Manipulator

IEEE robotics and automation letters, 2022-07, Vol.7 (3), p.6012-6019

2022

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A Nearly Optimal Algorithm for Deciding Connectivity Queries in Smooth and Bounded Real Algebraic Sets

Journal of the ACM, 2017-02, Vol.63 (6), p.1-37

2017

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Real root finding for low rank linear matrices

Applicable algebra in engineering, communication and computing, 2020-03, Vol.31 (2), p.101-133

2020

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Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients

SIAM journal on optimization, 2023-01, Vol.33 (1), p.63-88

2023

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Exact Algorithms for Linear Matrix Inequalities

SIAM journal on optimization, 2016-01, Vol.26 (4), p.2512-2539

2016

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Determination of All Stable and Unstable Equilibria for Image-Point-Based Visual Servoing

IEEE transactions on robotics, 2024-01, Vol.40, p.3406-3424

2024

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Complete Singularity Analysis for the Perspective-Four-Point Problem

International journal of computer vision, 2021-04, Vol.129 (4), p.1217-1237

2021

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Singularity Analysis for the Perspective-Four and Five-Line Problems

International journal of computer vision, 2022-04, Vol.130 (4), p.909-932

2022

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SPECTRA - a Maple library for solving linear matrix inequalities in exact arithmetic

Optimization methods & software, 2019-01, Vol.34 (1), p.62-78

2019

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Intrinsic complexity estimates in polynomial optimization

Journal of Complexity, 2014-08, Vol.30 (4), p.430-443

2014

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On exact Reznick, Hilbert-Artin and Putinar's representations

Journal of symbolic computation, 2021-11, Vol.107, p.221-250

2021

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On the complexity of the generalized MinRank problem

Journal of symbolic computation, 2013-08, Vol.55, p.30-58

2013

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A signature-based algorithm for computing the nondegenerate locus of a polynomial system

Journal of symbolic computation, 2023-11, Vol.119, p.1-21

2023

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Computing roadmaps in unbounded smooth real algebraic sets I: Connectivity results

Journal of symbolic computation, 2024-01, Vol.120, p.102234, Article 102234

2024

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Positive dimensional parametric polynomial systems, connectivity queries and applications in robotics

Journal of symbolic computation, 2023-03, Vol.115, p.320-345

2023

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Gröbner bases and critical values: The asymptotic combinatorics of determinantal systems

Journal of algebra, 2022-07, Vol.602, p.154-180

2022

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Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials

Journal of symbolic computation, 2019-07, Vol.93, p.200-220

2019

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Solving parametric systems of polynomial equations over the reals through Hermite matrices

Journal of symbolic computation, 2022-09, Vol.112, p.25-61

2022

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On the degree of varieties of sum of squares

Journal of pure and applied algebra, 2024-07, Vol.228 (7), p.107638, Article 107638

2024

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Bit complexity for multi-homogeneous polynomial system solving—Application to polynomial minimization

Journal of symbolic computation, 2018-07, Vol.87, p.176-206

2018

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Exact algorithms for semidefinite programs with degenerate feasible set

Journal of symbolic computation, 2021-05, Vol.104, p.942-959

2021

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Guessing Gröbner bases of structured ideals of relations of sequences

Journal of symbolic computation, 2022-07, Vol.111, p.1-26

2022

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Computing real radicals and S-radicals of polynomial systems

Journal of symbolic computation, 2021-01, Vol.102, p.259-278

2021

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Probabilistic Algorithm for Polynomial Optimization over a Real Algebraic Set

SIAM journal on optimization, 2014-01, Vol.24 (3), p.1313-1343

2014

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Homotopy techniques for solving sparse column support determinantal polynomial systems

Journal of Complexity, 2021-10, Vol.66, p.101557, Article 101557

2021

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Globally Optimal Solution to Inverse Kinematics of 7DOF Serial Manipulator

A Nearly Optimal Algorithm for Deciding Connectivity Queries in Smooth and Bounded Real Algebraic Sets

Real root finding for low rank linear matrices

Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients

Exact Algorithms for Linear Matrix Inequalities

Determination of All Stable and Unstable Equilibria for Image-Point-Based Visual Servoing

Complete Singularity Analysis for the Perspective-Four-Point Problem

Singularity Analysis for the Perspective-Four and Five-Line Problems

SPECTRA - a Maple library for solving linear matrix inequalities in exact arithmetic

Intrinsic complexity estimates in polynomial optimization

On exact Reznick, Hilbert-Artin and Putinar's representations

On the complexity of the generalized MinRank problem

A signature-based algorithm for computing the nondegenerate locus of a polynomial system

Computing roadmaps in unbounded smooth real algebraic sets I: Connectivity results

Positive dimensional parametric polynomial systems, connectivity queries and applications in robotics

Gröbner bases and critical values: The asymptotic combinatorics of determinantal systems

Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials

Solving parametric systems of polynomial equations over the reals through Hermite matrices

On the degree of varieties of sum of squares

Bit complexity for multi-homogeneous polynomial system solving—Application to polynomial minimization

Exact algorithms for semidefinite programs with degenerate feasible set

Guessing Gröbner bases of structured ideals of relations of sequences

Computing real radicals and S-radicals of polynomial systems

Probabilistic Algorithm for Polynomial Optimization over a Real Algebraic Set

Homotopy techniques for solving sparse column support determinantal polynomial systems

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