Works (35)

Updated: July 5th, 2023 15:56

2023 journal article

A certified iterative method for isolated singular roots

JOURNAL OF SYMBOLIC COMPUTATION, 115, 223–247.

By: A. Mantzaflaris*, B. Mourrain* & A. Szanto n

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Polynomial equations; Isolated solution; Multiple root; Certification; Newton iteration; Deflation
Sources: Web Of Science, ORCID
Added: October 3, 2022

2023 journal article

Certified Hermite matrices from approximate roots

JOURNAL OF SYMBOLIC COMPUTATION, 117, 101–118.

By: T. Akoglu* & A. Szanto n

co-author countries: Türkiye 🇹🇷 United States of America 🇺🇸
author keywords: Symbolic-numeric computation; Polynomial systems; Approximate roots; Hermite matrices; Certification
Source: Web Of Science
Added: February 20, 2023

2023 journal article

Smooth points on semi-algebraic sets

JOURNAL OF SYMBOLIC COMPUTATION, 116, 183–212.

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

co-author countries: United States of America 🇺🇸
author keywords: Computational real algebraic geometry; Real smooth points; Real dimension; Polar varieties; Numerical algebraic geometry; Kuramoto model
Source: Web Of Science
Added: October 31, 2022

2021 article

Preface (vol 19, pg 963, 2019)

Cohen, A., Dahmen, W., Munthe-Kaas, H., Sombra, M., & Szanto, A. (2021, October 19). FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, Vol. 10.

By: A. Cohen*, W. Dahmen*, H. Munthe-Kaas*, M. Sombra* & A. Szanto n

co-author countries: Spain 🇪🇸 France 🇫🇷 Norway 🇳🇴 United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: November 1, 2021

2020 conference paper

Certified Hermite Matrices from Approximate Roots - Univariate Case

Mathematical Aspects of Computer and Information Sciences, 3–9.

By: T. Akoglu* & A. Szanto n

co-author countries: Türkiye 🇹🇷 United States of America 🇺🇸
Source: ORCID
Added: November 6, 2020

2020 conference paper

Certified Hermite Matrices from Approximate Roots - Univariate Case

Mathematical Aspects of Computer and Information Sciences, 3–9.

By: T. Ayyildiz Akoglu & A. Szanto

Source: ORCID
Added: November 13, 2020

2020 conference paper

Punctual Hilbert scheme and certified approximate singularities

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation.

By: A. Mantzaflaris*, B. Mourrain* & A. Szanto n

co-author countries: France 🇫🇷 United States of America 🇺🇸
Source: ORCID
Added: November 6, 2020

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 n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: April 12, 2021

2020 article

Smooth Points on Semi-algebraic Sets

(2020, February 11).

Agnes Szanto

Source: ORCID
Added: November 6, 2020

2020 journal article

Subresultants of (x - alpha)(m) and (x - beta)(n), Jacobipolynomials and complexity

JOURNAL OF SYMBOLIC COMPUTATION, 101, 330–351.

By: A. Bostan*, T. Krick*, A. Szanto n & M. Valdettaro*

co-author countries: Argentina 🇦🇷 France 🇫🇷 United States of America 🇺🇸
author keywords: Subresultants; Algorithms; Complexity; Jacobi polynomials
Sources: Web Of Science, ORCID
Added: July 6, 2020

2019 journal article

Closed formula for univariate subresultants in multiple roots

LINEAR ALGEBRA AND ITS APPLICATIONS, 565, 123–155.

By: C. D'Andrea*, T. Krick*, A. Szanto n & M. Valdettaro*

co-author countries: Argentina 🇦🇷 Spain 🇪🇸 United States of America 🇺🇸
author keywords: Subresultants; Exchange lemma; Formulas in roots; Schur functions
Sources: Web Of Science, ORCID
Added: February 25, 2019

2018 journal article

Certifying solutions to overdetermined and singular polynomial systems over Q

JOURNAL OF SYMBOLIC COMPUTATION, 84, 147–171.

By: T. Akoglu n, J. Hauenstein* & A. Szanto n

co-author countries: United States of America 🇺🇸
author keywords: Overdetermined; Polynomial system; Singular solutions; Certification; Rational univariate representation; Isosingular deflation
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 article

Irredundant Triangular Decomposition

ISSAC'18: PROCEEDINGS OF THE 2018 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, pp. 311–318.

By: G. Pogudin* & A. Szanto n

co-author countries: United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: February 25, 2019

2017 article

On deflation and multiplicity structure

JOURNAL OF SYMBOLIC COMPUTATION, Vol. 83, pp. 228–253.

By: J. Hauenstein*, B. Mourrain* & A. Szanto n

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Deflation; Multiplicity structure; Newton's method; Inverse system; Multiplication matrix
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 journal article

Subresultants in multiple roots: An extremal case

Linear Algebra and Its Applications, 529, 185–198.

By: A. Bostan*, C. D'Andrea*, T. Krick*, A. Szanto n & M. Valdettaro*

co-author countries: Argentina 🇦🇷 Spain 🇪🇸 France 🇫🇷 United States of America 🇺🇸
author keywords: Subresultants; Hankel matrices; Ostrowski's determinant; Pfaff-Saalschiltz identity
Sources: Crossref, ORCID
Added: August 28, 2020

2017 journal article

Symmetric interpolation, Exchange Lemma and Sylvester sums

COMMUNICATIONS IN ALGEBRA, 45(8), 3231–3250.

By: T. Krick*, A. Szanto n & M. Valdettaro*

co-author countries: Argentina 🇦🇷 United States of America 🇺🇸
author keywords: Subresultants; Sylvester double sums; symmetric Lagrange interpolation
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 article

Special issue on the conference ISSAC 2014: Symbolic computation and computer algebra Foreword

JOURNAL OF SYMBOLIC COMPUTATION, Vol. 75, pp. 1–3.

By: K. Nagasaka*, A. Szanto n & F. Winkler*

co-author countries: Austria 🇦🇹 Japan 🇯🇵 United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 conference paper

Certifying Isolated Singular Points and their Multiplicity Structure

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '15.

By: J. Hauenstein*, B. Mourrain* & A. Szanto n

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: isolated point; root deflation; dual space; multiplicity structure; inverse system; local algebra; multiplication operator
Source: ORCID
Added: November 6, 2020

2015 journal article

Overdetermined Weierstrass iteration and the nearest consistent system

THEORETICAL COMPUTER SCIENCE, 562, 346–364.

By: O. Ruatta*, M. Sciabica n & A. Szanto n

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Approximate GCD; Overdetermined systems; Nearest consistent system; Weierstrass-Durand-Kerner method
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 journal article

Subresultants, Sylvester sums and the rational interpolation problem

JOURNAL OF SYMBOLIC COMPUTATION, 68, 72–83.

By: C. D'Andrea*, T. Krick* & A. Szanto n

co-author countries: Argentina 🇦🇷 Spain 🇪🇸 United States of America 🇺🇸
author keywords: Rational interpolation; Cauchy interpolation; Osculatory interpolation; Rational Hermite interpolation; Subresultants; Sylvester sums
Sources: Web Of Science, ORCID
Added: August 6, 2018

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 n, V. Pan* & A. Szanto n

co-author countries: United States of America 🇺🇸
Sources: Crossref, NC State University Libraries
Added: August 6, 2018

2014 conference paper

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

In V. P. Gerdt, W. Koepf, W. M. Seiler, & E. V. Vorozhtsov (Eds.), Computer Algebra in Scientific Computing (pp. 202–217). Cham: Springer International Publishing.

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

Ed(s): V. Gerdt, W. Koepf, W. Seiler & E. Vorozhtsov

Event: at Cham

Source: ORCID
Added: November 6, 2020

2013 journal article

Subresultants in multiple roots

LINEAR ALGEBRA AND ITS APPLICATIONS, 438(5), 1969–1989.

By: A. Bostan, C. D'Andrea, T. Krick, A. Szanto* & M. Valdettaro

author keywords: subresultants; Sylvester sums; root multiplicity; Hermite interpolation
Sources: Web Of Science, ORCID
Added: August 6, 2018

2012 journal article

On the computation of matrices of traces and radicals of ideals

Journal of Symbolic Computation, 47(1), 102–122.

By: I. Janovitz-Freireich*, B. Mourrain*, L. Rónyai* & Á. Szántó n

co-author countries: France 🇫🇷 Hungary 🇭🇺 United States of America 🇺🇸
author keywords: Matrix of traces; Radical of an ideal
Sources: Crossref, ORCID
Added: June 15, 2021

2012 journal article

Sylvester's double sums: An inductive proof of the general case

JOURNAL OF SYMBOLIC COMPUTATION, 47(8), 942–953.

By: T. Krick* & A. Szanto n

co-author countries: Argentina 🇦🇷 United States of America 🇺🇸
author keywords: Sylvester's double sums; Subresultants
Sources: Web Of Science, ORCID
Added: August 6, 2018

2011 chapter

Symbolic-Numeric Solution of Ill-Conditioned Polynomial Systems (Survey Talk Overview) (Invited Talk)

In V. P. Gerdt, W. Koepf, E. W. Mayr, & E. V. Vorozhtsov (Eds.), Computer Algebra in Scientific Computing (CASC 2011) (pp. 345–347).

By: A. Szanto n

co-author countries: United States of America 🇺🇸

Ed(s): V. Gerdt, W. Koepf, E. Mayr & E. Vorozhtsov

Sources: Crossref, ORCID
Added: June 15, 2021

2010 journal article

Multivariate subresultants using Jouanolou matrices

JOURNAL OF PURE AND APPLIED ALGEBRA, 214(8), 1347–1369.

By: A. Szanto n

co-author countries: United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

2009 journal article

A bound for orders in differential Nullstellensatz

JOURNAL OF ALGEBRA, 322(11), 3852–3877.

By: O. Golubitsky*, M. Kondratieva*, A. Ovchinnikov* & A. Szanto n

co-author countries: Canada 🇨🇦 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Differential algebra; Characteristic sets; Radical differential ideals; Differential Nullstellensatz
Sources: Web Of Science, ORCID
Added: August 6, 2018

2009 journal article

Nearest multivariate system with given root multiplicities

JOURNAL OF SYMBOLIC COMPUTATION, 44(6), 606–625.

By: S. Pope n & A. Szanto n

co-author countries: United States of America 🇺🇸
author keywords: Approximate polynomial systems; Multiple roots; Multiplicity structure; Weierstrass iteration
Sources: Web Of Science, ORCID
Added: August 6, 2018

2009 journal article

Sylvester’s double sums: The general case

Journal of Symbolic Computation, 44(9), 1164–1175.

By: C. D’Andrea*, H. Hong n, T. Krick* & A. Szanto n

co-author countries: Argentina 🇦🇷 Spain 🇪🇸 United States of America 🇺🇸
author keywords: Subresultants; Double sums; Vandermonde determinants
Sources: Crossref, ORCID, Web Of Science
Added: August 6, 2018

2008 journal article

Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin)

JOURNAL OF SYMBOLIC COMPUTATION, 43(1), 46–74.

By: A. Szanto n

co-author countries: United States of America 🇺🇸
author keywords: multivariate subresultant; over-determined polynomial system; solution of polynomial system
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

An elementary proof of Sylvester's double sums for subresultants

JOURNAL OF SYMBOLIC COMPUTATION, 42(3), 290–297.

By: C. D'Andrea*, H. Hong n, T. Krick* & A. Szanto n

co-author countries: Argentina 🇦🇷 Spain 🇪🇸 United States of America 🇺🇸
author keywords: subresultants; double-sum formula; Vandermonde determinant
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

Approximate Radical for Clusters: A Global Approach Using Gaussian Elimination or SVD

Mathematics in Computer Science, 1(2), 393–425.

By: I. Janovitz-Freireich n, L. Rónyai* & Á. Szántó n

co-author countries: Hungary 🇭🇺 United States of America 🇺🇸
author keywords: Radical ideal; clusters; matrix of traces; symbolic-numeric computation
Sources: Crossref, ORCID
Added: June 15, 2021

2006 journal article

Multivariate subresultants in roots

JOURNAL OF ALGEBRA, 302(1), 16–36.

By: C. D'Andrea*, T. Krick* & A. Szanto n

co-author countries: Argentina 🇦🇷 United States of America 🇺🇸
author keywords: subresultants; Poisson product formula; Vandermonde determinants
Sources: Web Of Science, ORCID
Added: August 6, 2018

2006 journal article

Re: “Multivariate subresultants in roots” [J. Algebra 302 (2006) 16–36]

Journal of Algebra, 303(2), 449.

By: C. D'Andrea*, T. Krick* & A. Szanto n

co-author countries: Argentina 🇦🇷 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 28, 2020

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