Agnes Szanto

Mantzaflaris, A., Mourrain, B., & Szanto, A. (2023). A certified iterative method for isolated singular roots. JOURNAL OF SYMBOLIC COMPUTATION, 115, 223–247. https://doi.org/10.1016/j.jsc.2022.08.006

Akoglu, T. A., & Szanto, A. (2023). Certified Hermite matrices from approximate roots. JOURNAL OF SYMBOLIC COMPUTATION, 117, 101–118. https://doi.org/10.1016/j.jsc.2022.12.001

Harris, K., Hauenstein, J. D., & Szanto, A. (2023). Smooth points on semi-algebraic sets. JOURNAL OF SYMBOLIC COMPUTATION, 116, 183–212. https://doi.org/10.1016/j.jsc.2022.09.003

Cohen, A., Dahmen, W., Munthe-Kaas, H., Sombra, M., & Szanto, A. (2021, October 19). Preface (vol 19, pg 963, 2019). FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, Vol. 10. https://doi.org/10.1007/s10208-021-09548-2

Akoglu, T. A., & Szanto, A. (2020). Certified Hermite Matrices from Approximate Roots - Univariate Case. Mathematical Aspects of Computer and Information Sciences, 3–9. https://doi.org/10.1007/978-3-030-43120-4_1

Ayyildiz Akoglu, T., & Szanto, A. (2020). Certified Hermite Matrices from Approximate Roots - Univariate Case. Mathematical Aspects of Computer and Information Sciences, 3–9. https://doi.org/0.1007/978-3-030-43120-4_1

Mantzaflaris, A., Mourrain, B., & Szanto, A. (2020). Punctual Hilbert scheme and certified approximate singularities. Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation. https://doi.org/10.1145/3373207.3404024

Harris, K., Hauenstein, J. D., & Szanto, A. (2020). Smooth Points on Semi-algebraic Sets. ACM COMMUNICATIONS IN COMPUTER ALGEBRA, 54(3), 105–108. https://doi.org/10.1145/3457341.3457347

Smooth Points on Semi-algebraic Sets. (2020, February 11).

Bostan, A., Krick, T., Szanto, A., & Valdettaro, M. (2020). Subresultants of (x - alpha)(m) and (x - beta)(n), Jacobipolynomials and complexity. JOURNAL OF SYMBOLIC COMPUTATION, 101, 330–351. https://doi.org/10.1016/j.jsc.2019.10.003

D'Andrea, C., Krick, T., Szanto, A., & Valdettaro, M. (2019). Closed formula for univariate subresultants in multiple roots. LINEAR ALGEBRA AND ITS APPLICATIONS, 565, 123–155. https://doi.org/10.1016/j.laa.2018.12.010

Akoglu, T. A., Hauenstein, J. D., & Szanto, A. (2018). Certifying solutions to overdetermined and singular polynomial systems over Q. JOURNAL OF SYMBOLIC COMPUTATION, 84, 147–171. https://doi.org/10.1016/j.jsc.2017.03.004

Pogudin, G., & Szanto, A. (2018). Irredundant Triangular Decomposition. ISSAC'18: PROCEEDINGS OF THE 2018 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, pp. 311–318. https://doi.org/10.1145/3208976.3208996

Hauenstein, J. D., Mourrain, B., & Szanto, A. (2017). On deflation and multiplicity structure. JOURNAL OF SYMBOLIC COMPUTATION, Vol. 83, pp. 228–253. https://doi.org/10.1016/j.jsc.2016.11.013

Bostan, A., D'Andrea, C., Krick, T., Szanto, A., & Valdettaro, M. (2017). Subresultants in multiple roots: An extremal case. Linear Algebra and Its Applications, 529, 185–198. https://doi.org/10.1016/J.LAA.2017.04.019

Krick, T., Szanto, A., & Valdettaro, M. (2017). Symmetric interpolation, Exchange Lemma and Sylvester sums. COMMUNICATIONS IN ALGEBRA, 45(8), 3231–3250. https://doi.org/10.1080/00927872.2016.1236121

Nagasaka, K., Szanto, A., & Winkler, F. (2016). Special issue on the conference ISSAC 2014: Symbolic computation and computer algebra Foreword. JOURNAL OF SYMBOLIC COMPUTATION, Vol. 75, pp. 1–3. https://doi.org/10.1016/j.jsc.2015.10.002

Hauenstein, J. D., Mourrain, B., & Szanto, A. (2015). Certifying Isolated Singular Points and their Multiplicity Structure. Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '15. https://doi.org/10.1145/2755996.2756645

Ruatta, O., Sciabica, M., & Szanto, A. (2015). Overdetermined Weierstrass iteration and the nearest consistent system. THEORETICAL COMPUTER SCIENCE, 562, 346–364. https://doi.org/10.1016/j.tcs.2014.10.008

D'Andrea, C., Krick, T., & Szanto, A. (2015). Subresultants, Sylvester sums and the rational interpolation problem. JOURNAL OF SYMBOLIC COMPUTATION, 68, 72–83. https://doi.org/10.1016/j.jsc.2014.08.008

Hauenstein, J. D., Pan, V. Y., & Szanto, A. (2014). A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields. In Computer Algebra in Scientific Computing (Vol. 8660, pp. 202–217). https://doi.org/10.1007/978-3-319-10515-4_15

Hauenstein, J. D., Pan, V. Y., & Szanto, A. (2014). 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.

Bostan, A., D'Andrea, C., Krick, T., Szanto, A., & Valdettaro, M. (2013). Subresultants in multiple roots. LINEAR ALGEBRA AND ITS APPLICATIONS, 438(5), 1969–1989. https://doi.org/10.1016/j.laa.2012.11.004

Janovitz-Freireich, I., Mourrain, B., Rónyai, L., & Szántó, Á. (2012). On the computation of matrices of traces and radicals of ideals. Journal of Symbolic Computation, 47(1), 102–122. https://doi.org/10.1016/j.jsc.2011.08.020

Krick, T., & Szanto, A. (2012). Sylvester's double sums: An inductive proof of the general case. JOURNAL OF SYMBOLIC COMPUTATION, 47(8), 942–953. https://doi.org/10.1016/j.jsc.2012.01.003

Szanto, A. (2011). 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). https://doi.org/10.1007/978-3-642-23568-9_27

Szanto, A. (2010). Multivariate subresultants using Jouanolou matrices. JOURNAL OF PURE AND APPLIED ALGEBRA, 214(8), 1347–1369. https://doi.org/10.1016/j.jpaa.2009.11.002

Golubitsky, O., Kondratieva, M., Ovchinnikov, A., & Szanto, A. (2009). A bound for orders in differential Nullstellensatz. JOURNAL OF ALGEBRA, 322(11), 3852–3877. https://doi.org/10.1016/j.jalgebra.2009.05.032

Pope, S. R., & Szanto, A. (2009). Nearest multivariate system with given root multiplicities. JOURNAL OF SYMBOLIC COMPUTATION, 44(6), 606–625. https://doi.org/10.1016/j.jsc.2008.03.005

D’Andrea, C., Hong, H., Krick, T., & Szanto, A. (2009). Sylvester’s double sums: The general case. Journal of Symbolic Computation, 44(9), 1164–1175. https://doi.org/10.1016/j.jsc.2008.02.011

Szanto, A. (2008). Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin). JOURNAL OF SYMBOLIC COMPUTATION, 43(1), 46–74. https://doi.org/10.1016/j.jsc.2007.09.001

D'Andrea, C., Hong, H., Krick, T., & Szanto, A. (2007). An elementary proof of Sylvester's double sums for subresultants. JOURNAL OF SYMBOLIC COMPUTATION, 42(3), 290–297. https://doi.org/10.1016/j.jsc.2006.09.003

Janovitz-Freireich, I., Rónyai, L., & Szántó, Á. (2007). Approximate Radical for Clusters: A Global Approach Using Gaussian Elimination or SVD. Mathematics in Computer Science, 1(2), 393–425. https://doi.org/10.1007/S11786-007-0013-7

D'Andrea, C., Krick, T., & Szanto, A. (2006). Multivariate subresultants in roots. JOURNAL OF ALGEBRA, 302(1), 16–36. https://doi.org/10.1016/j.jalgebra.2005.08.016

D'Andrea, C., Krick, T., & Szanto, A. (2006). Re: “Multivariate subresultants in roots” [J. Algebra 302 (2006) 16–36]. Journal of Algebra, 303(2), 449. https://doi.org/10.1016/j.jalgebra.2006.07.004