@article{mantzaflaris_mourrain_szanto_2023, title={A certified iterative method for isolated singular roots}, volume={115}, ISSN={["1095-855X"]}, DOI={10.1016/j.jsc.2022.08.006}, journal={JOURNAL OF SYMBOLIC COMPUTATION}, author={Mantzaflaris, Angelos and Mourrain, Bernard and Szanto, Agnes}, year={2023}, pages={223–247} } @article{harris_hauenstein_szanto_2023, title={Smooth points on semi-algebraic sets}, volume={116}, ISSN={["1095-855X"]}, DOI={10.1016/j.jsc.2022.09.003}, journal={JOURNAL OF SYMBOLIC COMPUTATION}, author={Harris, Katherine and Hauenstein, Jonathan D. and Szanto, Agnes}, year={2023}, pages={183–212} } @article{cohen_dahmen_munthe-kaas_sombra_szanto_2021, title={Preface (vol 19, pg 963, 2019)}, volume={10}, ISSN={["1615-3383"]}, DOI={10.1007/s10208-021-09548-2}, journal={FOUNDATIONS OF COMPUTATIONAL MATHEMATICS}, author={Cohen, Albert and Dahmen, Wolfgang and Munthe-Kaas, Hans and Sombra, Martin and Szanto, Agnes}, year={2021}, month={Oct} } @inproceedings{akoglu_szanto_2020, title={Certified Hermite Matrices from Approximate Roots - Univariate Case}, url={http://dx.doi.org/10.1007/978-3-030-43120-4_1}, DOI={10.1007/978-3-030-43120-4_1}, booktitle={Mathematical Aspects of Computer and Information Sciences}, publisher={Springer International Publishing}, author={Akoglu, Tulay Ayyildiz and Szanto, Agnes}, year={2020}, pages={3–9} } @inproceedings{ayyildiz akoglu_szanto_2020, title={Certified Hermite Matrices from Approximate Roots - Univariate Case}, DOI={0.1007/978-3-030-43120-4_1}, booktitle={Mathematical Aspects of Computer and Information Sciences}, publisher={Springer International Publishing}, author={Ayyildiz Akoglu, Tulay and Szanto, Agnes}, year={2020}, pages={3–9} } @inproceedings{mantzaflaris_mourrain_szanto_2020, title={Punctual Hilbert scheme and certified approximate singularities}, url={http://dx.doi.org/10.1145/3373207.3404024}, DOI={10.1145/3373207.3404024}, booktitle={Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation}, publisher={ACM}, author={Mantzaflaris, Angelos and Mourrain, Bernard and Szanto, Agnes}, year={2020}, month={Jul} } @article{szanto_2020, title={Smooth Points on Semi-algebraic Sets}, author={Szanto, Agnes}, year={2020}, month={Feb} } @article{harris_hauenstein_szanto_2020, title={Smooth Points on Semi-algebraic Sets}, volume={54}, ISBN={1932-2240}, DOI={10.1145/3457341.3457347}, number={3}, journal={ACM COMMUNICATIONS IN COMPUTER ALGEBRA}, author={Harris, Katherine and Hauenstein, Jonathan D. and Szanto, Agnes}, year={2020}, month={Sep}, pages={105–108} } @article{bostan_krick_szanto_valdettaro_2020, title={Subresultants of (x - alpha)(m) and (x - beta)(n), Jacobipolynomials and complexity}, volume={101}, ISBN={0747-7171}, url={http://dx.doi.org/10.1016/j.jsc.2019.10.003}, DOI={10.1016/j.jsc.2019.10.003}, journal={JOURNAL OF SYMBOLIC COMPUTATION}, publisher={Elsevier BV}, author={Bostan, A. and Krick, T. and Szanto, A. and Valdettaro, M.}, year={2020}, pages={330–351} } @article{carlos_krick_szanto_valdettaro_2019, title={Closed formula for univariate subresultants in multiple roots}, volume={565}, url={http://dx.doi.org/10.1016/j.laa.2018.12.010}, DOI={10.1016/j.laa.2018.12.010}, journal={Linear Algebra and its Applications}, publisher={Elsevier BV}, author={Carlos, D’Andrea and Krick, Teresa and Szanto, Agnes and Valdettaro, Marcelo}, year={2019}, month={Mar}, pages={123–155} } @article{akoglu_hauenstein_szanto_2018, title={Certifying solutions to overdetermined and singular polynomial systems over Q}, volume={84}, url={http://dx.doi.org/10.1016/j.jsc.2017.03.004}, DOI={10.1016/j.jsc.2017.03.004}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Akoglu, Tulay Ayyildiz and Hauenstein, Jonathan D. and Szanto, Agnes}, year={2018}, month={Jan}, pages={147–171} } @inproceedings{pogudin_szanto_2018, title={Irredundant Triangular Decomposition}, ISBN={0}, url={http://dx.doi.org/10.1145/3208976.3208996}, DOI={10.1145/3208976.3208996}, booktitle={Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation}, publisher={ACM}, author={Pogudin, Gleb and Szanto, Agnes}, year={2018}, month={Jul}, pages={311–318} } @article{hauenstein_mourrain_szanto_2017, title={On deflation and multiplicity structure}, volume={83}, url={http://dx.doi.org/10.1016/j.jsc.2016.11.013}, DOI={10.1016/j.jsc.2016.11.013}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Hauenstein, Jonathan D. and Mourrain, Bernard and Szanto, Agnes}, year={2017}, month={Nov}, pages={228–253} } @article{bostan_d'andrea_krick_szanto_valdettaro_2017, title={Subresultants in multiple roots: An extremal case}, volume={529}, ISSN={0024-3795}, url={http://dx.doi.org/10.1016/J.LAA.2017.04.019}, DOI={10.1016/J.LAA.2017.04.019}, journal={Linear Algebra and its Applications}, publisher={Elsevier BV}, author={Bostan, A. and D'Andrea, C. and Krick, T. and Szanto, A. and Valdettaro, M.}, year={2017}, month={Sep}, pages={185–198} } @article{krick_szanto_valdettaro_2017, title={Symmetric interpolation, Exchange Lemma and Sylvester sums}, volume={45}, url={http://dx.doi.org/10.1080/00927872.2016.1236121}, DOI={10.1080/00927872.2016.1236121}, number={8}, journal={Communications in Algebra}, publisher={Informa UK Limited}, author={Krick, Teresa and Szanto, Agnes and Valdettaro, Marcelo}, year={2017}, month={Aug}, pages={3231–3250} } @article{nagasaka_szanto_winkler_2016, title={Special issue on the conference ISSAC 2014: Symbolic computation and computer algebra Foreword}, volume={75}, DOI={10.1016/j.jsc.2015.10.002}, journal={Journal of Symbolic Computation}, author={Nagasaka, K. and Szanto, Agnes and Winkler, F.}, year={2016}, pages={1–3} } @inproceedings{hauenstein_mourrain_szanto_2015, title={Certifying Isolated Singular Points and their Multiplicity Structure}, url={http://dx.doi.org/10.1145/2755996.2756645}, DOI={10.1145/2755996.2756645}, booktitle={Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '15}, publisher={ACM Press}, author={Hauenstein, Jonathan D. and Mourrain, Bernard and Szanto, Agnes}, year={2015} } @article{ruatta_sciabica_szanto_2015, title={Overdetermined Weierstrass iteration and the nearest consistent system}, volume={562}, url={http://dx.doi.org/10.1016/j.tcs.2014.10.008}, DOI={10.1016/j.tcs.2014.10.008}, journal={Theoretical Computer Science}, publisher={Elsevier BV}, author={Ruatta, Olivier and Sciabica, Mark and Szanto, Agnes}, year={2015}, month={Jan}, pages={346–364} } @article{d'andrea_krick_szanto_2015, title={Subresultants, Sylvester sums and the rational interpolation problem}, volume={68}, DOI={10.1016/j.jsc.2014.08.008}, journal={Journal of Symbolic Computation}, author={D'Andrea, C. and Krick, T. and Szanto, Agnes}, year={2015}, pages={72–83} } @inbook{hauenstein_pan_szanto_2014, title={A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields}, volume={8660}, ISBN={9783319105147 9783319105154}, ISSN={0302-9743 1611-3349}, url={http://dx.doi.org/10.1007/978-3-319-10515-4_15}, DOI={10.1007/978-3-319-10515-4_15}, booktitle={Computer Algebra in Scientific Computing}, publisher={Springer International Publishing}, author={Hauenstein, Jonathan D. and Pan, Victor Y. and Szanto, Agnes}, year={2014}, pages={202–217} } @inproceedings{hauenstein_pan_szanto_2014, place={Cham}, title={A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields}, booktitle={Computer Algebra in Scientific Computing}, publisher={Springer International Publishing}, author={Hauenstein, Jonathan D. and Pan, Victor Y. and Szanto, Agnes}, editor={Gerdt, Vladimir P. and Koepf, Wolfram and Seiler, Werner M. and Vorozhtsov, Evgenii V.Editors}, year={2014}, pages={202–217} } @article{bostan_d'andrea_krick_szanto_valdettaro_2013, title={Subresultants in multiple roots}, volume={438}, DOI={10.1016/j.laa.2012.11.004}, number={5}, journal={Linear Algebra and Its Applications}, author={Bostan, A. and D'Andrea, C. and Krick, T. and Szanto, Agnes and Valdettaro, M.}, year={2013}, pages={1969–1989} } @article{janovitz-freireich_mourrain_rónyai_szántó_2012, title={On the computation of matrices of traces and radicals of ideals}, volume={47}, ISSN={0747-7171}, url={http://dx.doi.org/10.1016/j.jsc.2011.08.020}, DOI={10.1016/j.jsc.2011.08.020}, number={1}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Janovitz-Freireich, Itnuit and Mourrain, Bernard and Rónyai, Lajos and Szántó, Ágnes}, year={2012}, month={Jan}, pages={102–122} } @article{krick_szanto_2012, title={Sylvester's double sums: An inductive proof of the general case}, volume={47}, DOI={10.1016/j.jsc.2012.01.003}, number={8}, journal={Journal of Symbolic Computation}, author={Krick, T. and Szanto, Agnes}, year={2012}, pages={942–953} } @inbook{szanto_2011, place={Berlin Heidelberg}, series={Lecture Notes in Computer Science}, title={Symbolic-Numeric Solution of Ill-Conditioned Polynomial Systems (Survey Talk Overview) (Invited Talk)}, ISBN={9783642235672 9783642235689}, ISSN={0302-9743 1611-3349}, url={http://dx.doi.org/10.1007/978-3-642-23568-9_27}, DOI={10.1007/978-3-642-23568-9_27}, booktitle={Computer Algebra in Scientific Computing (CASC 2011)}, publisher={Springer}, author={Szanto, Agnes}, editor={Gerdt, V.P. and Koepf, W. and Mayr, E.W. and Vorozhtsov, E.V.Editors}, year={2011}, pages={345–347}, collection={Lecture Notes in Computer Science} } @article{szanto_2010, title={Multivariate subresultants using Jouanolou matrices}, volume={214}, DOI={10.1016/j.jpaa.2009.11.002}, number={8}, journal={Journal of Pure and Applied Algebra}, author={Szanto, Agnes}, year={2010}, pages={1347–1369} } @article{golubitsky_kondratieva_ovchinnikov_szanto_2009, title={A bound for orders in differential Nullstellensatz}, volume={322}, DOI={10.1016/j.jalgebra.2009.05.032}, number={11}, journal={Journal of Algebra}, author={Golubitsky, O. and Kondratieva, M. and Ovchinnikov, A. and Szanto, Agnes}, year={2009}, pages={3852–3877} } @article{pope_szanto_2009, title={Nearest multivariate system with given root multiplicities}, volume={44}, DOI={10.1016/j.jsc.2008.03.005}, number={6}, journal={Journal of Symbolic Computation}, author={Pope, S. R. and Szanto, Agnes}, year={2009}, pages={606–625} } @article{d’andrea_hong_krick_szanto_2009, title={Sylvester’s double sums: The general case}, volume={44}, ISSN={0747-7171}, url={http://dx.doi.org/10.1016/j.jsc.2008.02.011}, DOI={10.1016/j.jsc.2008.02.011}, number={9}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={D’Andrea, Carlos and Hong, Hoon and Krick, Teresa and Szanto, Agnes}, year={2009}, month={Sep}, pages={1164–1175} } @article{szanto_2008, title={Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin)}, volume={43}, DOI={10.1016/j.jsc.2007.09.001}, number={1}, journal={Journal of Symbolic Computation}, author={Szanto, Agnes}, year={2008}, pages={46–74} } @article{d'andrea_hong_krick_szanto_2007, title={An elementary proof of Sylvester's double sums for subresultants}, volume={42}, url={http://dx.doi.org/10.1016/j.jsc.2006.09.003}, DOI={10.1016/j.jsc.2006.09.003}, number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={D'andrea, C. and Hong, Hoon and Krick, T. and Szanto, Agnes}, year={2007}, pages={290–297} } @article{janovitz-freireich_rónyai_szántó_2007, title={Approximate Radical for Clusters: A Global Approach Using Gaussian Elimination or SVD}, volume={1}, ISSN={1661-8270 1661-8289}, url={http://dx.doi.org/10.1007/S11786-007-0013-7}, DOI={10.1007/S11786-007-0013-7}, number={2}, journal={Mathematics in Computer Science}, publisher={Springer Science and Business Media LLC}, author={Janovitz-Freireich, Itnuit and Rónyai, Lajos and Szántó, Ágnes}, year={2007}, month={Oct}, pages={393–425} } @article{d'andrea_krick_szanto_2006, title={Multivariate subresultants in roots}, volume={302}, DOI={10.1016/j.jalgebra.2005.08.016}, number={1}, journal={Journal of Algebra}, author={D'andrea, C. and Krick, T. and Szanto, Agnes}, year={2006}, pages={16–36} } @article{d'andrea_krick_szanto_2006, title={Re: “Multivariate subresultants in roots” [J. Algebra 302 (2006) 16–36]}, volume={303}, ISSN={0021-8693}, url={http://dx.doi.org/10.1016/j.jalgebra.2006.07.004}, DOI={10.1016/j.jalgebra.2006.07.004}, number={2}, journal={Journal of Algebra}, publisher={Elsevier BV}, author={D'Andrea, Carlos and Krick, Teresa and Szanto, Agnes}, year={2006}, month={Sep}, pages={449} }