Agnes Szanto - Publications

Publications:

C. D'Andrea, T. Krick, A. Szanto: Subresultants, Sylvester sums and the rational interpolation problem, submitted, download preprint
T. Krick, A. Szanto: Sylvester's double sums: an inductive proof of the general case, Journal of Symbolic Computation, Volume 47, Issue 8, Pages 942–953, (2012), download preprint
C. D'Andrea, T. Krick, A. Szanto: Subresultants in Multiple Roots, Linear Algebra Appl. (2012), download preprint
I. Janovitz-Freireich, B. Mourrain, L. Ronyai, A. Szanto: On the Computation of Matrices of Traces and Radicals of Ideals, Journal of Symbolic Computation, 47, pp. 102-122, (2012), download preprint
A. Szanto: Hybrid symbolic-numeric methods for the solution of polynomial systems: tutorial overview, Proceedings of the 2011 International Symposium on Symbolic and Algebraic Computation, 9--10, ACM, New York, 2011
O.Ruatta, M. Sciabica, A. Szanto: Over-constrained Weierstrass iteration and the nearest consistent system, accepted to the Journal of Complexity, download Technical Report
A. Szanto: Multivariate subresultants using Jouanolou matrices, Journal of Pure and Applied Algebra 214 (2010) pp. 1347–1369 , download preprint
O. Golubitsky , M. Kondratieva, A. Ovchinnikov, A. Szanto: A Bound for Orders in Diﬀerential Nullstellensatz, Journal of Algebra 322 (2009) 3852–3877, download preprint
C. D'Andrea, H. Hong, T. Krick, A. Szanto: Sylvester's Double Sums: the general case. Journal of Symbolic Computation, Volume 44, Issue 9, Pages 1164-1175 (2009), download preprint
S. Pope, A. Szanto: Nearest Multivariate System with Given Root Multiplicities, Journal of Symbolic Computation, 44 (2009), pp. 606-625, download preprint
I. Janovitz-Freireich, B. Mourrain, L. Ronyai, A. Szanto: Moment matrices, trace matrices and the radical of ideals, Proceedings of the 2008 International Symposium on Symbolic and Algebraic Computation, 125--132, ACM, New York, (2008) download preprint
A. Szanto, Solving over-determined systems by the subresultant method
(with an appendix by Marc Chardin). Journal of Symbolic Computation, Vol 43/1 pp 46–74, (2008) download preprint
I. Janovitz-Freireich, B. Mourrain, L. Ronyai, A. Szanto: Computing Approximate Radicals using Bezoutians (extended abstract). Presented at the MEGA 2007 Conference as a short communication, (2007) extended abstract

I. Janovitz-Freireich, L. Ronyai, A. Szanto: Approximate radical for clusters: a global approach using Gaussian elimination or SVD., Mathematics in Computer Science, Vol. 1, no. 2, pp 393–425, (2007), download preprint
C. D'Andrea, H. Hong, T. Krick, A. Szanto: A Simple Proof of Sylvester’s Double Sums for Subresultants, Journal of Symbolic Computation, 42 (2007) 290--–297, download preprint

I. Janovitz-Freireich, L. Ronyai, A. Szanto: Approximate Radical of Ideals with Clusters of Roots, Proceedings of the 2006 International Symposium on Symbolic and Algebraic Computation, 146--153, ACM, New York, 2006,

C. D'Andrea, T. Krick, A. Szanto: Multivariate Subresultants in Roots, J. Algebra 302 (2006), no. 1, 16--36, download preprint

E. L. Mansfield and A. Szanto: Elimination theory for differential difference polynomials, Proceedings of the 2003 International Symposium on Symbolic and Algebraic Computation, 191--198 (electronic), ACM, New York, 2003.

A. Szanto: Computation with polynomial systems, Ph.D. dissertation, 1999. Download

A. Szanto: The computational complexity of the Wu-Ritt type unmixed decomposition of radical ideals, Proceedings of PASCO '97, ACM Press, pp. 139-149.

L. Ronyai, A. Szanto, Prime-field-complete functions and factoring polynomials over finite fields, Computers and Artificial Intelligence, Vol.15, 1996, No. 6, pp. 571-577.

G. Ivanyos, A. Szanto, Lattice basis reduction for indefinite forms and an application, Discrete Mathematics 153, (1996), pp. 177-188.

G. Ivanyos, L. Ronyai, A. Szanto, Decomposition of Algebras over F_q(x_1, ..., x_m), Applicable Algebra in Engineering, Communication and Computing 5, (1994), No. 2, pp. 71-90.