GIMÉNEZ, NARDO; MATERA, GUILLERMO; PÉREZ, MARIANA; PRIVITELLI, MELINA

On the computation of rational solutions of underdetermined systems over a finite field

JOURNAL OF COMPLEXITY; Año: 2023 vol. 75

GIMÉNEZ, NARDO; MATERA, GUILLERMO; PÉREZ, MARIANA; PRIVITELLI, MELINA

Average-case complexity of the Euclidean algorithm with a fixed polynomial over a finite field

COMBINATORICS, PROBABILITY & COMPUTING (PRINT); Lugar: Cambridge; Año: 2021 p. 1 - 18

VON ZUR GATHEN, JOACHIM; MATERA, GUILLERMO

Shifted varieties and discrete neighborhoods around varieties

JOURNAL OF SYMBOLIC COMPUTATION; Año: 2021 p. 1 - 19

MATERA, GUILLERMO; PÉREZ, MARIANA; PRIVITELLI, MELINA

Factorization patterns on nonlinear families of univariate polynomials over a finite field

JOURNAL OF ALGEBRAIC COMBINATORICS; Lugar: Berlin; Año: 2020 vol. 51 p. 103 - 153

NARDO GIMÉNEZ; MATERA, GUILLERMO

On the bit complexity of polynomial system solving

JOURNAL OF COMPLEXITY; Lugar: Amsterdam; Año: 2019 vol. 51 p. 20 - 67

JOACHIM VON ZUR GATHEN; MATERA, GUILLERMO

Explicit estimates for polynomial systems defining irreducible smooth complete intersections

ACTA ARITHMETICA; Lugar: VARSOVIA; Año: 2019 vol. 188 p. 209 - 240

DRATMAN, EZEQUIEL; MATERA, GUILLERMO

Improved bounds for the inverses of diagonally dominant tridiagonal matrices

LINEAR ALGEBRA AND ITS APPLICATIONS; Año: 2018 vol. 551 p. 57 - 82

JOACHIM VON ZUR GATHEN; MATERA, GUILLERMO

Density of real and complex decomposable univariate polynomials

QUARTERLY JOURNAL OF MATHEMATICS; Lugar: Oxford; Año: 2017 vol. 68 p. 1227 - 1246

MATERA, GUILLERMO; PÉREZ, MARIANA; PRIVITELLI, MELINA

On the computation of rational points of a hypersurface over a finite field

JOURNAL OF COMPLEXITY; Año: 2017 vol. 41 p. 1 - 34

EDA CESARATTO; GUILLERMO MATERA; MARIANA PÉREZ

The distribution of factorization patterns on linear families of polynomials over a finite field

COMBINATORICA; Lugar: Berlin; Año: 2017 vol. 37 p. 805 - 836

EZEQUIEL DRATMAN; GUILLERMO MATERA

Newton method and a mesh-independence principle for certain semilinear boundary-value problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; Lugar: Amsterdam; Año: 2016 vol. 292 p. 188 - 212

BERND BANK; JOOS HEINTZ; GUILLERMO MATERA; JOSÉ LUIS MONTAÑA; LUIS MIGUEL PARDO; ANDRÉS ROJAS PAREDES

Quiz Games as a model for Information Hiding

JOURNAL OF COMPLEXITY; Lugar: Amsterdam; Año: 2016 vol. 34 p. 1 - 29

GUILLERMO MATERA; MARIANA PÉREZ; MELINA PRIVITELLI

Explicit estimates for the number of rational points of singular complete intersections over a finite field

JOURNAL OF NUMBER THEORY; Lugar: Amsterdam; Año: 2016 vol. 158 p. 54 - 72

BERND BANK; MARC GIUSTI,; JOOS HEINTZ; GRÉGOIRE LECERF; GUILLERMO MATERA; PABLO SOLERNÓ

Degeneracy loci and polynomial equation solving

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS; Lugar: Berlin; Año: 2015 vol. 15 p. 159 - 184

ANTONIO CAFURE; GUILLERMO MATERA; MELINA PRIVITELLI

Polar varieties, Bertini's theorems and number of points of singular complete intersections over afinite field

FINITE FIELDS AND THEIR APPLICATIONS; Lugar: Amsterdam; Año: 2015 vol. 31 p. 42 - 83

GUILLERMO MATERA; MARIANA PÉREZ; MELINA PRIVITELLI

On the value set of small families of polynomials over a finite field, II

ACTA ARITHMETICA; Lugar: VARSOVIA; Año: 2014 vol. 165 p. 141 - 179

EDA CESARATTO; GUILLERMO MATERA; MARIANA PÉREZ; MELINA PRIVITELLI

On the value set of small families of polynomials over a finite field, I

JOURNAL OF COMBINATORIAL THEORY SERIES A; Lugar: Amsterdam; Año: 2014 vol. 124 p. 203 - 227

EDA CESARATTO; JOACHIM VON ZUR GATHEN; GUILLERMO MATERA

The number of reducible space curves over a finite field

JOURNAL OF NUMBER THEORY; Lugar: Amsterdam; Año: 2013 vol. 133 p. 1409 - 1434

ANTONIO CAFURE; GUILLERMO MATERA; MELINA PRIVITELLI

Singularities of symmetric hypersurfaces and Reed-Solomon codes

ADVANCES IN MATHEMATICS OF COMMUNICATIONS; Lugar: springfield; Año: 2012 vol. 6 p. 69 - 94

NARDO GIMÉNEZ; JOOS HEINTZ; GUILLERMO MATERA; PABLO SOLERNÓ

Lower complexity bounds for interpolation algorithms

JOURNAL OF COMPLEXITY; Lugar: Amsterdam; Año: 2011 vol. 27 p. 151 - 187

GABRIELA JERONIMO; GUILLERMO MATERA; PABLO SOLERNÓ; ARIEL WAISSBEIN

Deformation techniques for sparse systems

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS; Lugar: Berlin, Heidelberg, New York; Año: 2009 vol. 9 p. 1 - 50

EZEQUIEL DRATMAN; GUILLERMO MATERA

On the solution of the polynomial systems arising in the discretization of certain ODEs

COMPUTING; Lugar: Viena; Año: 2009 vol. 85 p. 301 - 337

EZEQUIEL DRATMAN; GUILLERMO MATERA; ARIEL WAISSBEIN

Robust algorithms for generalized Pham systems

COMPUTATIONAL COMPLEXITY; Lugar: Berlin, Heidelberg, New York; Año: 2009 vol. 18 p. 105 - 154

ANTONIO CAFURE; GUILLERMO MATERA

An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field

ACTA ARITHMETICA; Lugar: Varsovia; Año: 2007 vol. 130 p. 19 - 35

ANTONIO CAFURE; GUILLERMO MATERA

Improved explicit estimates on the number of solutions of equations over a finite field

FINITE FIELDS AND THEIR APPLICATIONS; Lugar: Amsterdam; Año: 2006 vol. 12 p. 155 - 185

ANTONIO CAFURE; GUILLERMO MATERA

Fast computation of a rational point of a variety over a finite field

MATHEMATICS OF COMPUTATION; Lugar: Providence, RI, USA; Año: 2006 vol. 75 p. 2049 - 2085

MARIANO DE LEO,; EZEQUIEL DRATMAN,; GUILLERMO MATERA

Numeric vs. symbolic homotopy algorithms in polynomial system solving: A case study

JOURNAL OF COMPLEXITY; Lugar: Amsterdam; Año: 2005 vol. 21 p. 502 - 531

AGUSTÍN BOMPADRE,; GUILLERMO MATERA; ROSA WACHENCHAUZER,; ARIEL WAISSBEIN,

Polynomial equation solving by lifting procedures for ramified fibers

THEORETICAL COMPUTER SCIENCE; Lugar: Amsterdam; Año: 2004 vol. 315 p. 335 - 369

LEOPOLDO KULESZ,; GUILLERMO MATERA; ERIC SCHOST,

Uniform bounds on the number of rational points of a family of curves of genus 2

JOURNAL OF NUMBER THEORY; Lugar: Amsterdam; Año: 2004 vol. 108 p. 241 - 267

GUILLERMO MATERA; ALEXANDRE SEDOGLAVIC,

Fast computation of discrete invariants associated to a differential rational mapping

JOURNAL OF SYMBOLIC COMPUTATION; Lugar: Amsterdam; Año: 2003 vol. 36 p. 473 - 499

DAVID CASTRO,; MARC GIUSTI,; JOOS HEINTZ,; GUILLERMO MATERA; MIGUEL PARDO, LUIS

The hardness of polynomial equation solving

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS; Lugar: Berlin, Heidelberg, New York; Año: 2003 vol. 3 p. 347 - 420

NICOLAS BRUNO,; JOOS HEINTZ,; GUILLERMO MATERA; ROSA WACHENCHAUZER,

Functional programmings concepts and straight-line programs in computer algebra

MATHEMATICS AND COMPUTERS IN SIMULATION; Lugar: Amsterdam; Año: 2002 vol. 60 p. 423 - 473

JOOS HEINTZ; GUILLERMO MATERA; ARIEL WAISSBEIN

On the time-space complexity of geometric elimination procedures

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING; Lugar: Berlin, Heidelberg, New York; Año: 2001 vol. 11 p. 239 - 296

MIKEL ALDAZ; GUILLERMO MATERA; JOSÉ LUIS MONTAÑA; LUIS MIGUEL PARDO

A new method to obtain lower bounds for polynomial evaluation

THEORETICAL COMPUTER SCIENCE; Lugar: Amsterdam; Año: 2001 vol. 259 p. 577 - 596

MIKEL ALDAZ; JOOS HEINTZ; GUILLERMO MATERA; JOSÉ LUIS MONTAÑA; LUIS MIGUEL PARDO

Time-space trade-offs in algebraic complexity theory

JOURNAL OF COMPLEXITY; Lugar: Amsterdam; Año: 2000 vol. 16 p. 2 - 49

GUILLERMO MATERA

Probabilistic algorithms for geometric elimination

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING; Lugar: Berlin, Heidelberg, New York; Año: 1999 vol. 9 p. 463 - 520

MIKEL ALDAZ; JOOS HEINTZ; GUILLERMO MATERA; JOSÉ LUIS MONTAÑA; LUIS MIGUEL PARDO

Time-space tradeoffs for polynomial evaluation

COMPTES RENDUS DE L4ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE; Lugar: Amsterdam; Año: 1998 vol. 327 p. 905 - 912

JOOS HEINTZ; GUILLERMO MATERA; LUIS MIGUEL PARDO; ROSA WACHENCHAUZER

The intrinsic complexity of parametric elimination methods

SADIO Electronic Journal of Informatic and Operation Research; Lugar: Buenos Aires; Año: 1998 vol. 1 p. 37 - 51