Artículos de Investigación

LAST UPDATE AUGUST 2023
  1. A note about rational surfaces as unions of affine planes.
    with J. Caravantes, D. Sevilla, C. Villarino
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (accepted)
    DOI 10.1007/s13398-023-01401-1
  2. Symbolic Treatment of Trigonometric Parametrizations: the general unirational case and applications.
    con A. Lastra, J. Sendra
    Communications in Mathematics and Statistics (2023).
    https://doi.org/10.1007/s40304-023-00334-w
  3. The Algebro-Geometric Method: solving algebraic differential equations by parametrizations
    con Sebastian Falkensteiner, Johann J. Mitteramskogler, Franz Winkler
    Bulletin of the American Mathematical Society Volume 60, Number 1, January 2023, Pages 85–122
    https://doi.org/10.1090/bull/1773
  4. Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables.
    Con J. Cano, S. Falkensteiner, D. Robertz. Journal of Symbolic Computation Volume 114, (2023), Pages 1-17.
    https://doi.org/10.1016/j.jsc.2022.04.01.
  5. On the summability of a class of formal power series.
    con A. Lastra, J. Sanz.
    Mathematical Inequalites & Applications Vol. 25 Number 4. pp-1101-1121 (2022).
    DOI:dx.doi.org/10.7153/mia-2022-25-68
  6. On the base point locus of surface parametrizations: formulas and consequences
    con D. Cox, S. Pérez-Díaz.
    Communications in Mathematics and Statistics (2022)
    https://doi.org/10.1007/s40304-021-00257-4
  7. Inner Bohemian inverses
    con E.Y.S. Chan, R.M. Corless, L. González-Vega, J.Sendra
    Applied Mathematics and Computation Volume 421, 126945 (2022)
  8. Existence and convergence of Puiseux series solutions for autonomous first order differential equations.
    con J. Cano, S. Falkensteiner
    Journal of Symbolic Computation 108 (2022) 137–151.
    doi.org/10.1016/j.jsc.2020.06.010
  9. Representations and geometrical properties of generalized inverses over fields
    con Predrag S. Stanimirovic, Miroslav Ciric, Alberto Lastra, and Juana Sendra
    Linear and Multilinear Algebra 70:22, 7318-7338 (2022),
    DOI: 10.1080/03081087.2021.1985420
  10. A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations
    con J. Caravantes, S. Pérez-Díaz.
    Springer Nature Switzerland AG 2021 R. M. Corless et al. (Eds.): MC 2020, CIS 1414, pp. 137-151, 2021. ISBN 978-3-030-81697-1
    doi.org/10.1007/978-3-030-81698-8_10
  11. Puiseux Series and Algebraic Solutions of First Order Autonomous AODEs – A MAPLE Package
    con F. Boulier, J. Cano, S. Falkensteiner.
    Springer Nature Switzerland AG 2021 R. M. Corless et al. (Eds.): MC 2020, CIS 1414, pp. 89-103, 2021. ISBN 978-3-030-81697-1
    doi.org/10.1007/978-3-030-81698-8_7
  12. Computing tensor generalized inverses via specialization and rationalization.
    con Predrag S. Stanimirovic, Ratikanta Behera, Jajati Keshari Sahoo,Dijana Mosic, Juana Sendra, Alberto Lastra.
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (2021) 115:116 pp.1-16
    doi.org/10.1007/s13398-021-01057-9
  13. Representations and symbolic computation of generalized inverses over fields
    con Predrag S. Stanimirovic, Miroslav Ciric, Alberto Lastra, Juana Sendra.
    Applied Mathematics and Computation 406 (2021) 126287
    doi.org/10.1016/j.amc.2021.126287
  14. Algebraic, rational and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one
    con J. Cano, S. Falkensteiner
    Math.Comput.Sci. (2021) 15:189–198
    doi.org/10.1007/s11786-020-00478-w.
  15. Transforming ODEs and PDEs from radical coefficients to rational coefficients
    con J. Caravantes, D. Sevilla, C. Villarino
    Mediterranean Journal of Mathematics (2021) 18:96
    doi.org/10.1007/s00009-021-01703-x
  16. Covering Rational Surfaces with Rational Parametrization Images
    con J. Caravantes, D. Sevilla, C. Villarino
    Mathematics 2021, 9, 338.
    doi.org/10.3390/math9040338
  17. Computing Birational Polynomial Surface Parametrizations without Base Points
    con S. Pérez-Díaz.
    Mathematics 2020, 8, 2224. doi.org/10.3390/math8122224
  18. Moore-Penrose approach in the Hough transform framework
    Con M.C. Beltrametti, J. Sendra, L.M. Torrente
    Applied Mathematics and Computation 375 (2020) 125083
    doi.org/10.1016/j.amc.2020.125083
  19. Upper Hessenberg and Toeplitz Bohemians
    Con E.Y.S. Chan, R.M. Corless, L. Gonzalez-Vega, J. Sendra, E. Thornton
    Linear Algebra and its Applications 601 (2020) 72-100.
    doi.org/10.1016/j.laa.2020.03.037
  20. A Maple package for the symbolic computation of Drazin inverse matrices with multivariate transcendental functions entries.
    Con J. Caravantes, J. Sendra
    In: Gerhard J., Kotsireas I. (eds) Maple in Mathematics Education and Research. Communications in Computer and Information Science, Springer Nature Switzerland AG 2020 vol 1125 pp. 1-15, 2020.
    doi.org/10.1007/978-3-030-41258-6_12
  21. Solving First Order Autonomous Algebraic Ordinary Differential Equations by Places.
    Con S. Falkensteiner
    Mathematics in Computer Science (2020) 14:327-337.
    doi.org/10.1007/s11786-019-00431-6
  22. An Application of Computer Algebra and Dynamical Systems
    Con P. S. Stanimirovich, Y. Wei, D. Kolundzija, and J. Sendra.
    Lecture Notes in Computer Science 11545, CAI2019, pp. 225-236.
    ISBN 978-3-030-21362-6.
    doi.org/10.1007/978-3-030-21363-3_19
  23. Algebraic Linearizations of Matrix Polynomials
    Con Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega, Juana Sendra
    Linear Algebra and its Applications 563 (2019) 373-399
    doi.org/10.1016/j.laa.2018.10.028
  24. Distortion-Free Instantaneous Multifrequency Saturator for THD Current Reduction
    Con J. Moriano, M. Rizo, E. Bueno y R. Mateos
    IEEE Transactions on Industrial Electronics 66 (7) 5310-5320 (2019).
    Digital Object Identifier 10.1109/TIE.2018.2868317
  25. The algebro-geometric solution method for algebraic differential equations: An introduction by examples
    Con F. Winkler
    Galina Filipuk, Alberto Lastra, Slawomir Michalik, Yoshitsugu Takei, Henryk Zoladek (Eds.) COMPLEX DIFFERENTIAL AND DIFFERENCE EQUATIONS PROCEEDINGS OF THE SCHOOL AND CONFERENCE HELD AT BEDLEWO, POLAND, 2018.
    De Gruyter Proceedings in Mathematics pp. 129-146. ISBN: 978-3-11-060952-3
    doi.org/10.1515/9783110611427-002
  26. Number of common roots and resultant of two tropical univariate polynomials.
    Con H. Hong
    Journal of Algebra 511 (2018) 420-439.
    doi.org/10.1016/j.jalgebra.2018.06.027
  27. The importance of being zero.
    Con T.Recio, C.Villarino.
    Proc. ISSAC2018 pp. 327-333. ACM Press.
    doi.org/10.1145/3208976.3208981
  28. El reto de desarrollar algoritmos de parametrización, para curvas y superficies algebraicas, útiles en las aplicaciones.
    La Gaceta de la RSME, Vol. 21 (2018), Núm. 1, Págs. 125-146.
  29. $r$-norm bounds and metric properties for zero loci of real analytic functions
    Con L. Torente, M. Beltrametti.
    Journal of Computational and Applied Mathematics 336 (2018) 375-393
    doi.org/10.1016/j.cam.2018.01.001
  30. Cissoid Constructions of Augmented Rational Ruled Surfaces.
    Con M. Peternell, J. Sendra.
    Computer Aided Geometric Design 60 (2018) 1-9.
    doi.org/10.1016/j.cagd.2017.12.001.
  31. On the existence of birational surjective parametrizations of affine surfaces.
    With J. Caravantes, D. Sevilla y C. Villarino.
    Journal of Algebra 501 (2018) 206-214
  32. Fitness Landscape Analysis in the Optimization of Coeffcients of Curve Parametrizations.
    With Stephan Winkler.
    Computer Aided Systems Theory--EUROCAST 2017, Springer Lecture Notes in Computer Science, 2018, pp.464--472. ISBN 978-3-319-74717-0.
    doi.org/10.1007/978-3-319-74718-7
  33. Rational General Solutions of Systems of First-Order Algebraic Partial Differential Equations.
    Con Georg Grasegger, Alberto Lastra, and Franz Winkler.
    Journal of Computational and Applied Mathematic//s 331 (2018) 88-103.
    doi.org/10.1016/j.cam.2017.10.010
  34. Computation of Moore-Penrose Generalized Inverses of Matrices with Meromorphic Function Entries
    Con J. Sendra
    Applied Mathematics and Computation 313C (2017) pp. 355-366
    10.1016/j.amc.2017.06.007
  35. Perturbation of polynomials and applications to the Hough transform
    Con L. Torrente and M. Beltrametti
    Journal of Algebra 486 (2017) 328-359.
    10.1016/j.jalgebra.2017.04.011
  36. Algebraic and algorithmic aspects of radical parametrizations.
    Con D. Sevilla and C. Villarino
    Computer Aided Geometric Design 55 1-14. (2017)
    DOI 10.1016/j.cagd.2017.01.002
  37. Covering Rational Ruled Surfaces
    Con D. Sevilla and C. Villarino
    Mathematics of Computation Volume 86, Number 308, November 2017, Pages 2861-2875
    dx.doi.org/10.1090/mcom/3193
  38. Resultants over Commutative Idempotent Semirings I: (Algebraic aspect)
    Con Hoon Hong, Yonggu Kim, Georgy Scholten.
    Journal of Symbolic Computation 79 (2017) 285-308.
  39. Algebro-geometric analysis of bisectors of two algebraic plane curves
    Con M. Fioravanti.
    Computer Aided Geometric Design 47 (2016) 189-203.
  40. A Heuristic and Evolutionary Algorithm to Optimize the Coefficients of Curve Parametrizations.
    Con Stephan Winkler.
    Journal of Computational and Applied Mathematics 305 (2016) 18--35.
    doi:10.1016/j.cam.2016.03.020
    See also corrigendum doi:10.1016/j.cam.2016.04.028
  41. Symbolic computation of Drazin inverses by specializations.
    Con J. Sendra.
    Journal of Computational and Applied Mathematics 301 (2016) 201-212
    doi:10.1016/j.cam.2016.01.059
  42. A solution method for autonomous First-order algebraic partial differential equations.
    Con Grasegger G., Lastra A., Winkler F.
    Journal of Computational and Applied Mathematics 300 (2016) 119--133.
    doi:10.1016/j.cam.2015.12.030.
  43. On Tubular vs. Swung surfaces
    Con Recio T., Tabera L.F., Villarino C.
    Journal of Symbolic Computation 72 (2016) 55--64.
    DOI 10.1016/j.jsc.2014.12.003
  44. Missing sets in rational parametrizations of surfaces of revolution.
    Con Sevilla D., Villarino C.
    Computer-Aided Design 66 (2015) 55--61.
    DOI 10.1016/j.cad.2015.04.006
  45. Birational Transformations Preserving Rational Solutions of Algebraic Ordinary Differential Equations.
    Con Ngô L.X.C., Winkler F.
    Journal of Computational and Applied Mathematics (2015), pp. 114-127.
    DOI 10.1016/j.cam.2015.03.007.
  46. Gröbner Basis Computation of Drazin Inverses with Multivariate Rational Function Entries.
    Con J. Sendra
    Applied Mathematics and Computation 259 (2015) pp. 450-459.
    DOI 10.1016/j.amc.2015.02.070
  47. Some results on the surjectivity of surface parametrizations.
    Con Sevilla D., Villarino C.
    Springer LNCS 8942, pp. 192-203 (2015), J.Schicho, M.Weimann, J.Gutierrez (eds),
    DOI:10.1007/978--3-319-15081-9_11
  48. Computing the Singularities of Rational Surfaces.
    Con Pérez-Díaz S., Villarino C.
    Math. Comp. 84 (2015), 1991-2021
    DOI dx.doi.org/10.1090/S0025-5718-2014-02907-4
  49. Optimization of Coefficients of Lists of Polynomials by Evolutionary Algorithms
    Con Winkler Stephan
    Annales Mathematicae et Informaticae 44 (2015) pp. 177-185.
  50. Offsets, Conchoids and Pedal Surfaces
    Con Martin Peternell, Lukas Gotthart, Juana Sendra
    Journal of Geometry Volume 106, Issue 2 (2015), Page 321-339.
    DOI 10.1007/s00022-014-0251-1
  51. Ultraquadrics associated to affine and projective automorphisms
    Con Recio T., Tabera L.F., Villarino C.
    Applicable Algebra in Engineering, Communication and Computinng (2014) 25:431-445.
    DOI 10.1007/s00200-014-0236-1.
  52. On symbolic solutions of algebraic partial differential equations.
    Con Grasegger G., Lastra A., and Winkler F.
    Proc. CASC 2014 Springer Verlag LNCS 8660 pp. 111-120.
    DOI 10.1007/978--3-319-10515-4_9
  53. Rational General Solutions of Systems of Autonomous Ordinary Differential Equations of Algebro-Geometric Dimension One.
    Con A. Lastra, L. X. C. Ngô and F. Winkler
    Publ. Math. Debrecen 2015 / 86 / 1-2 49-69.
    DOI: 10.5486/PMD.2015.6032
  54. Covering of surfaces parametrized without projective base points.
    Con Sevilla D., Villarino C.
    Proc. ISSAC2014 ACM Press, pages 375-380, 2014, ISBN:978-1-4503-2501-1,
    DOI: 10.1145/2608628.2608635.
  55. Bounding and Estimating the Hausdorff distance between real space algebraic curves.
    Con Rueda S., Sendra J.
    Computer Aided Geometric Design. vol 31 (2014) 182-198;
    DOI 10.1016/j.cagd.2014.02.005
  56. Reparametrizing Swung Surfaces over the Reals.
    Con Andradas C., Recio T., Sendra J.R., Tabera L.F., Villarino C.
    Applicable Algebra in Engineering, Communication and Computing (2014) 25:39-65.
    DOI: 10.1007/s00200-014-0215-6
  57. Rational Hausdorff Divisors: a New approach to the Approximate Parametrization of Curves.
    Con Rueda S., Sendra J.
    Journal of Computational and Applied Mathematics 263 (2014), pp. 445-465
    DOI: 10.1016/j.cam.2013.12.052
  58. Factoring analytic multivariate polynomials and non-standard Cauchy-Riemann conditions.
    Con Recio T., Tabera L.F., Villarino C.
    Mathematics and Computers in Simulation 104 (2014) 43-57.
    DOI: 10.1016/j.matcom.2013.03.013
  59. Behavior of the Fiber and the Base Points of Parametrizations under Projections
    Con Pérez-Díaz S.
    Mathematics in Computer Science Volume 7, Issue 2 (2013), Page 167-184
  60. First Steps Towards Radical Parametrization of Algebraic Surfaces.
    Con Sevilla D.
    Computer Aided Geometric Design Volume 30, Issue 4, pp. 374-388 (2013).
  61. An Algorithm to Parametrize Approximately Space Curves
    Con S. Rueda, J. Sendra
    Journal of Symbolic Computation vol. 56 pp. 80-106 (2013)
  62. Classification of algebraic ODEs with respect to rational solvability
    Con L.X.C. Ngô, F. Winkler
    Computational Algebraic and Analytic Geometry vol. 572 pp. 193-210, AMS series Contemporary Mathematics (2012)
  63. Total Degree Formula for the Generic Offset to a Parametric Surface
    Con F. San Segundo
    International Journal of Algebra and Computation Vol. 22, No. 2 (2012)
  64. Radical Parametrizations of Algebraic Curves by Adjoint Curves
    Con D. Sevilla
    Journal of Symbolic Computation 46, 1030-1038 (2011)
  65. Algorithmic Detection of Hypercircles
    Con T.Recio, L.F. Tabera C. Villarino
    Mathematics and Computers in Simulation 82 (2011) 54--67
  66. Proper Real Reparametrization of Rational Ruled Surfaces
    Con C. Andradas, T. Recio, L.F. Tabera, C. Villarino
    Computer Aided Geometric Design 28 (2011) 102–113.
  67. Accurate Depth Dependent Lens Distortion Models: An Application to Planar View Scenarios.
    Con L. Alvarez, L. Gómez.
    Journal of Mathematical Imaging and Vision vol 39: 75–85 (2011).
  68. Offsetting Revolution Surfaces
    Con F. San Segundo
    ADG 2008, LNCS 6301 (T. Sturm and C. Zengler Eds.), pp. 179–188. Springer-Verlag Berlin Heidelberg (2011)
    ISBN: 978-3-642-21045-7
  69. A First Approach Towards Normal Parametrizations of Algebraic Surfaces
    Con S. Pérez-Díaz, C. Villarino
    International Journal of Algebra and Computation Vol. 20, No. 8 (2010) 977--990
  70. Manual de Hipercírculos
    Con T. Recio, L.F. Tabera, C. Villarino
    Contribuciones Científicas en Honor a Mirian Andrés Gómez.
    Laureano Lambán, Ana Romero y Julio Rubio, Editors. Servicio de Publicaciones de la Universidad de la Rioja, Longroño, Spain (2010) pp. 417-437.
    ISBN ed. impresa: 978--84-96487-50-5;
    ISBN ed. electrónica: 978--84-693-3033-3
  71. Rational Parametrization of Conchoids to Algebraic Curves
    Con J. Sendra
    Applicable Algebra in Engineering, Communication and Computing, vol. 21 pp. 285-308 (2010)
  72. Generalizing circles over algebraic extensions.
    Con T. Recio, L.F. Tabera, C. Villarino.
    Mathematics of Computation vol. 79, num. 270, pp. 1067-1089 (2010).
  73. Linear complete differential resultants and the implicitization of linear DPPEs.
    Con S. Rueda
    Journal of Symbolic Computation
    vol. 45, 324-341 (2010).
  74. Approximate Parametrization of Plane Algebraic Curves by Linear Systems of Curves
    Con S. Pérez, S. Rueda, J. Sendra
    Computed Aided Geometric Design
    vol 27, 212–231 (2010).
  75. An Algebraic Approach to Lens Distortion by Line Rectification.
    Con L. Alvarez, L. Gómez.
    Journal of Mathematical Imaging and Vision vol 35:36-50 (2009).
  76. Algebraic Lens Distortion Model Estimation,
    Con L. Alvarez, L. Gómez.
    Image Processing On Line, 1 (2010), pp. 1-10. doi.org/10.5201/ipol.2010.ags-alde (Software version)
  77. Partial Degree Formulae for Plane Offset Curves.
    Con F. San Segundo.
    Journal of Symbolic Computation vol. 44, pp. 635-654 (2009).
  78. On the simplication of the coefficients of a parametrization.
    Con C. Andradas, T. Recio, L.F. Tabera.
    Journal of Symbolic Computation vol. 44, pp. 192-210 (2009).
  79. An Algebraic Analysis of Conchoids to Algebraic Curves.
    Con J. Sendra.
    Applicable Algebra in Engineering, Communication and Computing vol. 19, pp. 413-428 (2008)
  80. A Univariate Resultant Based Implicitization Algorithm for Surfaces.
    Con S. Pérez-Díaz.
    Journal of Symbolic Computation vol. 43, pp. 118-139 (2008).
  81. El reto de parametrizar curves y superficies de forma aproximada.
    Con S. Pérez-Díaz, S. Rueda, J. Sendra
    Gaceta de la RSME vol. 11, pp. 521-541. (2008).
  82. A Delineability-based Method for Computing Critical Sets of Algebraic Surfaces.
    Con J.G. Alcázar and J. Schicho
    Journal of Symbolic Computation vol. 42, no. 6, pp. 678-691 (2007).
  83. Local Shape of Offsets to Algebraic Curves.
    Con J.G. Alcázar
    Journal of Symbolic Computation vol. 42, pp. 338-351 (2007).
  84. Finite Piecewise Polynomial Parametrization of Plane Rational Algebraic Curves.
    With S. Pérez-Díaz and C. Villarino.
    Applicable Algebra in Engineering, Communication and Computing vol 18. no. 1-2, pp- 91-105 (2007).
  85. Distance Bounds of $\epsilon$--Points on Hypersurfaces
    Con S. Pérez-Díaz and J. Sendra.
    Theoretical Computer Science vol. 359, no. 1-3, pp. 344-368 (2006).
  86. Computation of the Topology Types of the Level Curves of Real Algebraic Surfaces.
    Con J.G. Alcázar and J. Schicho.
    Tech. Report SFB 2006-2, Austria (2006).
  87. Partial Degree Formulae for Rational Algebraic Surfaces.
    Con S. Pérez-Díaz.
    Proc. ISSAC-2005 pp. 301-308. ACM Press (2005)
  88. Computation of the Topology of Real Algebraic Space Curves.
    Con J.G. Alcazar.
    Journal of Symbolic Computation 39/6, pp. 719-744 (2005)
  89. Parametrization of Aproximate Algebraic Surfaces by Lines.
    Con S. Pérez-Díaz and J. Sendra.
    Computer Aided Geometric Design. Vol 22/2 pp 147-181 (2005)
  90. The Challenge of Approximately Parametrizing Algebraic Curves and Surfaces.
    Con S. Pérez-Díaz and J. Sendra.
    Proc. of Algorithmic Algebra and Logic. Conference in Honor of the 60 th. Birthday of Volker Weispfenning, pp. 187-194 (2005).
  91. Distance Properties of $\epsilon$--Points on Algebraic Curves.
    Con S. Pérez-Díaz and J. Sendra.
    Series Mathematics and Visualization. Springer Verlag. pp. 45-63. (2005).
  92. Degree Formulae for Offset Curves.
    Con F. San Segundo.
    Journal of Pure and Applied Algebra vol 195/3 pp. 301-335 (2005)
  93. La variedad de Weil para variedades unirracionales.
    Con C. Andradas and T. Recio.
    Contribuciones Matemáticas: Homenaje al Profesor Enrique Outerelo Domínguez. Editorial de la Universidad Complutense de Madrid, pp. 33-51(2004).
  94. From Hypercircles to Units.
    Con T. Recio and C. Villarino.
    Proc. ISSAC-2004, pp. 258-265, ACM-PRESS (2004).
  95. Computation of the Degree of Rational Surface Parametrizations.
    Con S. Pérez-Díaz.
    Journal of Pure and Applied Algebra vol. 193/1-3, pp. 627-650 (2004).
  96. Parametrization of Approximate Algebraic Curves by lines.
    Con S.Pérez-Diaz and J. Sendra.
    Theoretical Computer Science vol. 315/2-3, pp. 627-650 (2004)
  97. Algebraic Methods in Computer Aided Geometric Design: Theoretical and Practical Applications.
    Con L. González-Vega, I. Necula, S. Pérez-Díaz, J. Sendra.
    Geometric Computation. F. Chen and D. Wang (eds.) Lecture Notes on Computing Vol. 11. Chapter 1, pp. 1-33, World Scientific Publishing Co., Singapure (2004).
  98. Rational Curves and Surfaces: Algorithms and Some Applications.
    Geometric Computation. F. Chen and D. Wang (eds.) Lecture Notes on Computing Vol. 11. Chapter 3, pp. 63-125, World Scientific Publishing Co., Singapure (2004).
  99. Computing All Parametric Solutions for Blending Parametric Surfaces.
    Con S. Pérez-Díaz.
    Journal of Symbolic Computation vol. 36/6, pp. 925-964 (2003).
  100. Normal Parametrization of Algebraic Plane Curves.
    Journal of Symbolic Computation vol. 33, pp. 863-885 (2002).
  101. An inversion-based implicitization method.
    Con I. Emiri.
    INRIA Tech. Reports no. 4484 (2002).
  102. Algebraically Optimal Parametrization of Quasi-Polynomial Algebraic Curves.
    Con C. Villarino.
    Journal of Algebra and its Applications vol. 1, no. 1, pp. 51-74 (2002).
  103. Properness and Invesion of Rational Parametrizations of Surfaces.
    Con S. Pérez-Díaz and J. Schicho.
    Applicable Algebra in Engineering, Communication and Computing vol. 13, pp. 29-51. (2002).
  104. Tracing Index of Rational Curve Parametrizations.
    Con F. Winkler.
    Computer Aided Geometric Design vol. 18/8, pp. 771-795 (2001)
  105. Parametric G^1 Blending of Several Surfaces.
    Con S. Pérez-Díaz.
    Computer Algebra in Scientific Computing, Ganzha V.G., Mayr E.W., Vorozhtsov E.V. (eds), pp. 445-461. Springer Verlag (2001).
  106. Computation of the Degree of Rational Maps Between Curves.
    Con F. Winkler.
    Proc. ISSAC 2001 pp. 317-322. ACM Press (2001).
  107. Optimal Reparametrization of Polynomial Algebraic Curves.
    Con C.Villarino.
    International Journal of Computation Geometry and Applications Vol. 11, no. 4, pp. 439-454 (2001).
  108. Algebraic-Geometric Methods for the Manipulation of Curves and Surfaces.
    Con L. González-Vega.
    Actas EACA-2001 pp. 45-60 (2001) & ORCCA (The Ontario Research Center for Computer Algebra) Technical Report TR-01-07 (2001).
  109. Rationality Analysis and Direct Parametrization of Generalized Offsets to Quadrics.
    Con J. Sendra.
    Applicable Algebra in Engineering, Communication and Computing vol. 11, no. 2, pp. 111-139 (2000).
  110. Algebraic Analysis of Offsets to Hypersurfaces.
    Con J. Sendra.
    Mathematische Zeitschrift 234, 697-719 (2000).
  111. Base Field Restriction Techniques for Parametric Curves.
    Con C.Andradas and T.Recio.
    Proc. ISSAC 99, pp.17-22, ACM Press (1999)
  112. Algorithms for Rational Real Algebraic Curves.
    Con F. Winkler.
    Fundamenta Informaticae Vol 39, nos 1-2, pp. 211-228 (1999).
  113. Genus Formula for Generalized Offset Curves.
    Con E. Arrondo and J. Sendra.
    Journal of Pure and Applied Algebra Volume 136, Issue 3, pp. 199-209, (1999).
  114. Computation of Variant Resultants.
    Con H. Hoon.
    Quantifier Elimination and Cylindrical Decomposition, B. Caviness, J. Johnson (eds) Texts and Monographs in Symbolic Computation pp. 327-340, Springer-Verlag (1998).
  115. Real Parametrization of Algebraic Plane Curves.
    Con F. Winkler.
    Lecture Notes in Artificial Intelillence no. 1476, pp. 284-295, Springer Verlag (1998).
  116. A relatively Optimal Rational Space Curves Reparametrization. Algorithm Through Canonical Divisors.
    Con C. Andradas and T. Recio.
    Proc. ISSAC97 pp. 349-356, ACM Press (1997).
  117. Parametric Generalized Offsets to Hypersurfaces.
    Con E. Arrondo and J. Sendra.
    Journal of Symbolic Computation 23/2,3, 267-285 (1997).
  118. Parametrization of Algebraic Curves over Optimal Field Extensions.
    Con F. Winkler.
    Journal of Symbolic Computation 23/2,3, 191-207 (1997).
  119. Real Reparametrizations of Real Curves.
    Con T. Recio.
    Journal of Symbolic Computation 23/2,3, 241-254 (1997).
  120. On the Complexity of Parametrizing Curves.
    Con M. Mnuk and F. Winkler.
    Beiträge zur Algebra und Geometrie 37/2, 309-328 (1997).
  121. A Really Elementary Proof of Real Lüroth Theorem.
    Con T. Recio.
    Revista Matemática de la Universidad Complutense de Madrid. 10 pp. 283-291 (1997).
  122. Rank of a Hankel Matrix over Z[x1,..,xr].
    Con J. Llovet.
    Applicable Algebra in Engineering, Communication and Computing 3, pp. 245-256 (1992).
  123. An Algorithm for Computing Multivariate Polynomial Resultant.
    Con J. Llovet, J.A. Jaen, R. Martínez.
    Computer Science pp. 159-165, Plenum Press (1992).
  124. An Algorithm for Computing the Number of Real Roots.
    Con J. Llovet and R. Martínez.
    Linear Algebra and Its Applications vol. 170 pp. 228-234. (1992).
  125. An Extended Polynomial GCD Algorithm using Hankel Matrices.
    Con J. Llovet.
    Journal of Symbolic Computation, vol. 13 no. 1, pp. 25-39 (1992).
  126. Symbolic Parametrization of Curves.
    Con F. Winkler.
    Journal of Symbolic Computation vol. 12 no.6 pp. 607-631 (1991).
  127. Hankel Matrices and Computer Algebra.
    ACM SIGSAM Bulletin Vol.24 no.3 pp.17-26 (1990).
  128. Hankel Matrices and Polynomials.
    Con J. Llovet.
    Lecture Notes in Computer Science 356 pp. 321-333, Springer Verlag (1989).