Research Papers

  1. Algebraic Linearizations of Matrix Polynomials
    With Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega, Juana Sendra
    Linear Algebra and its Applications 563 (2019) 373-399
  2. Distortion-Free Instantaneous Multifrequency Saturator for THD Current Reduction
    With J. Moriano, M. Rizo, E. Bueno and R. Mateos
    IEEE Transactions on Industrial Electronics
    To appear
  3. Number of common roots and resultant of two tropical univariate polynomials.
    With H. Hong
    Journal of Algebra 511 (2018) 420-439.
    https://doi.org/10.1016/j.jalgebra.2018.06.027
  4. The importance of being zero.
    With T.Recio, C.Villarino.
    Proc. ISSAC2018 pp. 327-333. ACM Press.
    https://doi.org/10.1145/3208976.3208981
  5. 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.
  6. $r$-norm bounds and metric properties for zero loci of real analytic functions
    With L. Torente, M. Beltrametti.
    Journal of Computational and Applied Mathematics 336 (2018) 375-393
    https://doi.org/10.1016/j.cam.2018.01.001
  7. Cissoid Constructions of Augmented Rational Ruled Surfaces.
    With M. Peternell, J. Sendra.
    Computer Aided Geometric Design 60 (2018) 1-9.
    https://doi.org/10.1016/j.cagd.2017.12.001
  8. 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
  9. 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.
    https://doi.org/10.1007/978-3-319-74718-7
  10. Rational General Solutions of Systems of First-Order Algebraic Partial Differential Equations.
    With Georg Grasegger, Alberto Lastra, and Franz Winkler.
    Journal of Computational and Applied Mathematics 331 (2018) 88-103.
    https://doi.org/10.1016/j.cam.2017.10.010
  11. Computation of Moore-Penrose Generalized Inverses of Matrices with Meromorphic Function Entries
    With J. Sendra
    Applied Mathematics and Computation 313C (2017) pp. 355-366
    10.1016/j.amc.2017.06.007
  12. Perturbation of polynomials and applications to the Hough transform
    With L. Torrente and M. Beltrametti
    Journal of Algebra 486 (2017) 328-359
    10.1016/j.jalgebra.2017.04.011
  13. Algebraic and algorithmic aspects of radical parametrizations.
    With D. Sevilla and C. Villarino
    Computer Aided Geometric Design 55 1-14. (2017)
    DOI 10.1016/j.cagd.2017.01.002
  14. Covering Rational Ruled Surfaces
    With D. Sevilla and C. Villarino
    Mathematics of Computation Volume 86, Number 308, November 2017, Pages 2861-2875
    http://dx.doi.org/10.1090/mcom/3193
  15. Resultants over Commutative Idempotent Semirings I: (Algebraic aspect)
    With Hoon Hong, Yonggu Kim, Georgy Scholten.
    Journal of Symbolic Computation 79 (2017) 285-308.
  16. Algebro-geometric analysis of bisectors of two algebraic plane curves
    With M. Fioravanti.
    Computer Aided Geometric Design 47 (2016) 189-203.
  17. A Heuristic and Evolutionary Algorithm to Optimize the Coefficients of Curve Parametrizations.
    With Stephan Winkler.
    Journal of Computational and Applied Mathematics 305 (2016) 18--35.
    doi:10.1016/j.cam.2016.03.020
    Véase también corrigendum doi:10.1016/j.cam.2016.04.028
  18. Symbolic Computation of Drazin inverses by specializations.
    With J. Sendra.
    Journal of Computational and Applied Mathematics 301 (2016) 201-212
    doi:10.1016/j.cam.2016.01.059.
  19. A solution method for autonomous First-order algebraic partial differential equations.
    With Grasegger G., Lastra A., Winkler F.
    Journal of Computational and Applied Mathematics 300 (2016) 119--133.
    doi:10.1016/j.cam.2015.12.030.
  20. On Tubular vs. Swung surfaces
    With Recio T., Tabera L.F., Villarino C.
    Journal of Symbolic Computation 72 (2016) 55--64.
    DOI 10.1016/j.jsc.2014.12.003
  21. Missing sets in rational parametrizations of surfaces of revolution.
    With Sevilla D., Villarino C.
    Computer-Aided Design 66 (2015) 55--61.
    DOI 10.1016/j.cad.2015.04.006
  22. Birational Transformations Preserving Rational Solutions of Algebraic Ordinary Differential Equations.
    With Ngô L.X.C., Winkler F.
    Journal of Computational and Applied Mathematics (2015), pp. 114-127.
    DOI 10.1016/j.cam.2015.03.007.
  23. Gröbner Basis Computation of Drazin Inverses with Multivariate Rational Function Entries.
    With J. Sendra
    Applied Mathematics and Computation 259 (2015) pp. 450-459.
    DOI 10.1016/j.amc.2015.02.070
  24. Some results on the surjectivity of surface parametrizations.
    With 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
  25. Computing the Singularities of Rational Surfaces.
    With Pérez-Díaz S., Villarino C.
    Math. Comp. 84 (2015), 1991-2021
    DOI http://dx.doi.org/10.1090/S0025-5718-2014-02907-4
  26. Optimization of Coefficients of Lists of Polynomials by Evolutionary Algorithms
    With Winkler Stephan
    Annales Mathematicae et Informaticae 44 (2015) pp. 177-185
  27. Offsets, Conchoids and Pedal Surfaces
    With Martin Peternell, Lukas Gotthart, Juana Sendra
    Journal of Geometry Volume 106, Issue 2 (2015), Page 321-339.
    DOI 10.1007/s00022-014-0251-1
  28. Ultraquadrics associated to affine and projective automorphisms
    With 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.
  29. On symbolic solutions of algebraic partial differential equations.
    With 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
  30. Rational General Solutions of Systems of Autonomous Ordinary Differential Equations of Algebro-Geometric Dimension One.
    With A. Lastra, L. X. C. Ngô and F. Winkler
    Publ. Math. Debrecen 2015 / 86 / 1-2 49-69.
    DOI: 10.5486/PMD.2015.6032
  31. Covering of surfaces parametrized without projective base points.
    With Sevilla D., Villarino C.
    Proc. ISSAC2014 ACM Press, pages 375-380, 2014,
    ISBN:978-1-4503-2501-1,
    DOI: 10.1145/2608628.2608635.
  32. Bounding and Estimating the Hausdorff distance between real space algebraic curves.
    With Rueda S., Sendra J.
    Computer Aided Geometric Design. vol 31 (2014) 182-198.
    DOI 10.1016/j.cagd.2014.02.005.
  33. Reparametrizing Swung Surfaces over the Reals.
    With 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
  34. Rational Hausdorff Divisors: a New approach to the Approximate Parametrization of Curves.
    With Rueda S., Sendra J.
    Journal of Computational and Applied Mathematics 263 (2014), pp. 445-465
    DOI: 10.1016/j.cam.2013.12.052
  35. Factoring analytic multivariate polynomials and non-standard Cauchy-Riemann conditions.
    With Recio T., Tabera L.F., Villarino C.
    Mathematics and Computers in Simulation 104 (2014) 43-57.
    DOI: 10.1016/j.matcom.2013.03.013
  36. Behavior of the Fiber and the Base Points of Parametrizations under Projections
    With Pérez-Díaz S.
    Mathematics in Computer Science Volume 7, Issue 2 (2013), Page 167-184
  37. First Steps Towards Radical Parametrization of Algebraic Surfaces.
    With Sevilla D.
    Computer Aided Geometric Design Volume 30, Issue 4, pp. 374-388 (2013).
  38. An Algorithm to Parametrize Approximately Space Curves
    With S. Rueda, J. Sendra
    Journal of Symbolic Computation vol. 56 pp. 80-106 (2013)
  39. Classification of algebraic ODEs with respect to rational solvability
    With L.X.C. Ngô, F. Winkler
    Computational Algebraic and Analytic Geometry vol. 572 pp. 193-210, AMS series Contemporary Mathematics (2012)
  40. Total Degree Formula for the Generic Offset to a Parametric Surface.
    With F. San Segundo.
    International Journal of Algebra and Computation Vol. 22, No. 2 (2012).
  41. Radical Parametrizations of Algebraic Curves by Adjoint Curves.
    With D. Sevilla.
    Journal of Symbolic Computation 46, 1030-1038 (2011).
  42. Algorithmic Detection of Hypercircles.
    With T.Recio, L.F. Tabera C. Villarino.
    Mathematics and Computers in Simulation 82 (2011) 54--67.
  43. Proper Real Reparametrization of Rational Ruled Surfaces.
    With C. Andradas, T. Recio, L.F. Tabera, C. Villarino.
    Computer Aided Geometric Design 28 (2011) 102-113.
  44. Accurate Depth Dependent Lens Distortion Models: An Application to Planar View Scenarios.
    With L. Alvarez, L. Gómez.
    Journal of Mathematical Imaging and Vision vol 39: 75-–85 (2011).
  45. Offsetting Revolution Surfaces
    With 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
  46. A First Approach Towards Normal Parametrizations of Algebraic Surfaces.
    With S. Pérez-Díaz, C. Villarino.
    International Journal of Algebra and Computation Vol. 20, No. 8 (2010) 977-–990.
  47. Manual de Hipercírculos.
    With 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
  48. Rational Parametrization of Conchoids to Algebraic Curves.
    With J. Sendra.
    Applicable Algebra in Engineering, Communication and Computing, vol. 21 pp. 285-308 (2010).
  49. Generalizing circles over algebraic extensions.
    With T. Recio, L.F. Tabera, C. Villarino.
    Mathematics of Comp utation vol. 79, num. 270, pp. 1067-1089 (2010).
  50. Linear complete differential resultants and the implicitization of linear DPPEs.
    With S. Rueda.
    Journal of Symbolic Computation vol. 45, 324-341 (2010).
  51. Approximate Parametrization of Plane Algebraic Curves by Linear Systems of Curves.
    With S. Pérez, S. Rueda, J. Sendra.
    Computed Aided Geometric Design vol. 27, 212-–231 (2010).
  52. An Algebraic Approach to Lens Distortion by Line Rectification.
    With L. Alvarez, L. Gómez.
    Journal of Mathematical Imaging and Vision vol 35:36-50 (2009).
  53. Algebraic Lens Distortion Model Estimation,
    With L. Alvarez, L. Gómez.
    Image Processing On Line, 1 (2010), pp. 1-10. https://doi.org/10.5201/ipol.2010.ags-alde (Software version)
  54. Partial Degree Formulae for Plane Offset Curves.
    With F. San Segundo.
    Journal of Symbolic Computation vol. 44, pp. 635-654 (2009).
  55. On the simplication of the coefficients of a parametrization.
    With C. Andradas, T. Recio, L.F. Tabera.
    Journal of Symbolic Computation vol. 44, pp. 192-210 (2009).
  56. An Algebraic Analysis of Conchoids to Algebraic Curves.
    With J. Sendra.
    Applicable Algebra in Engineering, Communication and Computing vol. 19, pp. 413-428 (2008).
  57. A Univariate Resultant Based Implicitization Algorithm for Surfaces.
    With S. Pérez-Díaz.
    Journal of Symbolic Computation vol. 43, pp. 118-139 (2008).
  58. El reto de parametrizar curves y superficies de forma aproximada.
    With S. Pérez-Díaz, S. Rueda, J. Sendra.
    Gaceta de la RSME vol. 11, pp. 521-541. (2008).
  59. A Delineability-based Method for Computing Critical Sets of Algebraic Surfaces.
    With J.G. Alcázar and J. Schicho
    Journal of Symbolic Computation vol. 42, no. 6, pp. 678-691 (2007).
  60. Local Shape of Offsets to Algebraic Curves.
    With J.G. Alcázar.
    Journal of Symbolic Computation vol. 42, pp. 338-351 (2007).
  61. 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).
  62. Distance Bounds of $\epsilon$--Points on Hypersurfaces.
    With S. Pérez-Díaz and J. Sendra.
    Theoretical Computer Science vol. 359, no. 1-3, pp. 344-368 (2006).
  63. Computation of the Topology Types of the Level Curves of Real Algebraic Surfaces.
    With J.G. Alcázar and J. Schicho.
    Tech. Report SFB 2006-2, Austria (2006).
  64. Partial Degree Formulae for Rational Algebraic Surfaces.
    With S. Pérez-Díaz.
    Proc. ISSAC-2005 pp. 301-308. ACM Press (2005)
  65. Computation of the Topology of Real Algebraic Space Curves.
    With J.G. Alcazar.
    Journal of Symbolic Computation 39/6, pp. 719-744 (2005).
  66. Parametrization of Aproximate Algebraic Surfaces by Lines.
    With S. Pérez-Díaz and J. Sendra.
    Computer Aided Geometric Design. Vol 22/2 pp 147-181 (2005).
  67. The Challenge of Approximately Parametrizing Algebraic Curves and Surfaces.
    With 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).
  68. Distance Properties of $\epsilon$--Points on Algebraic Curves.
    With S. Pérez-Díaz and J. Sendra.
    Series Mathematics and Visualization. Springer Verlag. pp. 45-63. (2005).
  69. Degree Formulae for Offset Curves.
    With F. San Segundo.
    Journal of Pure and Applied Algebra vol 195/3 pp. 301-335 (2005).
  70. La variedad de Weil para variedades unirracionales.
    With C. Andradas and T. Recio.
    Contribuciones Matemáticas: Homenaje al Profesor Enrique Outerelo Domínguez. Editorial de la Universidad Complutense de Madrid, pp. 33-51(2004).
  71. From Hypercircles to Units.
    With T. Recio and C. Villarino.
    Proc. ISSAC-2004, pp. 258-265, ACM-PRESS (2004).
  72. Computation of the Degree of Rational Surface Parametrizations.
    With S. Pérez-Díaz.
    Journal of Pure and Applied Algebra vol. 193/1-3, pp. 627-650 (2004).
  73. Parametrization of Approximate Algebraic Curves by lines.
    With S.Pérez-Diaz and J. Sendra.
    Theoretical Computer Science vol. 315/2-3, pp. 627-650 (2004)
  74. Algebraic Methods in Computer Aided Geometric Design: Theoretical and Practical Applications.
    With 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).
  75. 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).
  76. Computing All Parametric Solutions for Blending Parametric Surfaces.
    With S. Pérez-Díaz.
    Journal of Symbolic Computation vol. 36/6, pp. 925-964 (2003).
  77. Normal Parametrization of Algebraic Plane Curves.
    Journal of Symbolic Computation vol. 33, pp. 863-885 (2002).
  78. An inversion-based implicitization method.
    With I. Emiri.
    INRIA Tech. Reports no. 4484 (2002).
  79. Algebraically Optimal Parametrization of Quasi-Polynomial Algebraic Curves.
    With C. Villarino.
    Journal of Algebra and its Applications vol. 1, no. 1, pp. 51-74 (2002).
  80. Properness and Invesion of Rational Parametrizations of Surfaces.
    With S. Pérez-Díaz and J. Schicho.
    Applicable Algebra in Engineering, Communication and Computing vol. 13, pp. 29-51. (2002).
  81. Tracing Index of Rational Curve Parametrizations.
    With F. Winkler.
    Computer Aided Geometric Design vol. 18/8, pp. 771-795 (2001).
  82. Parametric G^1 Blending of Several Surfaces.
    With S. Perez-Diaz.
    Computer Algebra in Scientific Computing, Ganzha V.G., Mayr E.W., Vorozhtsov E.V. (eds), pp. 445-461. Springer Verlag (2001).
  83. Computation of the Degree of Rational Maps Between Curves.
    With F. Winkler.
    Proc. ISSAC 2001 pp. 317-322. ACM Press (2001).
  84. Optimal Reparametrization of Polynomial Algebraic Curves.
    With C.Villarino.
    International Journal of Computation Geometry and Applications Vol. 11, no. 4, pp. 439-454 (2001).
  85. Algebraic-Geometric Methods for the Manipulation of Curves and Surfaces.
    With L. González-Vega.
    Actas EACA-2001 pp. 45-60 (2001) & ORCCA (The Ontario Research Center for Computer Algebra) Technical Report TR-01-07 (2001).
  86. Rationality Analysis and Direct Parametrization of Generalized Offsets to Quadrics.
    With J. Sendra.
    Applicable Algebra in Engineering, Communication and Computing vol. 11, no. 2, pp. 111-139 (2000).
  87. Algebraic Analysis of Offsets to Hypersurfaces.
    With J. Sendra.
    Mathematische Zeitschrift 234, 697-719 (2000).
  88. Base Field Restriction Techniques for Parametric Curves.
    With C.Andradas and T.Recio.
    Proc. ISSAC 99, pp.17-22, ACM Press (1999).
  89. Algorithms for Rational Real Algebraic Curves.
    With F. Winkler.
    Fundamenta Informaticae Vol 39, nos 1-2, pp. 211-228 (1999).
  90. Genus Formula for Generalized Offset Curves.
    With E. Arrondo and J. Sendra.
    Journal of Pure and Applied Algebra Volume 136, Issue 3, pp. 199-209, (1999).
  91. Computation of Variant Resultants.
    With H. Hoon.
    Quantifier Elimination and Cylindrical Decomposition, B. Caviness, J. Johnson (eds). Texts and Monographs in Symbolic Computation pp. 327-340, Springer-Verlag (1998).
  92. Real Parametrization of Algebraic Plane Curves.
    With F. Winkler.
    Lecture Notes in Artificial Intelillence no. 1476, pp. 284-295, Springer Verlag (1998).
  93. A relatively Optimal Rational Space Curves Reparametrization. Algorithm Through Canonical Divisors.
    With C. Andradas and T. Recio.
    Proc. ISSAC97 pp. 349-356, ACM Press (1997).
  94. Parametric Generalized Offsets to Hypersurfaces.
    With E. Arrondo and J. Sendra.
    Journal of Symbolic Computation 23/2,3, 267-285 (1997).
  95. Parametrization of Algebraic Curves over Optimal Field Extensions.
    With F. Winkler.
    Journal of Symbolic Computation 23/2,3, 191-207 (1997).
  96. Real Reparametrizations of Real Curves.
    With T. Recio.
    Journal of Symbolic Computation 23/2,3, 241-254 (1997).
  97. On the Complexity of Parametrizing Curves.
    With M. Mnuk and F. Winkler.
    Beiträge zur Algebra und Geometrie 37/2, 309-328 (1997).
  98. A Really Elementary Proof of Real Lüroth Theorem.
    With T. Recio.
    Revista Matemática de la Universidad Complutense de Madrid. 10 pp. 283-291 (1997).
  99. Rank of a Hankel Matrix over Z[x1,..,xr].
    With J. Llovet.
    Applicable Algebra in Engineering, Communication and Computing 3, pp. 245-256 (1992).
  100. An Algorithm for Computing Multivariate Polynomial Resultant.
    With J. Llovet, J.A. Jaen, R. Martínez.
    Computer Science pp. 159-165, Plenum Press (1992).
  101. An Algorithm for Computing the Number of Real Roots.
    With J. Llovet and R. Martínez.
    Linear Algebra and Its Applications vol. 170 pp. 228-234. (1992).
  102. An Extended Polynomial GCD Algorithm using Hankel Matrices.
    With J. Llovet.
    Journal of Symbolic Computation, vol. 13 no. 1, pp. 25-39 (1992).
  103. Symbolic Parametrization of Curves.
    With F. Winkler.
    Journal of Symbolic Computation vol. 12 no.6 pp. 607-631 (1991).
  104. Hankel Matrices and Computer Algebra.
    ACM SIGSAM Bulletin Vol.24 no.3 pp.17-26 (1990).
  105. Hankel Matrices and Polynomials.
    With J. Llovet.
    Lecture Notes in Computer Science 356 pp. 321-333, Springer Verlag (1989).