Journal Articles

Peer-reviewed articles in journals of mathematics, symbolic computation and applications, listed in reverse chronological order. Reference identifiers (DOIs) are shown as plain text.

  1. 101 N. J. Calkin, R. M. Corless, L. González-Vega, J. Rafael Sendra, J. Sendra On the maximal spread of symmetric Bohemian matrices IMA Journal of Numerical Analysis (to appear)
  2. 100 M. Bizarre, M. Lavička, J. Rafael Sendra, J. Vršek Characterization of polynomial surfaces of revolution and polynomial quadrics Journal of Computational and Applied Mathematics 474, 116939 (2026) doi:10.1016/j.cam.2025.116939
  3. 99 S. Falkensteiner, J. Rafael Sendra Rational Solutions of Parametric First-Order Algebraic Differential Equations Bulletin des Sciences Mathématiques 205, 103694 (2025) doi:10.1016/j.bulsci.2025.103694
  4. 98 S. Falkensteiner, D. Pavlov, J. Rafael Sendra On real and observable rational realizations of input-output equations Systems & Control Letters 198, 106059 (2025) doi:10.1016/j.sysconle.2025.106059
  5. 97 S. Falkensteiner, A. Ovchinnikov, J. Rafael Sendra Algorithm for globally identifiable reparametrizations of ODEs Journal of Symbolic Computation 128, 102385 (2025) doi:10.1016/j.jsc.2024.102385
  6. 96 S. Falkensteiner, J. Rafael Sendra Rationality and Parametrizations of Algebraic Curves under Specializations Journal of Algebra 659, 698–744 (2024) doi:10.1016/j.jalgebra.2024.07.009
  7. 95 J. Caravantes, S. Pérez-Díaz, J. Rafael Sendra Birational Reparametrizations of Surfaces Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A-Mat. 118, 109 (2024) doi:10.1007/s13398-024-01609
  8. 94 S. Falkensteiner, J. Rafael Sendra Transforming Radical Differential Equations to Algebraic Differential Equations Mediterranean Journal of Mathematics 21, 87 (2024) doi:10.1007/s00009-024-02624-1
  9. 93 J. Caravantes, J. Rafael Sendra, D. Sevilla, C. Villarino Sufficient conditions for the surjectivity of radical curve parametrizations Journal of Algebra 640, 129–146 (2024) doi:10.1016/j.jalgebra.2023.11.004
  10. 92 J. Caravantes, J. Rafael Sendra, D. Sevilla, C. Villarino A note about rational surfaces as unions of affine planes Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A-Mat. 117, 69 (2023) doi:10.1007/s13398-023-01401-1
  11. 91 A. Lastra, J. Rafael Sendra, J. Sendra Symbolic Treatment of Trigonometric Parametrizations: the general unirational case and applications Communications in Mathematics and Statistics 13, 481–505 (2025) doi:10.1007/s40304-023-00334-w
  12. 90 S. Falkensteiner, J. J. Mitteramskogler, J. Rafael Sendra, F. Winkler The Algebro-Geometric Method: solving algebraic differential equations by parametrizations Bulletin of the American Mathematical Society 60(1), 85–122 (2023) doi:10.1090/bull/1773
  13. 89 J. Cano, S. Falkensteiner, D. Robertz, J. Rafael Sendra Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables Journal of Symbolic Computation 114, 1–17 (2023) doi:10.1016/j.jsc.2022.04.012
  14. 88 J. Cano, S. Falkensteiner, J. Rafael Sendra Existence and convergence of Puiseux series solutions for autonomous first order differential equations Journal of Symbolic Computation 108, 137–151 (2022) doi:10.1016/j.jsc.2020.06.010
  15. 87 E. Y. S. Chan, R. M. Corless, L. González-Vega, J. Rafael Sendra, J. Sendra Inner Bohemian inverses Applied Mathematics and Computation 421, 126945 (2022) doi:10.1016/j.amc.2022.126945
  16. 86 D. Cox, S. Pérez-Díaz, J. Rafael Sendra On the base point locus of surface parametrizations: formulas and consequences Communications in Mathematics and Statistics 10, 757–783 (2022) doi:10.1007/s40304-021-00257-4
  17. 85 A. Lastra, J. Sanz, J. Rafael Sendra On the summability of a class of formal power series Mathematical Inequalities & Applications 25(4), 1101–1121 (2022) doi:10.7153/mia-2022-25-68
  18. 84 J. Caravantes, J. Rafael Sendra, D. Sevilla, C. Villarino Transforming ODEs and PDEs from radical coefficients to rational coefficients Mediterranean Journal of Mathematics 18, 96 (2021) doi:10.1007/s00009-021-01703-x
  19. 83 J. Cano, S. Falkensteiner, J. Rafael Sendra Algebraic, rational and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one Mathematics in Computer Science 15, 189–198 (2021) doi:10.1007/s11786-020-00478-w
  20. 82 P. S. Stanimirović, M. Ćirić, J. Rafael Sendra, A. Lastra, J. Sendra Representations and symbolic computation of generalized inverses over fields Applied Mathematics and Computation 406, 126287 (2021) doi:10.1016/j.amc.2021.126287
  21. 81 P. S. Stanimirović, J. Rafael Sendra, R. Behera, J. K. Sahoo, D. Mosić, J. Sendra, A. Lastra Computing tensor generalized inverses via specialization and rationalization Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A-Mat. 115, 116 (2021) doi:10.1007/s13398-021-01057-9
  22. 80 P. S. Stanimirović, M. Ćirić, A. Lastra, J. Rafael Sendra, J. Sendra Representations and geometrical properties of generalized inverses over fields Linear and Multilinear Algebra, 1–21 (2021) doi:10.1080/03081087.2021.1985420
  23. 79 S. Falkensteiner, J. Rafael Sendra Solving First Order Autonomous Algebraic Ordinary Differential Equations by Places Mathematics in Computer Science 14, 327–337 (2020) doi:10.1007/s11786-019-00431-6
  24. 78 E. Y. S. Chan, R. M. Corless, L. González-Vega, J. Rafael Sendra, J. Sendra, E. Thornton Upper Hessenberg and Toeplitz Bohemians Linear Algebra and its Applications 601, 72–100 (2020) doi:10.1016/j.laa.2020.03.037
  25. 77 M. C. Beltrametti, J. Rafael Sendra, J. Sendra, L. M. Torrente Moore-Penrose approach in the Hough transform framework Applied Mathematics and Computation 375, 125083 (2020) doi:10.1016/j.amc.2020.125083
  26. 76 E. Bueno, R. Mateos, J. Moriano, M. Rizo, J. Rafael Sendra Distortion-Free Instantaneous Multifrequency Saturator for THD Current Reduction IEEE Transactions on Industrial Electronics 66(7), 5310–5320 (2019) doi:10.1109/TIE.2018.2868317
  27. 75 E. Y. S. Chan, R. M. Corless, L. González-Vega, J. Rafael Sendra, J. Sendra Algebraic Linearizations of Matrix Polynomials Linear Algebra and its Applications 563, 373–399 (2019) doi:10.1016/j.laa.2018.10.028
  28. 74 G. Grasegger, A. Lastra, J. Rafael Sendra, F. Winkler Rational General Solutions of Systems of First-Order Algebraic Partial Differential Equations Journal of Computational and Applied Mathematics 331, 88–103 (2018) doi:10.1016/j.cam.2017.10.010
  29. 73 J. Caravantes, J. Rafael Sendra, D. Sevilla, C. Villarino On the existence of birational surjective parametrizations of affine surfaces Journal of Algebra 501, 206–214 (2018) doi:10.1016/j.jalgebra.2017.12.028
  30. 72 M. Peternell, J. Rafael Sendra, J. Sendra Cissoid Constructions of Augmented Rational Ruled Surfaces Computer Aided Geometric Design 60, 1–9 (2018) doi:10.1016/j.cagd.2017.12.001
  31. 71 L. Torrente, M. Beltrametti, J. Rafael Sendra r-norm bounds and metric properties for zero loci of real analytic functions Journal of Computational and Applied Mathematics 336, 375–393 (2018) doi:10.1016/j.cam.2018.01.001
  32. 70 H. Hong, J. Rafael Sendra Number of common roots and resultant of two tropical univariate polynomials Journal of Algebra 511, 420–439 (2018) doi:10.1016/j.jalgebra.2018.06.027
  33. 69 J. Rafael Sendra, J. Sendra Computation of Moore-Penrose Generalized Inverses of Matrices with Meromorphic Function Entries Applied Mathematics and Computation 313, 355–366 (2017) doi:10.1016/j.amc.2017.06.007
  34. 68 J. Rafael Sendra, D. Sevilla, C. Villarino Covering Rational Ruled Surfaces Mathematics of Computation 86(308), 2861–2875 (2017) doi:10.1090/mcom/3193
  35. 67 J. Rafael Sendra, D. Sevilla, C. Villarino Algebraic and algorithmic aspects of radical parametrizations Computer Aided Geometric Design 55, 1–14 (2017) doi:10.1016/j.cagd.2017.01.002
  36. 66 H. Hong, Y. Kim, G. Scholten, J. Rafael Sendra Resultants over Commutative Idempotent Semirings I: Algebraic aspect Journal of Symbolic Computation 79, 285–308 (2017) doi:10.1016/j.jsc.2016.02.009
  37. 65 L. Torrente, M. Beltrametti, J. Rafael Sendra Perturbation of polynomials and applications to the Hough transform Journal of Algebra 486, 328–359 (2017) doi:10.1016/j.jalgebra.2017.04.011
  38. 64 M. Fioravanti, J. Rafael Sendra Algebro-geometric analysis of bisectors of two algebraic plane curves Computer Aided Geometric Design 47, 189–203 (2016) doi:10.1016/j.cagd.2016.06.004
  39. 63 J. Rafael Sendra, S. Winkler A Heuristic and Evolutionary Algorithm to Optimize the Coefficients of Curve Parametrizations Journal of Computational and Applied Mathematics 305, 18–35 (2016) doi:10.1016/j.cam.2016.03.020
  40. 62 J. Rafael Sendra, J. Sendra Symbolic Computation of Drazin inverses by specializations Journal of Computational and Applied Mathematics 301, 201–212 (2016) doi:10.1016/j.cam.2016.01.059
  41. 61 G. Grasegger, A. Lastra, J. Rafael Sendra, F. Winkler A solution method for autonomous first-order algebraic partial differential equations Journal of Computational and Applied Mathematics 300, 119–133 (2016) doi:10.1016/j.cam.2015.12.030
  42. 60 T. Recio, J. Rafael Sendra, L. F. Tabera, C. Villarino On Tubular vs. Swung surfaces Journal of Symbolic Computation 72, 55–64 (2016) doi:10.1016/j.jsc.2014.12.003
  43. 59 A. Lastra, L. X. C. Ngô, J. Rafael Sendra, F. Winkler Rational General Solutions of Systems of Autonomous Ordinary Differential Equations of Algebro-Geometric Dimension One Publicationes Mathematicae Debrecen 86(1-2), 49–69 (2015) doi:10.5486/PMD.2015.6032
  44. 58 M. Peternell, L. Gotthart, J. Rafael Sendra, J. Sendra Offsets, Conchoids and Pedal Surfaces Journal of Geometry 106, 321–339 (2015) doi:10.1007/s00022-014-0251-1
  45. 57 J. Rafael Sendra, S. Winkler Optimization of Coefficients of Lists of Polynomials by Evolutionary Algorithms Annales Mathematicae et Informaticae 44, 177–185 (2015) ami.ektf.hu
  46. 56 S. Pérez-Díaz, J. Rafael Sendra, C. Villarino Computing the Singularities of Rational Surfaces Mathematics of Computation 84(294), 1991–2021 (2015) doi:10.1090/s0025-5718-2014-02907-4
  47. 55 J. Rafael Sendra, J. Sendra Gröbner Basis Computation of Drazin Inverses with Multivariate Rational Function Entries Applied Mathematics and Computation 259, 450–459 (2015) doi:10.1016/j.amc.2015.02.070
  48. 54 L. X. C. Ngô, J. Rafael Sendra, F. Winkler Birational Transformations Preserving Rational Solutions of Algebraic Ordinary Differential Equations Journal of Computational and Applied Mathematics 286, 114–127 (2015) doi:10.1016/j.cam.2015.03.007
  49. 53 J. Rafael Sendra, D. Sevilla, C. Villarino Missing sets in rational parametrizations of surfaces of revolution Computer-Aided Design 66, 55–61 (2015) doi:10.1016/j.cad.2015.04.006
  50. 52 T. Recio, J. Rafael Sendra, L. F. Tabera, C. Villarino Ultraquadrics associated to affine and projective automorphisms Applicable Algebra in Engineering, Communication and Computing 25(6), 431–445 (2014) doi:10.1007/s00200-014-0236-1
  51. 51 S. Rueda, J. Rafael Sendra, J. Sendra Bounding and Estimating the Hausdorff distance between real space algebraic curves Computer Aided Geometric Design 31, 182–198 (2014) doi:10.1016/j.cagd.2014.02.005
  52. 50 C. Andradas, T. Recio, J. Rafael Sendra, L. F. Tabera, C. Villarino Reparametrizing Swung Surfaces over the Reals Applicable Algebra in Engineering, Communication and Computing 25, 39–65 (2014) doi:10.1007/s00200-014-0215-6
  53. 49 S. Rueda, J. Rafael Sendra, J. Sendra Rational Hausdorff Divisors: a New approach to the Approximate Parametrization of Curves Journal of Computational and Applied Mathematics 263, 445–465 (2014) doi:10.1016/j.cam.2013.12.052
  54. 48 T. Recio, J. Rafael Sendra, L. F. Tabera, C. Villarino Factoring analytic multivariate polynomials and non-standard Cauchy-Riemann conditions Mathematics and Computers in Simulation 104, 43–57 (2014) doi:10.1016/j.matcom.2013.03.013
  55. 47 S. Pérez-Díaz, J. Rafael Sendra Behavior of the Fiber and the Base Points of Parametrizations under Projections Mathematics in Computer Science 7(2), 167–184 (2013) doi:10.1007/s11786-013-0139-8
  56. 46 J. Rafael Sendra, D. Sevilla First Steps Towards Radical Parametrization of Algebraic Surfaces Computer Aided Geometric Design 30(4), 374–388 (2013) doi:10.1016/j.cagd.2012.12.004
  57. 45 S. Rueda, J. Rafael Sendra, J. Sendra An Algorithm to Parametrize Approximately Space Curves Journal of Symbolic Computation 56, 80–106 (2013) doi:10.1016/j.jsc.2013.04.002
  58. 44 F. San Segundo, J. Rafael Sendra Total Degree Formula for the Generic Offset to a Parametric Surface International Journal of Algebra and Computation 22(2), 1250013–1250047 (2012) doi:10.1142/S0218196711006807
  59. 43 L. Alvarez, L. Gómez, J. Rafael Sendra Accurate Depth Dependent Lens Distortion Models: An Application to Planar View Scenarios Journal of Mathematical Imaging and Vision 39, 75–85 (2011) doi:10.1007/s10851-010-0226-2
  60. 42 C. Andradas, T. Recio, J. Rafael Sendra, C. Villarino Proper Real Reparametrization of Rational Ruled Surfaces Computer Aided Geometric Design 28, 102–113 (2011) doi:10.1016/j.cagd.2010.12.001
  61. 41 J. Rafael Sendra, D. Sevilla Radical Parametrizations of Algebraic Curves by Adjoint Curves Journal of Symbolic Computation 46, 1030–1038 (2011) doi:10.1016/j.jsc.2011.05.005
  62. 40 T. Recio, J. Rafael Sendra, L. F. Tabera, C. Villarino Algorithmic Detection of Hypercircles Mathematics and Computers in Simulation 82, 54–67 (2011) doi:10.1016/j.matcom.2010.07.017
  63. 39 S. Pérez-Díaz, J. Rafael Sendra, C. Villarino A First Approach Towards Normal Parametrizations of Algebraic Surfaces International Journal of Algebra and Computation 20(8), 977–990 (2010) doi:10.1142/S0218196710005972
  64. 38 J. Sendra, J. Rafael Sendra Rational Parametrization of Conchoids to Algebraic Curves Applicable Algebra in Engineering, Communication and Computing 21, 285–308 (2010) doi:10.1007/s00200-010-0126-0
  65. 37 T. Recio, J. Rafael Sendra, L. F. Tabera, C. Villarino Generalizing circles over algebraic extensions Mathematics of Computation 79(270), 1067–1089 (2010) doi:10.1090/S0025-5718-09-02284-4
  66. 36 S. Rueda, J. Rafael Sendra Linear complete differential resultants and the implicitization of linear DPPEs Journal of Symbolic Computation 45, 212–231 (2010) doi:10.1016/j.jsc.2009.09.003
  67. 35 S. Pérez-Díaz, S. Rueda, J. Sendra, J. Rafael Sendra Approximate Parametrization of Plane Algebraic Curves by Linear Systems of Curves Computer Aided Geometric Design 27, 212–231 (2010) doi:10.1016/j.cagd.2009.12.002
  68. 34 L. Alvarez, L. Gómez, J. Rafael Sendra An Algebraic Approach to Lens Distortion by Line Rectification Journal of Mathematical Imaging and Vision 35, 36–50 (2009) doi:10.1007/s10851-009-0153-2
  69. 33 F. San Segundo, J. Rafael Sendra Partial Degree Formulae for Plane Offset Curves Journal of Symbolic Computation 44, 635–654 (2009) doi:10.1016/j.jsc.2008.10.002
  70. 32 C. Andradas, T. Recio, J. Rafael Sendra, L. F. Tabera On the simplification of the coefficients of a parametrization Journal of Symbolic Computation 44, 192–210 (2009)
  71. 31 J. Rafael Sendra, J. Sendra An Algebraic Analysis of Conchoids to Algebraic Curves Applicable Algebra in Engineering, Communication and Computing 19, 413–428 (2008)
  72. 30 S. Pérez-Díaz, J. Rafael Sendra A Univariate Resultant Based Implicitization Algorithm for Surfaces Journal of Symbolic Computation 43, 118–139 (2008)
  73. 29 J. G. Alcázar, J. Schicho, J. Rafael Sendra A Delineability-based Method for Computing Critical Sets of Algebraic Surfaces Journal of Symbolic Computation 42, 678–691 (2007)
  74. 28 J. G. Alcázar, J. Rafael Sendra Local Shape of Offsets to Algebraic Curves Journal of Symbolic Computation 42, 338–351 (2007)
  75. 27 S. Pérez-Díaz, J. Rafael Sendra, C. Villarino Finite Piecewise Polynomial Parametrization of Plane Rational Algebraic Curves Applicable Algebra in Engineering, Communication and Computing 18(1-2), 91–105 (2007)
  76. 26 S. Pérez-Díaz, J. Rafael Sendra, J. Sendra Distance Bounds of ε-Points on Hypersurfaces Theoretical Computer Science 359(1-3), 344–368 (2006)
  77. 25 J. G. Alcázar, J. Rafael Sendra Computation of the Topology of Real Algebraic Space Curves Journal of Symbolic Computation 39(6), 719–744 (2005)
  78. 24 S. Pérez-Díaz, J. Rafael Sendra, J. Sendra Parametrization of Approximate Algebraic Surfaces by Lines Computer Aided Geometric Design 22(2), 147–181 (2005)
  79. 23 F. San Segundo, J. Rafael Sendra Degree Formulae for Offset Curves Journal of Pure and Applied Algebra 195(3), 301–335 (2005)
  80. 22 S. Pérez-Díaz, J. Rafael Sendra Computation of the Degree of Rational Surface Parametrizations Journal of Pure and Applied Algebra 193(1-3), 627–650 (2004)
  81. 21 S. Pérez-Díaz, J. Rafael Sendra, J. Sendra Parametrization of Approximate Algebraic Curves by lines Theoretical Computer Science 315(2-3), 627–650 (2004)
  82. 20 S. Pérez-Díaz, J. Rafael Sendra Computing All Parametric Solutions for Blending Parametric Surfaces Journal of Symbolic Computation 36(6), 925–964 (2003)
  83. 19 J. Rafael Sendra Normal Parametrization of Algebraic Plane Curves Journal of Symbolic Computation 33, 863–885 (2002)
  84. 18 J. Rafael Sendra, C. Villarino Algebraically Optimal Parametrization of Quasi-Polynomial Algebraic Curves Journal of Algebra and its Applications 1(1), 51–74 (2002)
  85. 17 S. Pérez-Díaz, J. Schicho, J. Rafael Sendra Properness and Inversion of Rational Parametrizations of Surfaces Applicable Algebra in Engineering, Communication and Computing 13, 29–51 (2002)
  86. 16 J. Rafael Sendra, F. Winkler Tracing Index of Rational Curve Parametrizations Computer Aided Geometric Design 18(8), 771–795 (2001)
  87. 15 J. Rafael Sendra, C. Villarino Optimal Reparametrization of Polynomial Algebraic Curves International Journal of Computational Geometry and Applications 11(4), 439–454 (2001)
  88. 14 J. Rafael Sendra, J. Sendra Rationality Analysis and Direct Parametrization of Generalized Offsets to Quadrics Applicable Algebra in Engineering, Communication and Computing 11(2), 111–139 (2000)
  89. 13 J. Rafael Sendra, J. Sendra Algebraic Analysis of Offsets to Hypersurfaces Mathematische Zeitschrift 234, 697–719 (2000)
  90. 12 J. Rafael Sendra, F. Winkler Algorithms for Rational Real Algebraic Curves Fundamenta Informaticae 39(1-2), 211–228 (1999)
  91. 11 E. Arrondo, J. Rafael Sendra, J. Sendra Genus Formula for Generalized Offset Curves Journal of Pure and Applied Algebra 136(3), 199–209 (1999)
  92. 10 E. Arrondo, J. Rafael Sendra, J. Sendra Parametric Generalized Offsets to Hypersurfaces Journal of Symbolic Computation 23(2-3), 267–285 (1997)
  93. 9 J. Rafael Sendra, F. Winkler Parametrization of Algebraic Curves over Optimal Field Extensions Journal of Symbolic Computation 23(2-3), 191–207 (1997)
  94. 8 T. Recio, J. Rafael Sendra Real Reparametrizations of Real Curves Journal of Symbolic Computation 23(2-3), 241–254 (1997)
  95. 7 M. Mnuk, J. Rafael Sendra, F. Winkler On the Complexity of Parametrizing Curves Beiträge zur Algebra und Geometrie 37(2), 309–328 (1997)
  96. 6 T. Recio, J. Rafael Sendra A Really Elementary Proof of Real Lüroth Theorem Revista Matemática de la Universidad Complutense de Madrid 10, 283–291 (1997)
  97. 5 J. Llovet, J. Rafael Sendra Rank of a Hankel Matrix over Z[x₁,…,xᵣ] Applicable Algebra in Engineering, Communication and Computing 3, 245–256 (1992)
  98. 4 J. Llovet, R. Martínez, J. Rafael Sendra An Algorithm for Computing the Number of Real Roots Linear Algebra and Its Applications 170, 228–234 (1992)
  99. 3 J. Llovet, J. Rafael Sendra An Extended Polynomial GCD Algorithm using Hankel Matrices Journal of Symbolic Computation 13(1), 25–39 (1992)
  100. 2 J. Rafael Sendra, F. Winkler Symbolic Parametrization of Curves Journal of Symbolic Computation 12(6), 607–631 (1991)
  101. 1 J. Rafael Sendra Hankel Matrices and Computer Algebra ACM SIGSAM Bulletin 24(3), 17–26 (1990)