ASYNACS
Algoritmos simbólicos y numéricos y aplicaciones a curvas y superficies ; Symbolic and numerical algorithms and applications to curves and surfaces.
Publicaciones (71) Publicaciones en las que ha participado algún/a investigador/a
2024
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Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications
Numerical Linear Algebra with Applications, Vol. 31, Núm. 1
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An effective algorithm for computing the asymptotes of an implicit curve
Journal of Computational and Applied Mathematics, Vol. 437
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Detecting affine equivalences between certain types of parametric curves, in any dimension
AIMS Mathematics, Vol. 9, Núm. 6, pp. 13750-13769
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Globally certified G1 approximation of planar algebraic curves
Journal of Computational and Applied Mathematics, Vol. 436
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Sufficient conditions for the surjectivity of radical curve parametrizations
Journal of Algebra, Vol. 640, pp. 129-146
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Total positivity and least squares problems in the Lagrange basis
Numerical Linear Algebra with Applications
2023
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A new method to detect projective equivalences and symmetries of rational 3D curves
Journal of Computational and Applied Mathematics, Vol. 419
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A note about rational surfaces as unions of affine planes
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 117, Núm. 2
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Asymptotic Behavior of a Parametric Algebraic Surface
Contemporary Mathematics (Singapore), Vol. 4, Núm. 4, pp. 962-973
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Avoiding the General Position Condition When Computing the Topology of a Real Algebraic Plane Curve Defined Implicitly
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
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Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank
Journal of Computational and Applied Mathematics, Vol. 426
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Challenges and Opportunities in Machine Learning for Geometry
Mathematics, Vol. 11, Núm. 11
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Computing branches and asymptotes of meromorphic functions
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 117, Núm. 3
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Computing symmetries of implicit algebraic surfaces
Computer Aided Geometric Design, Vol. 104
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Computing the topology of the image of a parametric planar curve under a birational transformation
Computer Aided Geometric Design, Vol. 102
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Design and implementation of symbolic algorithms for the computation of generalized asymptotes
Annals of Mathematics and Artificial Intelligence, Vol. 91, Núm. 4, pp. 537-561
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Detecting and parametrizing polynomial surfaces without base points
Computer Aided Geometric Design, Vol. 107
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Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
Numerical Algorithms, Vol. 92, Núm. 1, pp. 665-692
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Some New Symbolic Algorithms for the Computation of Generalized Asymptotes
Symmetry, Vol. 15, Núm. 1
2022
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A simple formula for the computation of branches and asymptotes of curves and some applications
Computer Aided Geometric Design, Vol. 94