Investigación

· Proyectos de investigación

Métodos numéricos en la representación aproximada de curvas y superficies. Ministerio de Ciencia y Tecnología (BFM 2000-1253).

Análisis de la representación de curvas y superficies y su error numérico. Ministerio de Ciencia y Tecnología (BFM 2003-03510) .

Análisis de la representación de curvas y superficies, matrices estructuradas y error numérico. Ministerio de Educación y Ciencia (MTM 2006-03388).

Métodos numéricos en la representación de curvas y superficies, matrices estructuradas y aplicaciones. Ministerio de Ciencia e Innovación (MTM 2009-07315).

· Publicaciones

Marco A., Martinez, J.J. Using polynomial interpolation for implicitizing algebraic curves. Computer Aided Geometric Design 18, 309-319 (2001).

Marco A., Martinez, J.J. Implicitization of rational surfaces by means of polynomial interpolation. Computer Aided Geometric Design 19, 327-344 (2002).

Marco A., Martinez, J.J. Parallel computation of determinants of matrices with polynomial entries. Journal of Symbolic Computation 37, 749-760 (2004).

Marco A., Martinez, J.J. A new source of structured singular value decomposition problems. Electronic Transactions on Numerical Analysis 18, 188-197 (2004).

Bini D. A., Marco, A. Computing curve intersection by means of simultaneous iteration. Numerical Algorithms 43, 151-175 (2006).

Marco A., Martinez, J.J. Structured matrices in the application of bivariate interpolation to curve implicitization. Mathematics and Computers in Simulation 73, 378-385 (2007).

Marco A., Martinez, J.J. A fast and accurate algorithm for solving Bernstein-Vandermonde linear systems. Linear Algebra and its Applications 422, 616-628 (2007).

Marco A., Martinez, J.J. Bernstein-Bezoutian matrices and curve implicitization. Theoretical Computer Science 377, 65-72 (2007).

Marco A., Martinez, J.J. Fast computation of determinants of Bézout matrices and application to curve implicitization. Linear Algebra and its Applications 430, 27-33 (2009).

Marco A., Martinez, J.J. Unique solvability in bivariate Hermite interpolation. Electronic Transactions on Numerical Analysis 34, 20-30 (2009).

Marco A., Martinez, J.J. Accurate computations with Said-Ball-Vandermonde matrices. Linear Algebra and its Applications 432, 2894-2908 (2010).

Marco A., Martinez, J.J. Polynomial least squares fitting in the Bernstein basis. Linear Algebra and its Applications 433, 1254-1264 (2010).