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).

Análisis de la representación de curvas y superficies, matrices estructuradas y aplicaciones. Ministerio de Educación Cultura y Deporte (MTM2012-31544).

Métodos numéricos en la aproximación de curvas y superficies, matrices positivas y aplicaciones. Ministerio de Economía y Competitividad (MTM2015-65433-P (MINECO/FEDER)).

· Publicaciones

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

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

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

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

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

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

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

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

S. Delvaux, A. Marco, J.J. Martínez, M. Van Barel. Fast computation of determinants of Bézout matrices and application to curve implicitization. Linear Algebra and its Applications 430, 27-33 (2009).

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

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

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

A. Marco, J.J. Martínez. Accurate computations with totally positive Bernstein-Vandermonde matrices. Electronic Journal of Linear algebra 26 (2013), 357-380.

A. Marco, J.J. Martínez. A total positivity property of the Marchenko-Pastur law. Electronic Journal of Linear algebra 30 (2015), 106-117.

A. Marco, J.J. Martínez. Ajuste polinómico por mínimos cuadrados usando la base de Bernstein. La Gaceta de la RSME 18 (2015), núm 1, 135-153.

A. Marco, J.J. Martínez. Bidiagonal decomposition of rectangular totally positive Said-Ball-Vandermonde matrices: error analysis, perturbation theory and applications. Linear Algebra and its Applications 495, 90-107 (2016).

A. Marco, J.J. Martínez, J.M: Peña. Accurate bidiagonal decomposition of totally positive Cauchy-Vandermonde matrices and applications. Linear Algebra and its Applications 517, 63-84 (2017).

A. Marco, J.J. Martínez, R. Viaña. Accurate polynomial interpolation by using the Bernstein basis. Numerical Algorithms 75 (2017), 665-674.