Publications (31) Ana Marco García publications

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2024

  1. Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications

    Numerical Linear Algebra with Applications, Vol. 31, Núm. 1

  2. Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank

    Numerical Linear Algebra with Applications, Vol. 31, Núm. 6

  3. Total positivity and least squares problems in the Lagrange basis

    Numerical Linear Algebra with Applications, Vol. 31, Núm. 4

2023

  1. Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank

    Journal of Computational and Applied Mathematics, Vol. 426

2022

  1. ACCURATE COMPUTATIONS WITH TOTALLY POSITIVE MATRICES APPLIED TO THE COMPUTATION OF GAUSSIAN QUADRATURE FORMULAE∗

    Electronic Journal of Linear Algebra, Vol. 38, pp. 777-791

  2. Accurate computations with collocation matrices of the Lupaş-type (p,q)-analogue of the Bernstein basis

    Linear Algebra and Its Applications, Vol. 651, pp. 312-331

2021

  1. Error analysis, perturbation theory and applications of the bidiagonal decomposition of rectangular totally positive h-Bernstein-Vandermonde matrices

    Linear Algebra and Its Applications, Vol. 613, pp. 377-392

2019

  1. Accurate bidiagonal decomposition of totally positive h-Bernstein-Vandermonde matrices and applications

    Linear Algebra and Its Applications, Vol. 579, pp. 320-335

  2. Accurate computation of the Moore–Penrose inverse of strictly totally positive matrices

    Journal of Computational and Applied Mathematics, Vol. 350, pp. 299-308

  3. Least squares problems involving generalized Kronecker products and application to bivariate polynomial regression

    Numerical Algorithms, Vol. 82, Núm. 1, pp. 21-39

2017

  1. Accurate bidiagonal decomposition of totally positive Cauchy–Vandermonde matrices and applications

    Linear Algebra and Its Applications, Vol. 517, pp. 63-84

  2. Accurate polynomial interpolation by using the Bernstein basis

    Numerical Algorithms, Vol. 75, Núm. 3, pp. 655-674

2016

  1. Bidiagonal decomposition of rectangular totally positive Said-Ball-Vandermonde matrices: Error analysis, perturbation theory and applications

    Linear Algebra and Its Applications, Vol. 495, pp. 90-107

2015

  1. A total positivity property of the Marchenko-Pastur law

    Electronic Journal of Linear Algebra, Vol. 30, pp. 106-117

  2. Ajuste polinómico por mínimos cuadrados usando la base de Bernstein

    Gaceta de la Real Sociedad Matematica Española, Vol. 18, Núm. 1, pp. 135-153

  3. Polynomial least squares fitting by using the Bernstein basis

    Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics

2013

  1. Accurate computations with totally positive Bernstein-Vandermonde matrices

    Electronic Journal of Linear Algebra, Vol. 26, pp. 357-380

2010

  1. Accurate computations with Said-Ball-Vandermonde matrices

    Linear Algebra and Its Applications, Vol. 432, Núm. 11, pp. 2894-2908

  2. Polynomial least squares fitting in the Bernstein basis

    Linear Algebra and Its Applications, Vol. 433, Núm. 7, pp. 1254-1264

2009

  1. Fast computation of determinants of Bézout matrices and application to curve implicitization

    Linear Algebra and Its Applications, Vol. 430, Núm. 1, pp. 27-33