Jorge Delgado

Guillermo Peña

Appl. Math. Lett., November, 2023

High relative accuracy with some special matrices related to Γ and β functions.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., October, 2023

On the accuracy of de Casteljau-type algorithms and Bernstein representations.

[BibT_eX]

[DOI]

Esmeralda Mainar

Comput. Aided Geom. Des., October, 2023

An evaluation algorithm for q-Bézier triangular patches formed by convex combinations.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., August, 2023

Green Matrices, Minors and Hadamard Products.

[BibT_eX]

[DOI]

Guillermo Peña

Axioms, August, 2023

Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., July, 2023

2021

High relative accuracy with matrices of q-integers.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2021

Accurate bidiagonal decomposition and computations with generalized Pascal matrices.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2021

Optimal properties of tensor product of B-bases.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2021

2020

Extremal and optimal properties of B-bases collocation matrices.

[BibT_eX]

[DOI]

Numerische Mathematik, 2020

Estimation of missing prices in real-estate market agent-based simulations with machine learning and dimensionality reduction methods.

[BibT_eX]

[DOI]

Iván García-Magariño

Carlos Medrano

Neural Comput. Appl., 2020

2019

Accurate computations with Laguerre matrices.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2019

Accurate Algorithms for Bessel Matrices.

[BibT_eX]

[DOI]

J. Sci. Comput., 2019

2017

Accurate computations with Lupaş matrices.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2017

2016

Algorithm 960: POLYNOMIAL: An Object-Oriented Matlab Library of Fast and Efficient Algorithms for Polynomials.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2016

Accurate and fast computations with positive extended Schoenmakers-Coffey matrices.

[BibT_eX]

[DOI]

Guillermo Peña

Numer. Linear Algebra Appl., 2016

2015

Accurate Computations with Collocation Matrices of q-Bernstein Polynomials.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2015

Accurate evaluation of Bézier curves and surfaces and the Bernstein-Fourier algorithm.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

2014

Fast and accurate algorithms for Jacobi-Stirling matrices.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2014

2013

Conditioning and accurate computations with Pascal matrices.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2013

Accurate computations with collocation matrices of rational bases.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2013

On the evaluation of rational triangular Bézier surfaces and the optimal stability of the basis.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2013

2012

Optimality of Bernstein Representations for Computational Purposes.

[BibT_eX]

[DOI]

Reliab. Comput., 2012

A note on matrices with maximal growth factor for Neville elimination.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2012

Progressive iteration approximation and the geometric algorithm.

[BibT_eX]

[DOI]

Jesús M. Carnicer

Comput. Aided Des., 2012

2011

Running error for the evaluation of rational Bézier surfaces through a robust algorithm.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2011

Growth factors of pivoting strategies associated with Neville elimination.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2011

On the progressive iteration approximation property and alternative iterations.

[BibT_eX]

[DOI]

Jesús M. Carnicer

Comput. Aided Geom. Des., 2011

2010

Running error for the evaluation of rational Bézier surfaces.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

A collection of examples where Neville elimination outperforms Gaussian elimination.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2010

2009

Running Relative Error for the Evaluation of Polynomials.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2009

Optimal Conditioning of Bernstein Collocation Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

Computation of the eigenvalues of convexity preserving matrices.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2009

2008

A Comparison of Different Progressive Iteration Approximation Methods.

[BibT_eX]

[DOI]

Proceedings of the Mathematical Methods for Curves and Surfaces, 2008

Mean Distance from a Curve to Its Control Polygon.

[BibT_eX]

[DOI]

Jesús M. Carnicer

Proceedings of the Mathematical Methods for Curves and Surfaces, 2008

2007

A Corner Cutting Algorithm for Evaluating Rational B[e-acute]zier Surfaces and the Optimal Stability of the Basis.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2007

Are rational Bézier surfaces monotonicity preserving?

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2007

Progressive iterative approximation and bases with the fastest convergence rates.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2007

2006

On the generalized Ball bases.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2006

2005

Corner cutting systems.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2005

2003

A shape preserving representation with an evaluation algorithm of linear complexity.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2003

A Linear Complexity Algorithm for the Bernstein Basis.

[BibT_eX]

[DOI]

Proceedings of the 2003 International Conference on Geometric Modeling and Graphics, 2003

2002

Monotonicity Preservation of Some Polynomial and Rational Representations.

[BibT_eX]

[DOI]