135829 20260217205544.0 doi 10.1016/j.cam.2024.116034 sideral 138844 ART-2024-138844 eng Mainar, E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 On the total positivity of q-Bernstein mass matrices and their accurate computations 2024 Access copy available to the general public Unrestricted In this paper the total positivity of the Gramian (mass) matrices of q-Bernstein bases is analyzed. Furthermore, we provide an efficient method to obtain a bidiagonal decomposition of these mass matrices allowing us to calculate their singular values and inverses to high relative accuracy. Numerical examples are provided to illustrate the high accuracy of the performed computations using the proposed decompositions. info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 2.6 2024 MATHEMATICS, APPLIED 35 / 344 = 0.102 2024 Q1 T1 0.688 2024 Computational Mathematics 2024 Q2 Applied Mathematics 2024 Q2 4.8 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peña, J.M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 Rubio, B. Universidad de Zaragoza (orcid)0000-0001-9130-0794 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 451, 15 pp. (2024), 116034 J. comput. appl. math. Journal of Computational and Applied Mathematics 0377-0427 1445100 http://zaguan.unizar.es/record/135829/files/texto_completo.pdf Versión publicada 1790852 http://zaguan.unizar.es/record/135829/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:135829 articulos driver 2026-02-17-20:37:42 ARTICLE