doi:10.1016/j.cam.2024.116034engMainar, E.Peña, J.M.Rubio, B.On the total positivity of q-Bernstein mass matrices and their accurate computationsART-2024-138844In 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.2024http://zaguan.unizar.es/record/13582910.1016/j.cam.2024.116034http://zaguan.unizar.es/record/135829oai:zaguan.unizar.es:135829Journal of Computational and Applied Mathematics 451, 15 pp. (2024), 116034by-nc-ndhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.esinfo:eu-repo/semantics/openAccess