On the total positivity of q-Bernstein mass matrices and their accurate computations

Mainar, E. (Universidad de Zaragoza) ; Peña, J.M. (Universidad de Zaragoza) ; Rubio, B. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.cam.2024.116034

Año: 2024

Publicado en: Journal of Computational and Applied Mathematics 451, 15 pp. (2024), 116034
ISSN: 0377-0427

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)