Accurate computations with Lupas matrices

Delgado, J. (Universidad de Zaragoza) ; Peña, J. M. (Universidad de Zaragoza)

Resumen: Lupas q-analogues of the Bernstein functions play an important role in Approximation Theory and Computer Aided Geometric Design. Their collocation matrices are called Lupas matrices. In this paper, we provide algorithms for computing the bidiagonal decomposition of these matrices and their inverses to high relative accuracy. It is also shown that these algorithms can be used to perform to high relative accuracy several algebraic calculations with these matrices, such as the calculation of their inverses, their eigenvalues or their singular values. Numerical experiments are included.

Idioma: Inglés

DOI: 10.1016/j.amc.2017.01.031

Año: 2017

Publicado en: Applied Mathematics and Computation 303 (2017), 171-177
ISSN: 0096-3003

Factor impacto JCR: 2.3 (2017)

Categ. JCR: MATHEMATICS, APPLIED rank: 21 / 252 = 0.083 (2017) - Q1 - T1

Factor impacto SCIMAGO: 1.065 - Computational Mathematics (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2015-65433-P

Tipo y forma: Article (PrePrint)

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