64490 20190709135441.0 doi 10.1016/j.amc.2017.01.031 sideral 98119 ART-2017-98119 eng (orcid)0000-0003-2156-9856 Delgado, J. Universidad de Zaragoza Accurate computations with Lupas matrices 2017 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/MICINN/MTM2015-65433-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.3 2017 MATHEMATICS, APPLIED 21 / 252 = 0.083 2017 Q1 T1 1.065 2017 Computational Mathematics 2017 Q1 Applied Mathematics 2017 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion (orcid)0000-0002-1340-0666 Peña, J. M. Universidad de Zaragoza 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 303 (2017), 171-177 Appl. math. comput. Applied Mathematics and Computation 0096-3003 102497 http://zaguan.unizar.es/record/64490/files/texto_completo.pdf Preprint 68895 http://zaguan.unizar.es/record/64490/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:64490 articulos driver 2019-07-09-11:36:18 ARTICLE