130780 20240131210811.0 doi 10.1002/nla.2295 sideral 117408 ART-2020-117408 eng Mainar, Esmeralda Universidad de Zaragoza (orcid)0000-0002-1101-6230 Accurate bidiagonal decomposition of collocation matrices of weighted ¿-transformed systems 2020 Given a system of functions, we introduce the concept of weighted f-transformed system, which will include a very large class of useful representations in Statistics and Computer Aided Geometric Design. An accurate bidiagonal decomposition of the collocation matrices of these systems is obtained. This decomposition is used to present computational methods with high relative accuracy for solving algebraic problems with collocation matrices of weighted f-transformed systems such as the computation of eigenvalues, singular values, and the solution of some linear systems. Numerical examples illustrate the accuracy of the performed computations. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E41-17R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.109 2020 MATHEMATICS 33 / 330 = 0.1 2020 Q1 T1 MATHEMATICS, APPLIED 67 / 265 = 0.253 2020 Q2 T1 1.02 2020 Applied Mathematics 2020 Q1 Algebra and Number Theory 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Peña, Juan Manuel Universidad de Zaragoza (orcid)0000-0002-1340-0666 Rubio, Beatriz Universidad de Zaragoza (orcid)0000-0001-9130-0794 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 27, 3 (2020), e2295 [16 pp.] Numer. linear algebra appl. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1070-5325 598248 http://zaguan.unizar.es/record/130780/files/texto_completo.pdf Postprint 1517539 http://zaguan.unizar.es/record/130780/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130780 articulos driver 2024-01-31-19:20:21 ARTICLE