000130780 001__ 130780
000130780 005__ 20240131210811.0
000130780 0247_ $$2doi$$a10.1002/nla.2295
000130780 0248_ $$2sideral$$a117408
000130780 037__ $$aART-2020-117408
000130780 041__ $$aeng
000130780 100__ $$0(orcid)0000-0002-1101-6230$$aMainar, Esmeralda$$uUniversidad de Zaragoza
000130780 245__ $$aAccurate bidiagonal decomposition of collocation matrices of weighted ¿-transformed systems
000130780 260__ $$c2020
000130780 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130780 5203_ $$aGiven 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.
000130780 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-17R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00
000130780 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000130780 590__ $$a2.109$$b2020
000130780 591__ $$aMATHEMATICS$$b33 / 330 = 0.1$$c2020$$dQ1$$eT1
000130780 591__ $$aMATHEMATICS, APPLIED$$b67 / 265 = 0.253$$c2020$$dQ2$$eT1
000130780 592__ $$a1.02$$b2020
000130780 593__ $$aApplied Mathematics$$c2020$$dQ1
000130780 593__ $$aAlgebra and Number Theory$$c2020$$dQ1
000130780 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000130780 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, Juan Manuel$$uUniversidad de Zaragoza
000130780 700__ $$0(orcid)0000-0001-9130-0794$$aRubio, Beatriz$$uUniversidad de Zaragoza
000130780 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000130780 773__ $$g27, 3 (2020), e2295 [16 pp.]$$pNumer. linear algebra appl.$$tNUMERICAL LINEAR ALGEBRA WITH APPLICATIONS$$x1070-5325
000130780 8564_ $$s598248$$uhttps://zaguan.unizar.es/record/130780/files/texto_completo.pdf$$yPostprint
000130780 8564_ $$s1517539$$uhttps://zaguan.unizar.es/record/130780/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000130780 909CO $$ooai:zaguan.unizar.es:130780$$particulos$$pdriver
000130780 951__ $$a2024-01-31-19:20:21
000130780 980__ $$aARTICLE