000121077 001__ 121077
000121077 005__ 20240319080950.0
000121077 0247_ $$2doi$$a10.1002/nla.2423
000121077 0248_ $$2sideral$$a126927
000121077 037__ $$aART-2022-126927
000121077 041__ $$aeng
000121077 100__ $$0(orcid)0000-0002-1101-6230$$aMainar, Esmeralda$$uUniversidad de Zaragoza
000121077 245__ $$aAccurate and efficient computations with Wronskian matrices of Bernstein and related bases
000121077 260__ $$c2022
000121077 5060_ $$aAccess copy available to the general public$$fUnrestricted
000121077 5203_ $$aIn this article, we provide a bidiagonal decomposition of the Wronskian matrices of Bernstein bases of polynomials and other related bases such as the Bernstein basis of negative degree or the negative binomial basis. The mentioned bidiagonal decompositions are used to achieve algebraic computations with high relative accuracy for these Wronskian matrices. The numerical experiments illustrate the accuracy obtained using the proposed decomposition when computing inverse matrices, eigenvalues or singular values, and the solution of some related linear systems. © 2021 John Wiley & Sons Ltd.
000121077 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-20R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00
000121077 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000121077 590__ $$a4.3$$b2022
000121077 591__ $$aMATHEMATICS, APPLIED$$b6 / 267 = 0.022$$c2022$$dQ1$$eT1
000121077 591__ $$aMATHEMATICS$$b4 / 329 = 0.012$$c2022$$dQ1$$eT1
000121077 594__ $$a3.4$$b2022
000121077 592__ $$a0.913$$b2022
000121077 593__ $$aApplied Mathematics$$c2022$$dQ1
000121077 593__ $$aAlgebra and Number Theory$$c2022$$dQ1
000121077 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000121077 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, Juan M.$$uUniversidad de Zaragoza
000121077 700__ $$0(orcid)0000-0001-9130-0794$$aRubio, Beatriz$$uUniversidad de Zaragoza
000121077 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000121077 773__ $$g29, 3 (2022), e2423 [18 pp.]$$pNumer. linear algebra appl.$$tNUMERICAL LINEAR ALGEBRA WITH APPLICATIONS$$x1070-5325
000121077 8564_ $$s582677$$uhttps://zaguan.unizar.es/record/121077/files/texto_completo.pdf$$yPostprint
000121077 8564_ $$s1489844$$uhttps://zaguan.unizar.es/record/121077/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000121077 909CO $$ooai:zaguan.unizar.es:121077$$particulos$$pdriver
000121077 951__ $$a2024-03-18-12:58:53
000121077 980__ $$aARTICLE