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000118068 0247_ $$2doi$$a10.1007/s10915-021-01500-4
000118068 0248_ $$2sideral$$a126595
000118068 037__ $$aART-2021-126595
000118068 041__ $$aeng
000118068 100__ $$0(orcid)0000-0002-1101-6230$$aMainar E.$$uUniversidad de Zaragoza
000118068 245__ $$aAccurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials
000118068 260__ $$c2021
000118068 5060_ $$aAccess copy available to the general public$$fUnrestricted
000118068 5203_ $$aIn this paper an accurate method to construct the bidiagonal factorization of collocation and Wronskian matrices of Jacobi polynomials is obtained and used to compute with high relative accuracy their eigenvalues, singular values and inverses. The particular cases of collocation and Wronskian matrices of Legendre polynomials, Gegenbauer polynomials, Chebyshev polynomials of the first and second kind and rational Jacobi polynomials are considered. Numerical examples are included. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
000118068 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000118068 594__ $$a4.3$$b2021
000118068 590__ $$a2.843$$b2021
000118068 592__ $$a1.326$$b2021
000118068 591__ $$aMATHEMATICS, APPLIED$$b38 / 267 = 0.142$$c2021$$dQ1$$eT1
000118068 593__ $$aApplied Mathematics$$c2021$$dQ1
000118068 593__ $$aEngineering (miscellaneous)$$c2021$$dQ1
000118068 593__ $$aSoftware$$c2021$$dQ1
000118068 593__ $$aNumerical Analysis$$c2021$$dQ1
000118068 593__ $$aComputational Mathematics$$c2021$$dQ1
000118068 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion
000118068 700__ $$0(orcid)0000-0002-1340-0666$$aPeña J.M.$$uUniversidad de Zaragoza
000118068 700__ $$0(orcid)0000-0001-9130-0794$$aRubio B.$$uUniversidad de Zaragoza
000118068 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000118068 773__ $$g87, 3 (2021), 77 [30 pp]$$pJ. sci. comput.$$tJournal of Scientific Computing$$x0885-7474
000118068 8564_ $$s189517$$uhttps://zaguan.unizar.es/record/118068/files/texto_completo.pdf$$yPreprint
000118068 8564_ $$s1242607$$uhttps://zaguan.unizar.es/record/118068/files/texto_completo.jpg?subformat=icon$$xicon$$yPreprint
000118068 909CO $$ooai:zaguan.unizar.es:118068$$particulos$$pdriver
000118068 951__ $$a2023-05-18-15:56:53
000118068 980__ $$aARTICLE