000148441 001__ 148441 000148441 005__ 20250117162507.0 000148441 0247_ $$2doi$$a10.1007/s10915-019-00975-6 000148441 0248_ $$2sideral$$a112511 000148441 037__ $$aART-2019-112511 000148441 041__ $$aeng 000148441 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado, Jorge$$uUniversidad de Zaragoza 000148441 245__ $$aAccurate Algorithms for Bessel Matrices 000148441 260__ $$c2019 000148441 5060_ $$aAccess copy available to the general public$$fUnrestricted 000148441 5203_ $$aIn this paper, we prove that any collocation matrix of Bessel polynomials at positive points is strictly totally positive, that is, all its minors are positive. Moreover, an accurate method to construct the bidiagonal factorization of these matrices is obtained and used to compute with high relative accuracy the eigenvalues, singular values and inverses. Similar results for the collocation matrices for the reverse Bessel polynomials are also obtained. Numerical examples illustrating the theoretical results are included. © 2019, Springer Science+Business Media, LLC, part of Springer Nature. 000148441 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-17R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 000148441 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000148441 590__ $$a2.228$$b2019 000148441 591__ $$aMATHEMATICS, APPLIED$$b34 / 260 = 0.131$$c2019$$dQ1$$eT1 000148441 592__ $$a1.531$$b2019 000148441 593__ $$aApplied Mathematics$$c2019$$dQ1 000148441 593__ $$aComputational Mathematics$$c2019$$dQ1 000148441 593__ $$aComputational Theory and Mathematics$$c2019$$dQ1 000148441 593__ $$aTheoretical Computer Science$$c2019$$dQ1 000148441 593__ $$aNumerical Analysis$$c2019$$dQ1 000148441 593__ $$aSoftware$$c2019$$dQ1 000148441 593__ $$aEngineering (miscellaneous)$$c2019$$dQ1 000148441 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000148441 700__ $$0(orcid)0000-0002-4794-5875$$aOrera, Héctor$$uUniversidad de Zaragoza 000148441 700__ $$0(orcid)0000-0002-1340-0666$$aPeña, J.M.$$uUniversidad de Zaragoza 000148441 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000148441 773__ $$g80, 2 (2019), 1264–1278$$pJ. sci. comput.$$tJournal of Scientific Computing$$x0885-7474 000148441 8564_ $$s334746$$uhttps://zaguan.unizar.es/record/148441/files/texto_completo.pdf$$yPostprint 000148441 8564_ $$s968175$$uhttps://zaguan.unizar.es/record/148441/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000148441 909CO $$ooai:zaguan.unizar.es:148441$$particulos$$pdriver 000148441 951__ $$a2025-01-17-14:35:49 000148441 980__ $$aARTICLE