148441 20250117162507.0 doi 10.1007/s10915-019-00975-6 sideral 112511 ART-2019-112511 eng Delgado, Jorge Universidad de Zaragoza (orcid)0000-0003-2156-9856 Accurate Algorithms for Bessel Matrices 2019 In 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. 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/ 2.228 2019 MATHEMATICS, APPLIED 34 / 260 = 0.131 2019 Q1 T1 1.531 2019 Applied Mathematics 2019 Q1 Computational Mathematics 2019 Q1 Computational Theory and Mathematics 2019 Q1 Theoretical Computer Science 2019 Q1 Numerical Analysis 2019 Q1 Software 2019 Q1 Engineering (miscellaneous) 2019 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Orera, Héctor Universidad de Zaragoza (orcid)0000-0002-4794-5875 Peña, J.M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 80, 2 (2019), 1264–1278 J. sci. comput. Journal of Scientific Computing 0885-7474 334746 http://zaguan.unizar.es/record/148441/files/texto_completo.pdf Postprint 968175 http://zaguan.unizar.es/record/148441/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:148441 articulos driver 2025-01-17-14:35:49 ARTICLE