118068 20230519145557.0 doi 10.1007/s10915-021-01500-4 sideral 126595 ART-2021-126595 eng Mainar E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 Accurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials 2021 Access copy available to the general public Unrestricted In 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. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.843 2021 MATHEMATICS, APPLIED 38 / 267 = 0.142 2021 Q1 T1 1.326 2021 Applied Mathematics 2021 Q1 Engineering (miscellaneous) 2021 Q1 Software 2021 Q1 Numerical Analysis 2021 Q1 Computational Mathematics 2021 Q1 4.3 2021 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion Peña J.M. Universidad de Zaragoza (orcid)0000-0002-1340-0666 Rubio B. Universidad de Zaragoza (orcid)0000-0001-9130-0794 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 87, 3 (2021), 77 [30 pp] J. sci. comput. Journal of Scientific Computing 0885-7474 189517 http://zaguan.unizar.es/record/118068/files/texto_completo.pdf Preprint 1242607 http://zaguan.unizar.es/record/118068/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:118068 articulos driver 2023-05-18-15:56:53 ARTICLE