128029 20241125101152.0 doi 10.1007/s10915-023-02323-1 sideral 135176 ART-2023-135176 eng Díaz, P. Universidad de Zaragoza Polynomial Total Positivity and High Relative Accuracy Through Schur Polynomials 2023 Access copy available to the general public Unrestricted In this paper, Schur polynomials are used to provide a bidiagonal decomposition of polynomial collocation matrices. The symmetry of Schur polynomials is exploited to analyze the total positivity on some unbounded intervals of a relevant class of polynomial bases. The proposed factorization is used to achieve relative errors of the order of the unit round-off when solving algebraic problems involving the collocation matrix of relevant polynomial bases, such as the Hermite basis. The numerical experimentation illustrates the accurate results obtained when using the findings of the paper. info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.8 2023 MATHEMATICS, APPLIED 22 / 332 = 0.066 2023 Q1 T1 1.248 2023 Applied Mathematics 2023 Q1 Engineering (miscellaneous) 2023 Q1 Computational Mathematics 2023 Q1 Theoretical Computer Science 2023 Q1 Numerical Analysis 2023 Q1 Software 2023 Q1 Computational Theory and Mathematics 2023 Q1 4.0 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mainar, E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 Rubio, B. Universidad de Zaragoza (orcid)0000-0001-9130-0794 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 97, 10 (2023), [27 pp.] J. sci. comput. Journal of Scientific Computing 0885-7474 484749 http://zaguan.unizar.es/record/128029/files/texto_completo.pdf Versión publicada 1168759 http://zaguan.unizar.es/record/128029/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:128029 articulos driver 2024-11-22-12:07:35 ARTICLE