145522 20260217205519.0 doi 10.3390/axioms13090589 sideral 140406 ART-2024-140406 eng Díaz, Pablo Universidad de Zaragoza Totally positive Wronskian matrices and symmetric functions 2024 Access copy available to the general public Unrestricted The elements of the bidiagonal decomposition (BD) of a totally positive (TP) collocation matrix can be expressed in terms of symmetric functions of the nodes. Making use of this result, and studying the relation between Wronskian and collocation matrices of a given TP basis of functions, we can express the entries of the BD of Wronskian matrices as the values of certain symmetric functions evaluated at a single node. Moreover, in the case of polynomial bases, we obtain compact formulae for the entries of the BD of their Wronskian matrices. Interesting examples illustrate the applications of the obtained formulae. info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00 info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 1.6 2024 MATHEMATICS, APPLIED 98 / 344 = 0.285 2024 Q2 T1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mainar, Esmeralda Universidad de Zaragoza (orcid)0000-0002-1101-6230 Rubio, Beatriz Universidad de Zaragoza (orcid)0000-0001-9130-0794 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 13, 9 (2024), 589 [14 pp.] Axioms Axioms 2075-1680 274132 http://zaguan.unizar.es/record/145522/files/texto_completo.pdf Versión publicada 2384247 http://zaguan.unizar.es/record/145522/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:145522 articulos driver 2026-02-17-20:28:07 ARTICLE