153629 20251017144554.0 doi 10.1007/s00605-020-01383-x sideral 116822 ART-2020-116822 eng Carnicer, J. M. Universidad de Zaragoza (orcid)0000-0003-4359-1499 Radon’s construction and matrix relations generating syzygies 2020 Let ¿n be the set of bivariate polynomials of degree not greater than n. A ¿n-correct set of nodes is a set such that the Lagrange interpolation problem with respect to these nodes has a unique solution. A maximal line of a ¿n-correct set is any line containing exactly n+ 1 nodes. Syzygy matrices can be used to find linear factors of the fundamental polynomials and detect maximal lines. We suggest to use matrix relations in order to generate syzygies, identify linear factors of fundamental polynomials and detect maximal lines. We interpret our results in the important case of GC sets trying to shed some light on the Gasca-Maeztu conjecture. info:eu-repo/grantAgreement/ES/DGA-FEDER/E41-17R info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 info:eu-repo/semantics/closedAccess by https://creativecommons.org/licenses/by/4.0/deed.es 0.808 2020 MATHEMATICS 211 / 330 = 0.639 2020 Q3 T2 0.718 2020 Mathematics (miscellaneous) 2020 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Godés, C. Universidad de Zaragoza (orcid)0000-0002-3564-5664 Sauer, T. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 192 (2020), 311–332 Mon.hefte Math. MONATSHEFTE FUR MATHEMATIK 0026-9255 371650 http://zaguan.unizar.es/record/153629/files/texto_completo.pdf Versión publicada 982175 http://zaguan.unizar.es/record/153629/files/texto_completo.jpg?subformat=icon icon Versión publicada https://www.scopus.com/inward/record.uri?eid=2-s2.0-85079415807&doi=10.1007%2fs00605-020-01383-x&partnerID=40&md5=b82573e7af1c1af56e632079784db090 Texto completo de la revista oai:zaguan.unizar.es:153629 articulos driver 2025-10-17-14:12:33 ARTICLE