000153629 001__ 153629 000153629 005__ 20251017144554.0 000153629 0247_ $$2doi$$a10.1007/s00605-020-01383-x 000153629 0248_ $$2sideral$$a116822 000153629 037__ $$aART-2020-116822 000153629 041__ $$aeng 000153629 100__ $$0(orcid)0000-0003-4359-1499$$aCarnicer, J. M.$$uUniversidad de Zaragoza 000153629 245__ $$aRadon’s construction and matrix relations generating syzygies 000153629 260__ $$c2020 000153629 5203_ $$aLet ¿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. 000153629 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/E41-17R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 000153629 540__ $$9info:eu-repo/semantics/closedAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000153629 590__ $$a0.808$$b2020 000153629 591__ $$aMATHEMATICS$$b211 / 330 = 0.639$$c2020$$dQ3$$eT2 000153629 592__ $$a0.718$$b2020 000153629 593__ $$aMathematics (miscellaneous)$$c2020$$dQ2 000153629 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000153629 700__ $$0(orcid)0000-0002-3564-5664$$aGodés, C.$$uUniversidad de Zaragoza 000153629 700__ $$aSauer, T. 000153629 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000153629 773__ $$g192 (2020), 311–332$$pMon.hefte Math.$$tMONATSHEFTE FUR MATHEMATIK$$x0026-9255 000153629 85641 $$uhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85079415807&doi=10.1007%2fs00605-020-01383-x&partnerID=40&md5=b82573e7af1c1af56e632079784db090$$zTexto completo de la revista 000153629 8564_ $$s371650$$uhttps://zaguan.unizar.es/record/153629/files/texto_completo.pdf$$yVersión publicada 000153629 8564_ $$s982175$$uhttps://zaguan.unizar.es/record/153629/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000153629 909CO $$ooai:zaguan.unizar.es:153629$$particulos$$pdriver 000153629 951__ $$a2025-10-17-14:12:33 000153629 980__ $$aARTICLE