000148455 001__ 148455 000148455 005__ 20250117162507.0 000148455 0247_ $$2doi$$a10.1016/j.aml.2021.107473 000148455 0248_ $$2sideral$$a125720 000148455 037__ $$aART-2021-125720 000148455 041__ $$aeng 000148455 100__ $$0(orcid)0000-0003-2156-9856$$aDelgado Gracia, J$$uUniversidad de Zaragoza 000148455 245__ $$aOptimal properties of tensor product of B-bases 000148455 260__ $$c2021 000148455 5060_ $$aAccess copy available to the general public$$fUnrestricted 000148455 5203_ $$aIt is proved the optimal conditioning for the infinity-norm of collocation matrices of the tensor product of normalized B-bases among the tensor product of all normalized totally positive bases of the corresponding space of functions. Bounds for the minimal eigenvalue and singular value and illustrative numerical examples are also included. (C) 2021 Elsevier Ltd. All rights reserved. 000148455 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-17R$$9info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00 000148455 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000148455 590__ $$a4.294$$b2021 000148455 591__ $$aMATHEMATICS, APPLIED$$b8 / 267 = 0.03$$c2021$$dQ1$$eT1 000148455 592__ $$a1.362$$b2021 000148455 593__ $$aApplied Mathematics$$c2021$$dQ1 000148455 594__ $$a7.1$$b2021 000148455 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion 000148455 700__ $$0(orcid)0000-0002-4794-5875$$aOrera, H$$uUniversidad de Zaragoza 000148455 700__ $$0(orcid)0000-0002-1340-0666$$aPeña Ferrández, JM$$uUniversidad de Zaragoza 000148455 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000148455 773__ $$g121 (2021), 107473$$pAppl. math. lett.$$tAPPLIED MATHEMATICS LETTERS$$x0893-9659 000148455 8564_ $$s261264$$uhttps://zaguan.unizar.es/record/148455/files/texto_completo.pdf$$yPreprint 000148455 8564_ $$s489755$$uhttps://zaguan.unizar.es/record/148455/files/texto_completo.jpg?subformat=icon$$xicon$$yPreprint 000148455 909CO $$ooai:zaguan.unizar.es:148455$$particulos$$pdriver 000148455 951__ $$a2025-01-17-14:36:07 000148455 980__ $$aARTICLE