Optimal properties of tensor product of B-bases

Delgado Gracia, J (Universidad de Zaragoza) ; Orera, H (Universidad de Zaragoza) ; Peña Ferrández, JM (Universidad de Zaragoza)

Resumen: It 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.

Idioma: Inglés

DOI: 10.1016/j.aml.2021.107473

Año: 2021

Publicado en: APPLIED MATHEMATICS LETTERS 121 (2021), 107473
ISSN: 0893-9659

Factor impacto JCR: 4.294 (2021)

Categ. JCR: MATHEMATICS, APPLIED rank: 8 / 267 = 0.03 (2021) - Q1 - T1

Factor impacto CITESCORE: 7.1 - Mathematics (Q1)

Factor impacto SCIMAGO: 1.362 - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-17R
Financiación: info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00

Tipo y forma: Artículo (PrePrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)