Total positivity and accurate computations with Gram matrices of Bernstein bases

Mainar, E. (Universidad de Zaragoza) ; Peña, J. M. (Universidad de Zaragoza) ; Rubio, B. (Universidad de Zaragoza)

Resumen: In this paper, an accurate method to construct the bidiagonal factorization of Gram (mass) matrices of Bernstein bases of positive and negative degree is obtained and used to compute with high relative accuracy their eigenvalues, singular values and inverses. Numerical examples are included.

Idioma: Inglés

DOI: 10.1007/s11075-022-01284-0

Año: 2022

Publicado en: NUMERICAL ALGORITHMS 91 (2022), 841–859
ISSN: 1017-1398

Factor impacto JCR: 2.1 (2022)

Categ. JCR: MATHEMATICS, APPLIED rank: 59 / 267 = 0.221 (2022) - Q1 - T1

Factor impacto CITESCORE: 4.4 - Mathematics (Q1)

Factor impacto SCIMAGO: 0.828 - Applied Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-20R
Financiación: info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00

Tipo y forma: Article (Published version)

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