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Accurate and efficient computations with Wronskian matrices of Bernstein and related bases
Mainar, Esmeralda
(Universidad de Zaragoza)
;
Peña, Juan M.
(Universidad de Zaragoza)
;
Rubio, Beatriz
(Universidad de Zaragoza)
Resumen:
In this article, we provide a bidiagonal decomposition of the Wronskian matrices of Bernstein bases of polynomials and other related bases such as the Bernstein basis of negative degree or the negative binomial basis. The mentioned bidiagonal decompositions are used to achieve algebraic computations with high relative accuracy for these Wronskian matrices. The numerical experiments illustrate the accuracy obtained using the proposed decomposition when computing inverse matrices, eigenvalues or singular values, and the solution of some related linear systems. © 2021 John Wiley & Sons Ltd.
Idioma:
Inglés
DOI:
10.1002/nla.2423
Año:
2022
Publicado en:
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
29, 3 (2022), e2423 [18 pp.]
ISSN:
1070-5325
Factor impacto JCR:
4.3 (2022)
Categ. JCR:
MATHEMATICS, APPLIED
rank: 6 / 267 = 0.022
(2022)
- Q1
- T1
Categ. JCR:
MATHEMATICS
rank: 4 / 329 = 0.012
(2022)
- Q1
- T1
Factor impacto CITESCORE:
3.4 -
Mathematics
(Q2)
Factor impacto SCIMAGO:
0.913 -
Applied Mathematics
(Q1) -
Algebra and Number Theory
(Q1)
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 (PostPrint)
Área (Departamento):
Área Matemática Aplicada
(
Dpto. Matemática Aplicada
)
All rights reserved by journal editor
Exportado de SIDERAL (2024-03-18-12:58:53)
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Record created 2023-01-11, last modified 2024-03-19
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