High Relative Accuracy for Corner Cutting Algorithms

Ballarín, Jorge (Universidad de Zaragoza) ; Delgado, Jorge (Universidad de Zaragoza) ; Peña, Juan Manuel (Universidad de Zaragoza)

Resumen: Corner cutting algorithms are important in computer-aided geometric design and they are associated to stochastic non-singular totally positive matrices. Non-singular totally positive matrices admit a bidiagonal decomposition. For many important examples, this factorization can be obtained with high relative accuracy. From this factorization, a corner cutting algorithm can be obtained with high relative accuracy. Illustrative examples are included.

Idioma: Inglés

DOI: 10.3390/axioms14040248

Año: 2025

Publicado en: Axioms 14, 4 (2025), 248 [13 pp.]
ISSN: 2075-1680

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-23R
Financiación: info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00
Financiación: info:eu-repo/grantAgreement/ES/MICINN/RED2022-134176-T

Tipo y forma: Article (Published version)

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