Work

High Relative Accuracy for Corner Cutting Algorithms

Year: 2025

Type: article

Abstract: 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.

Source: Axioms

DOI: 10.3390/axioms14040248

Authors: Jorge Ballarín, Jorge Delgado, Juan Manuel Peña

Institutions: Universidad de Zaragoza, Instituto Universitario de Matemáticas y Aplicaciones

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funders: Gobierno de Aragón, Agencia Estatal de Investigación