Optimal properties of tensor product of B-bases
Numerical Analysis
2025-01-22 v1 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2501.11365,
title = {Optimal properties of tensor product of B-bases},
author = {Jorge Delgado and Héctor Orera and Juan Manuel Peña},
journal= {arXiv preprint arXiv:2501.11365},
year = {2025}
}