Optimal properties of tensor product of B-bases
arXiv:2501.11365 · doi:10.1016/j.aml.2021.107473
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.