Optimally stable multivariate bases
For spaces of multivariate polynomials and multivariate splines, bases of triangular Bernstein polynomials and tensor product B-splines are most useful due to a variety of their properties. Among those, the nonnegativity or even a partition of unity property are important. In this paper, their numerical stability/conditioning is shown to be optimal as a new important aspect.
scientific article; zbMATH DE number 2057587