3 papers
math.NA2021
Bounds-constrained polynomial approximation using the Bernstein basis
Larry Allen, Robert C. Kirby
A fundamental problem in numerical analysis and approximation theory is approximating smooth functions by polynomials. A much harder version under recent consideration is to enforc…
math.NA2020
Structured inversion of the Bernstein-Vandermonde Matrix
Larry Allen, Robert C. Kirby
Bernstein polynomials, long a staple of approximation theory and computational geometry, have also increasingly become of interest in finite element methods. Many fundamental probl…
math.NA2019
Structured inversion of the Bernstein mass matrix
Larray Allen, Robert C. Kirby
Bernstein polynomials, long a staple of approximation theory and computational geometry, have also increasingly become of interest in finite element methods. Many fundamental probl…