3 papers
math.CA2022
Change of Basis from Bernstein to Zernike
D. A. Wolfram
We increase the scope of previous work on change of basis between finite bases of polynomials by defining ascending and descending bases and introducing three techniques for defini…
math.CA2021
Change of Basis between Classical Orthogonal Polynomials
D. A. Wolfram
Classical orthogonal polynomials have widespread applications including in numerical integration, solving differential equations, and interpolation. Changing basis between classica…
math.RA2021
The Change of Basis Groupoid
D. A. Wolfram
We show that the change of basis matrices of a set of bases of a finite vector space is a connected groupoid of order . We define a general method to express the elements…