Differentiation Matrices for Univariate Polynomials
Amirhossein Amiraslani, Robert M. Corless, Madhusoodan, Gunasingham
TL;DR
This paper reviews elementary properties of differentiation matrices for univariate polynomials across various bases, including orthogonal, Bernstein, Lagrange, and Hermite bases, providing foundational insights.
Contribution
It compiles and analyzes properties of differentiation matrices for different polynomial bases, offering a comprehensive reference for further research and applications.
Findings
Properties of differentiation matrices are characterized for various polynomial bases.
The paper includes analysis of bases like Bernstein, Lagrange, and Hermite.
Provides foundational understanding for polynomial differentiation methods.
Abstract
We collect here elementary properties of differentiation matrices for univariate polynomials expressed in various bases, including orthogonal polynomial bases and non-degree-graded bases such as Bernstein bases and Lagrange \& Hermite interpolational bases.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.