{ "id": "1809.05769", "version": "v1", "published": "2018-09-15T20:57:58.000Z", "updated": "2018-09-15T20:57:58.000Z", "title": "Differentiation Matrices for Univariate Polynomials", "authors": [ "Amirhossein Amiraslani", "Robert M. Corless", "Madhusoodan Gunasingham" ], "comment": "14 pages, two figures", "categories": [ "math.NA" ], "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.", "revisions": [ { "version": "v1", "updated": "2018-09-15T20:57:58.000Z" } ], "analyses": { "subjects": [ "65D25", "65M70" ], "keywords": [ "univariate polynomials", "differentiation matrices", "hermite interpolational bases", "orthogonal polynomial bases", "elementary properties" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }