Name
Abstract | ||
|---|---|---|
We introduce a unifying formulation of a number of related problems which can all be solved using a contour integral formula. Each of these problems requires finding a non-trivial linear combination of possibly some of the values of a function f, and possibly some of its derivatives, at a number of data points. This linear combination is required to have zero value when f is a polynomial of up to a specific degree p. Examples of this type of problem include Lagrange, Hermite and Hermite---Birkhoff interpolation; fixed-denominator rational interpolation; and various numerical quadrature and differentiation formulae. Other applications include the estimation of missing data and root-finding. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s11075-010-9385-x | Numerical Algorithms |
Keywords | Field | DocType |
Lagrange,Hermite,and Hermite–Birkhoff interpolation,Contour integrals,Barycentric form,Fixed-denominator rational interpolation,Root-finding,41A05,65D05,65D25,65D30 | Linear combination,Lagrange polynomial,Mathematical optimization,Polynomial interpolation,Polynomial,Mathematical analysis,Interpolation,Root-finding algorithm,Birkhoff interpolation,Hermite interpolation,Mathematics | Journal |
Volume | Issue | ISSN |
56 | 3 | 1017-1398 |
Citations | PageRank | References |
3 | 0.53 | 14 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| John C. Butcher | 1 | 46 | 15.37 |
| Robert M. Corless | 2 | 1239 | 127.79 |
| Laureano Gonzalez-Vega | 3 | 199 | 17.77 |
| Azar Shakoori | 4 | 23 | 3.08 |