Repository logo
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
Repository logo
Repository logo
  • Archive
  • Series/Journals
  • EUT
  • Events
  • Statistics
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
  1. Home
  2. EUT Edizioni Università di Trieste
  3. Periodici
  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.37 (2005)
  6. Polynomial Ideals, Monomial Bases and a Divided Difference Formula
 
  • Details
  • Metrics
Options

Polynomial Ideals, Monomial Bases and a Divided Difference Formula

Pistone, Giovanni
•
Riccomagno, Eva
•
Wynn, Henry P.
2005
Loading...
Thumbnail Image
ISSN
0049-4704
http://hdl.handle.net/10077/4145
  • Article

Abstract
A generalised (multivariate) divided difference formula is given for an arbitrary finite set of points with no subsets of three points that lie on a line. This follows from an extension of the Newton’s polynomials and Newton’s interpolation formula. It is derived as the interpolation based on Gr¨obner bases for the grid expressed as a zero-dimensional variety and is typically dependent on the chosen term-ordering and the selected ordering of points in the grid.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
37 (2005)
Subjects
  • Divided differences

  • Polynomial ideals

  • Taylor approximation

Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Source
G. Pistone, E. Riccomagno, H.P. Wynn, "Polynomial Ideals, Monomial Bases and a Divided Difference Formula", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 37 (2005), pp. 121-144.
Languages
en
File(s)
Loading...
Thumbnail Image
Download
Name

PistoneRiccomagnoWynnRendMat37.pdf

Format

Adobe PDF

Size

187.42 KB

Indexed by

 Info

Open Access Policy

Share/Save

 Contacts

EUT Edizioni Università di Trieste

OpenstarTs

 Link

Wiki OpenAcces

Archivio Ricerca ArTS

Built with DSpace-CRIS software - Extension maintained and optimized by 4Science

  • Cookie settings
  • Privacy policy
  • End User Agreement
  • Send Feedback