Details
| Original language | English |
|---|---|
| Pages (from-to) | 375-399 |
| Number of pages | 25 |
| Journal | Numerical algorithms |
| Volume | 1 |
| Issue number | 3 |
| Publication status | Published - Oct 1991 |
Abstract
In this note interpolation by real polynomials of several real variables is treated. Existence and unicity of the interpolant for knot systems being the perspective images of certain regular knot systems is discussed. Moreover, for such systems a Newton interpolation formula is derived allowing a recursive computation of the interpolant via multivariate divided differences. A numerical example is given.
Keywords
- multivariate divided differences, multivariate polynomial interpolation, newton interpolation formula, projectivities, Subject classification: 65D05
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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In: Numerical algorithms, Vol. 1, No. 3, 10.1991, p. 375-399.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Multivariate polynomial interpolation under projectivities part I
T2 - lagrange and newton interpolation formulas
AU - Mühlbach, G.
AU - Gasca, M.
PY - 1991/10
Y1 - 1991/10
N2 - In this note interpolation by real polynomials of several real variables is treated. Existence and unicity of the interpolant for knot systems being the perspective images of certain regular knot systems is discussed. Moreover, for such systems a Newton interpolation formula is derived allowing a recursive computation of the interpolant via multivariate divided differences. A numerical example is given.
AB - In this note interpolation by real polynomials of several real variables is treated. Existence and unicity of the interpolant for knot systems being the perspective images of certain regular knot systems is discussed. Moreover, for such systems a Newton interpolation formula is derived allowing a recursive computation of the interpolant via multivariate divided differences. A numerical example is given.
KW - multivariate divided differences
KW - multivariate polynomial interpolation
KW - newton interpolation formula
KW - projectivities
KW - Subject classification: 65D05
UR - http://www.scopus.com/inward/record.url?scp=0005453007&partnerID=8YFLogxK
U2 - 10.1007/BF02142381
DO - 10.1007/BF02142381
M3 - Article
AN - SCOPUS:0005453007
VL - 1
SP - 375
EP - 399
JO - Numerical algorithms
JF - Numerical algorithms
SN - 1017-1398
IS - 3
ER -