On the Sauer-Xu formula for the error in multivariate polynomial interpolation

Mathematics of Computation

Volumn 65, Issue 215, 1996, Pages 1231-1234

  De Boor, Carl ^a  

^a University of Wisconsin Madison   (United States)

Author keywords

Divided difference; Error; Interpolation; Multivariate; Polynomials; Remainder formula

Indexed keywords

ERROR ESTIMATION; POLYNOMIAL INTERPOLATION; REMAINDER FORMULA;

INTERPOLATION;

EID: 0030355189     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-96-00727-2     Document Type: Article

References (5)

1. Carl de Boor, A multivariate divided difference, Approximation Theory VIII, Academic Press, New York, 1995, pp. 87-96.
2. C. A. Micchelli, On a numerically efficient method for computing multivariate B-splines, Multivariate Approximation Theory, Birkhäuser, Basel, 1979, pp. 211-248. MR 81g:65017
3. C. A. Micchelli, On a numerically efficient method for computing multivariate B-splines, Multivariate Approximation Theory, Birkhäuser, Basel, 1979, pp. 211-248. MR 81g:65017
4. T. Sauer and Yuan Xu, On multivariate Lagrange interpolation, Math. Comp. 64 (1995), 1147-1170. MR 95j:41051
5. T. Sauer and Yuan Xu, On multivariate Lagrange interpolation, Math. Comp. 64 (1995), 1147-1170. MR 95j:41051