Generation of lattices of points for bivariate interpolation

Numerical Algorithms

Volumn 39, Issue 1-3, 2005, Pages 69-79

  Carnicer, J M ^a   Gasca, M ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Bivariate interpolation; Geometric characterization; Lagrange formula; Principal lattices

Indexed keywords

EID: 17444374233     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11075-004-3621-1     Document Type: Article

References (6)

1. R. Bix, Conics and Cubics: A Concrete Introduction to Algebraic Curves (Springer, New York, 1988).
2. J.M. Carnicer and M. García-Esnaola, Lagrange interpolation on conics and cubics, Comput. Aided Geom. Design 19 (2002) 313-326.
3. J.M. Carnicer and M. Gasca, Interpolation on lattices generated by cubic pencils, Adv. Comput. Math., to appear.
4. K.C. Chung and T.H. Yao, On lattices admitting unique Lagrange interpolations, SIAM J. Numer. Anal. 14 (1977) 735-743.
5. W. Fulton, Algebraic Curves. An Introduction to Algebraic Geometry (Benjamin Cummings, Reading, MA, 1969).
6. S.L. Lee and G.M. Phillips, Construction of lattices for Lagrange interpolation in projective space, Constr. Approx. 7 (1991) 283-297.