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» A multivariate Powell-Sabin interpolant
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ADCM
2004
58views more  ADCM 2004»
13 years 7 months ago
Classification of Bivariate Configurations with Simple Lagrange Interpolation Formulae
In 1977 Chung and Yao introduced a geometric characterization in multivariate interpolation in order to identify distributions of points such that the Lagrange functions are produc...
Jesús M. Carnicer, Mariano Gasca
NA
2007
70views more  NA 2007»
13 years 7 months ago
Multivariate polynomial interpolation: conjectures concerning GC-sets
GC-sets are subsets T of Rd of cardinality dim Πn for which, for each τ ∈ T, there are n hyperplanes whose union contains all of T except for τ, thus making interpolation to a...
Carl de Boor
ACCV
2007
Springer
14 years 1 months ago
Interpolation Between Eigenspaces Using Rotation in Multiple Dimensions
We propose a method for interpolation between eigenspaces. Techniques that represent observed patterns as multivariate normal distribution have actively been developed to make it r...
Tomokazu Takahashi, Lina, Ichiro Ide, Yoshito Meka...
DAGSTUHL
2006
13 years 8 months ago
Probabilistically Stable Numerical Sparse Polynomial Interpolation
We consider the problem of sparse interpolation of a multivariate black-box polynomial in floating-point arithmetic. That is, both the inputs and outputs of the black-box polynomia...
Mark Giesbrecht, George Labahn, Wen-shin Lee
COMBINATORICS
2000
142views more  COMBINATORICS 2000»
13 years 7 months ago
Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on th...
Alexei Borodin, Grigori Olshanski