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» Interpolation of Shifted-Lacunary Polynomials
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DAGSTUHL
2006
14 years 11 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»
14 years 10 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
COMPUTING
2007
108views more  COMPUTING 2007»
14 years 10 months ago
Accurate evaluation of divided differences for polynomial interpolation of exponential propagators
In this paper, we propose an approach to the computation of more accurate divided differences for the interpolation in the Newton form of the matrix exponential propagator ϕ(hA)v...
Marco Caliari
MP
2002
176views more  MP 2002»
14 years 9 months ago
UOBYQA: unconstrained optimization by quadratic approximation
UOBYQA is a new algorithm for general unconstrained optimization calculations, that takes account of the curvature of the objective function, F say, by forming quadratic models by ...
M. J. D. Powell