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Journal of Complexity
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Journal of Complexity
Article . 2007
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Approximation of infinitely differentiable multivariate functions is not strongly tractable

Authors: Huang, F.L.; Zhang, S.;

Approximation of infinitely differentiable multivariate functions is not strongly tractable

Abstract

The authors study tractability for multivariate approximation of infinitely differentiable functions, This tractability has yet not been studied. Although this paper does not completely solve this problem, it gives a partial answer, establishing that this approximation problem isn't strongly tractable. The authors conjecture that this approximation problem is intractable.

Related Organizations
Keywords

multivariate approximation, Statistics and Probability, Numerical Analysis, Tractability and strong tractability, Algebra and Number Theory, Control and Optimization, Information-based complexity, Applied Mathematics, Multidimensional problems, Interpolation in approximation theory, Multivariate function approximation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
hybrid