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» Interpolation of Shifted-Lacunary Polynomials
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MOC
1998
111views more  MOC 1998»
14 years 9 months ago
The approximation power of moving least-squares
A general method for near-best approximations to functionals on Rd, using scattered-data information is discussed. The method is actually the moving least-squares method, presented...
David Levin
STOC
2007
ACM
133views Algorithms» more  STOC 2007»
15 years 10 months ago
Interpolation of depth-3 arithmetic circuits with two multiplication gates
In this paper we consider the problem of constructing a small arithmetic circuit for a polynomial for which we have oracle access. Our focus is on n-variate polynomials, over a fi...
Amir Shpilka
MOC
2002
86views more  MOC 2002»
14 years 9 months ago
Hermite interpolation of nonsmooth functions preserving boundary conditions
Abstract. This article is devoted to the construction of a Hermite-type regularization operator transforming functions that are not necessarily C1 into globally C1 finite-element f...
V. Girault, L. R. Scott
MICS
2007
84views more  MICS 2007»
14 years 9 months ago
Pseudospectra of Matrix Polynomials that Are Expressed in Alternative Bases
Spectra and pseudospectra of matrix polynomials are of interest in geometric intersection problems, vibration problems, and analysis of dynamical systems. In this note we consider ...
Robert M. Corless, Nargol Rezvani, Amirhossein Ami...
ADCM
2005
86views more  ADCM 2005»
14 years 10 months ago
Interpolating polynomial wavelets on [-1, 1]
In the present paper polynomial interpolating scaling function and wavelets are constructed by using the interpolation properties of de la Vall
M. R. Capobianco, Woula Themistoclakis