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Constants and Darboux Polynomials for Tensor Products of Polynomial Algebras with Derivations
Communications in Algebra, 2004Let d 1 : k[X] → k[X] and d 2 : k[Y] → k[Y] be k-derivations, where k[X] ≔ k[x 1,…,x n ], k[Y] ≔ k[y 1,…,y m ] are polynomial algebras over a field k of characteristic zero.
Jean Moulin Ollagnier, Andrzej Nowicki
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MOTION PLANNING BY PIECEWISE CONSTANT OR POLYNOMIAL INPUTS
IFAC Proceedings Volumes, 1992Abstract In this paper we present an algorithmic solution of the “Exact Motion Planning Problem” for nilpotent systems, by piecewise constant or polynomial inputs. By using an identification process, we improve here the solution earlier given by Lafferiere and Sussmann, for systems without drift. So we obtain a much smaller number of pieces (in case
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On Roots and Error Constants of Optimal Stability Polynomials
BIT Numerical Mathematics, 2000This paper concerns the optimal stability polynomials, which are polynomials whose stability region is as large as possible in a certain region. An important application of these polynomials is the construction of stabilized Runge-Kutta methods. Some properties of the roots of these polynomials are obtained.
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Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
Advances in Computational Mathematics, 1995H. Wendland
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Lebesgue constants in polynomial interpolation
2006Summary: Lagrange interpolation is a classical method for approximating a continuous function by a polynomial that agrees with the function at a number of chosen points (the 'nodes'). However, the accuracy of the approximation is greatly influenced by the location of these nodes.
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International Journal of Computational Mathematics, 2011
Berna Bülbül, M. Sezer
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Berna Bülbül, M. Sezer
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Derandomizing Polynomial Identity Testing for Multilinear Constant-Read Formulae
2011 IEEE 26th Annual Conference on Computational Complexity, 2011Matthew W. Anderson +2 more
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A Rank-Invariant Method of Linear and Polynomial Regression Analysis
, 1992H. Theil
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