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» A multivariate Powell-Sabin interpolant
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ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
14 years 1 months ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
14 years 1 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
AUTOMATICA
2007
70views more  AUTOMATICA 2007»
13 years 7 months ago
Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Abstract: We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition...
Jean-Paul Marmorat, Martine Olivi
IJCNN
2007
IEEE
14 years 1 months ago
Upper Bound on Pattern Storage in Feedforward Networks
—Starting from the strict interpolation equations for multivariate polynomials, an upper bound is developed for the number of patterns that can be memorized by a nonlinear feedfo...
Pramod Lakshmi Narasimha, Michael T. Manry, Franci...
AMC
2010
86views more  AMC 2010»
13 years 7 months ago
On properties of cell matrices
In this paper properties of cell matrices are studied. A determinant of such a matrix is given in a closed form. In the proof a general method for determining a determinant of a s...
Gasper Jaklic, Jolanda Modic