Results 31 to 40 of about 162,162 (276)

Analytical formulas for polynomial coefficients in radial basis function interpolation

Mathematical Modelling and Analysis
Radial basis functions (RBF) are used in many areas, including interpolation and approximation, solution of partial differential equations, neural networks, and machine learning. RBFs are based on the sum of weighted kernel functions.
Vaclav Skala
doaj   +1 more source

SIMPLIFIED ESTIMATION FORMULA OF THE MILK PRODUCTION IN SHEEP

Scientific Papers Animal Science and Biotechnologies, 2023
The paper proposes a simplified formula to estimate the milk production in sheep.  The formula is based on using the polynomial of Hermite interpolation of 0 degree. The result constitutes a control value for the milk production parameter.
M. GROZA, GH. HRINCĂ, I. PĂDEANU, S. VOIA, ELENA FECIORU, S. URSU, I. CHIORESCU   +6 more
doaj  

On the constrained mock-Chebyshev least-squares

, 2014
The algebraic polynomial interpolation on uniformly distributed nodes is affected by the Runge phenomenon, also when the function to be interpolated is analytic.
De Marchi, Stefano, Dell'Accio, Francesco, Mazza, Mariarosa   +2 more
core   +1 more source

Revisit Sparse Polynomial Interpolation based on Randomized Kronecker Substitution

, 2018
In this paper, a new reduction based interpolation algorithm for black-box multivariate polynomials over finite fields is given. The method is based on two main ingredients.
A Arnold, A Arnold, A Cuyt, DP Dubhashi, DY Grigoriev, EL Kaltofen, J Gathen, JM Pollard, M Avendaño, M Giesbrecht, MA Nielsen, MDA Huang, N Alon, R Zippel, R Zippel, S Garg, Y Mansour, YN Lakshman   +17 more
core   +1 more source

Matrix Transformations and Disk of Convergence in Interpolation Processes

International Journal of Mathematics and Mathematical Sciences, 2008
Let 𝐴𝜌 denote the set of functions analytic in |𝑧|
Chikkanna R. Selvaraj, Suguna Selvaraj
doaj   +1 more source

General Linearized Polynomial Interpolation and Its Applications

, 2011
In this paper, we first propose a general interpolation algorithm in a free module of a linearized polynomial ring, and then apply this algorithm to decode several important families of codes, Gabidulin codes, KK codes and MV codes.
Suter, Bruce W., Xie, Hongmei, Yan, Zhiyuan   +2 more
core   +1 more source

Polynomial Interpolation on Sequences

Mathematica Pannonica, 2022
This short note deals with polynomial interpolation of complex numbers verifying a Lipschitz condition, performed on consecutive points of a given sequence in the plane. We are interested in those sequences which provide a bound of the error at the first uninterpolated point, depending only on its distance to the last interpolated one.
Tugores, Francesc, Tugores, Laia
openaire   +1 more source

Remarks on interpolation in certain linear spaces (IV)

Journal of Numerical Analysis and Approximation Theory, 2007
In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
doaj   +2 more sources

Counterexample-Guided Polynomial Loop Invariant Generation by Lagrange Interpolation

, 2015
We apply multivariate Lagrange interpolation to synthesize polynomial quantitative loop invariants for probabilistic programs. We reduce the computation of an quantitative loop invariant to solving constraints over program variables and unknown ...
A Chakarov, A Dolzmann, A Dolzmann, A Gupta, A Gupta, A McIver, C Boor De, CAR Hoare, D Kozen, EW Dijkstra, F Gretz, F Gretz, J Hartog Den, J-P Katoen, JW Eaton, L Moura de, M Uslar, MA Colón, MO Rabin, P Cousot, PJ Olver, RW Floyd, S Sankaranarayanan, T Sauer   +23 more
core   +1 more source

The Leja method revisited: backward error analysis for the matrix exponential [PDF]

, 2016
The Leja method is a polynomial interpolation procedure that can be used to compute matrix functions. In particular, computing the action of the matrix exponential on a given vector is a typical application.
Caliari, Marco, Kandolf, Peter, Ostermann, Alexander, Rainer, Stefan   +3 more
core   +2 more sources