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On multivariate Hermite interpolation

Advances in Computational Mathematics, 1995
We study the problem of Hermite interpolation by polynomials in several variables. A very general definition of Hermite interpolation is adopted which consists of interpolation of consecutive chains of directional derivatives. We discuss the structure and some aspects of poisedness of the Hermite interpolation problem; using the notion of blockwise ...
Thomas Sauer, Yuan Xu
openaire   +2 more sources

Easy way to Find Multivariate Interpolation

, 2017
Author Yimesgen Mehari Faculty of Natural and Computational Science, Department of Mathematics Adigrat University, Ethiopia Email: yimesgen2004@gmail.com Abstract We derive explicit interpolation formula using non-singular vandermonde matrix for ...
Y. Mehari
semanticscholar   +1 more source

Multivariate Perpendicular Interpolation

SIAM Journal on Numerical Analysis, 1985
An approach to multivariate interpolation is described. The algorithm is applicable in arbitrary dimensions, and can generate surfaces of arbitrary smoothness. This is accomplished by tesselating the (polyhedral) domain into simplices and using one-dimensional algorithms to construct interpolants first on edges and then successively on higher order ...
openaire   +2 more sources

Algebraic multivariate interpolation

2022
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Carlos D ...
openaire   +1 more source

Multivariate Polynomial Interpolation Based Indoor Fingerprinting Localization Using Bluetooth

IEEE Sensors Letters, 2018
Comparing with mature outdoor positioning technology, the demand for indoor positioning is also becoming increasingly extensive. Fingerprinting-based localization using Bluetooth is a promising method for indoor localization.
Meiyan Zhang, Wenyu Cai
semanticscholar   +1 more source

A Multivariate Interpolation and Regression Enhanced Kriging Surrogate Model

, 2013
We present a Kriging surrogate model that is enhanced with a Multivariate Interpolation and Regression (MIR) through a dynamic training point selection. We propose an adaptive training point selection strategy where MIR is used as a local surrogate model
Komahan Boopathy, M. Rumpfkeil
semanticscholar   +1 more source

Improved Hermite multivariate polynomial interpolation

2006 IEEE International Symposium on Information Theory, 2006
In this paper we give an algorithm with complexity O(mu2 ) to solve Hermite multivariate polynomial interpolation with mu conditions on its Hasse derivatives. In the case of bivariate interpolation used to perform list-decoding on Reed-Solomon of length n and dimension k with multiplicity m on each point, it permits to obtain a complexity in O(n2m4 ...
Gaborit, Philippe, Ruatta, Olivier
openaire   +3 more sources

Neural network interpolation operators of multivariate functions

Journal of Computational and Applied Mathematics, 2023
Guo-Shun Wang, Dansheng Yu, Lingmin Guan
semanticscholar   +1 more source

Quantum Communication and Quantum Multivariate Polynomial Interpolation

International Journal of Theoretical Physics, 2017
The paper is devoted to the problem of multivariate polynomial interpolation and its application to quantum secret sharing. We show that using quantum Fourier transform one can produce the protocol for quantum secret sharing distribution.
Do Ngoc Diep, Do Hoang Giang
semanticscholar   +1 more source

Multivariate neural network interpolation operators

Journal of Computational and Applied Mathematics, 2022
U. Kadak
semanticscholar   +1 more source

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