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On multivariate Hermite interpolation
Advances in Computational Mathematics, 1995We 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
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Easy way to Find Multivariate Interpolation
, 2017Author 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
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Multivariate Perpendicular Interpolation
SIAM Journal on Numerical Analysis, 1985An 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 ...
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Algebraic multivariate interpolation
2022Treballs Finals de Grau de Matemà tiques, Facultat de Matemà tiques, Universitat de Barcelona, Any: 2022, Director: Carlos D ...
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Multivariate Polynomial Interpolation Based Indoor Fingerprinting Localization Using Bluetooth
IEEE Sensors Letters, 2018Comparing 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
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A Multivariate Interpolation and Regression Enhanced Kriging Surrogate Model
, 2013We 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
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Improved Hermite multivariate polynomial interpolation
2006 IEEE International Symposium on Information Theory, 2006In 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
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Neural network interpolation operators of multivariate functions
Journal of Computational and Applied Mathematics, 2023Guo-Shun Wang, Dansheng Yu, Lingmin Guan
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Quantum Communication and Quantum Multivariate Polynomial Interpolation
International Journal of Theoretical Physics, 2017The 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
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Multivariate neural network interpolation operators
Journal of Computational and Applied Mathematics, 2022U. Kadak
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