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Hermite-Fejér Interpolation by Trigonometric Polynomials

Hermite-Fejér Interpolation by Trigonometric Polynomials
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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
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Interpolation properties of Hermite–Padé polynomials

Russian Mathematical Surveys, 2021
In this paper, the author said that two theorems about properties of Hermite-Padé polynomials of interpolation can be proved, one using the classical potential theory methods proposed by \textit{A. A. Gonchar} and \textit{E. A. Rakhmanov} [Proc. Steklov Inst. Math.
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Hermite Interpolation Polynomials on Parallelepipeds and FEM Applications

Mathematics in Computer Science, 2023
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Gusev A.A., Chuluunbaatar Galmandakh, Chuluunbaatar Ochbadrakh, Vinitsky S.I., Blinkov Y.A., Deveikis Algirdas, Hess P.O., Hai L.L.   +7 more
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Hermite Interpolation Polynomial for Functions of Several Variables

Cybernetics and Systems Analysis, 2022
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On Bivariate Hermite Interpolation with Minimal Degree Polynomials

SIAM Journal on Numerical Analysis, 2000
Let \(r= ax+ by+ c\) be a polynomial for which \(a^2+ b^2= 1\), \(a> 0\), or \(a= 0\) and \(b> 0\). Both the polynomial \(r\) and the straight line \(r= 0\) are denoted by the same symbol. Let \(\Gamma= \{r_0,\dots, r_n\}\), \(\Gamma'= \{r_0',\dots, r_m'\}\) be two systems of straight lines in \(\mathbb{R}^2\), such that each pair \((r_i, r_j')\in ...
Gasca, Mariano, Sauer, Thomas
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Hermite interpolation with symmetric polynomials

Numerical Algorithms, 2017
A problem of Hermite interpolation for symmetric bivariate polynomials is solved, i.e. the problem to develop a symmetric bivariate polynomial of \(n\)-th degree which matches, on a set of distinct points, the function values and its partial derivatives.
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Hermite interpolation with trigonometric polynomials

BIT, 1993
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A Fractal Version of a Bivariate Hermite Polynomial Interpolation

Mediterranean Journal of Mathematics, 2021
One and two dimensional interpolation is a useful tool for many purposes, in particular when collocation methods are required for solving ordinary or partial differential equations. Hermite interpolation (or Hermite-Birkhoff, as the case may be) is particularly efficient for these applications since derivatives are also approximated. In this paper this
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