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On Hankel Matrices Approach to Interpolation Problem in Infinite and Finite Fields. / Baravy, I.

Proceedings of the XII International Conference on Innovation and Entrepreneurship (International Science Index). World Academy of Science Engineering and Technology, 2015. p. 1593-1595.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research

Harvard

Baravy, I 2015, On Hankel Matrices Approach to Interpolation Problem in Infinite and Finite Fields. in Proceedings of the XII International Conference on Innovation and Entrepreneurship (International Science Index). World Academy of Science Engineering and Technology, pp. 1593-1595.

APA

Baravy, I. (2015). On Hankel Matrices Approach to Interpolation Problem in Infinite and Finite Fields. In Proceedings of the XII International Conference on Innovation and Entrepreneurship (International Science Index) (pp. 1593-1595). World Academy of Science Engineering and Technology.

Vancouver

Baravy I. On Hankel Matrices Approach to Interpolation Problem in Infinite and Finite Fields. In Proceedings of the XII International Conference on Innovation and Entrepreneurship (International Science Index). World Academy of Science Engineering and Technology. 2015. p. 1593-1595

Author

Baravy, I. / On Hankel Matrices Approach to Interpolation Problem in Infinite and Finite Fields. Proceedings of the XII International Conference on Innovation and Entrepreneurship (International Science Index). World Academy of Science Engineering and Technology, 2015. pp. 1593-1595

BibTeX

@inproceedings{5c8b40a3b23b4234b89d92c021115e98,
title = "On Hankel Matrices Approach to Interpolation Problem in Infinite and Finite Fields",
abstract = "Interpolation problem, as it was initially posed in terms of polynomials, is well researched. However, further mathematical developments extended it significantly. Trigon ometric interpolation is widely used in Fourier analysis, while its generalized representation as exponential interpolation is applicable to such problem of mathematical physics as modelling of Ziegler--Biersack--Littmark repulsive interatomic potentials. Formulated for finite fields, this problem arises in decoding Reed--Solomon codes. T his paper shows the relation between different interpretations of the problem through the class of matrices of special structure -- Hankel matrices.",
keywords = "Berlekamp--Massey algorithm, Exponential interpolation, Finite fields, Hankel matrices, Hankel polynomials",
author = "I. Baravy",
year = "2015",
language = "English",
pages = "1593--1595",
booktitle = "Proceedings of the XII International Conference on Innovation and Entrepreneurship (International Science Index)",
publisher = "World Academy of Science Engineering and Technology",
address = "France",

}

RIS

TY - GEN

T1 - On Hankel Matrices Approach to Interpolation Problem in Infinite and Finite Fields

AU - Baravy, I.

PY - 2015

Y1 - 2015

N2 - Interpolation problem, as it was initially posed in terms of polynomials, is well researched. However, further mathematical developments extended it significantly. Trigon ometric interpolation is widely used in Fourier analysis, while its generalized representation as exponential interpolation is applicable to such problem of mathematical physics as modelling of Ziegler--Biersack--Littmark repulsive interatomic potentials. Formulated for finite fields, this problem arises in decoding Reed--Solomon codes. T his paper shows the relation between different interpretations of the problem through the class of matrices of special structure -- Hankel matrices.

AB - Interpolation problem, as it was initially posed in terms of polynomials, is well researched. However, further mathematical developments extended it significantly. Trigon ometric interpolation is widely used in Fourier analysis, while its generalized representation as exponential interpolation is applicable to such problem of mathematical physics as modelling of Ziegler--Biersack--Littmark repulsive interatomic potentials. Formulated for finite fields, this problem arises in decoding Reed--Solomon codes. T his paper shows the relation between different interpretations of the problem through the class of matrices of special structure -- Hankel matrices.

KW - Berlekamp--Massey algorithm

KW - Exponential interpolation

KW - Finite fields

KW - Hankel matrices

KW - Hankel polynomials

M3 - Conference contribution

SP - 1593

EP - 1595

BT - Proceedings of the XII International Conference on Innovation and Entrepreneurship (International Science Index)

PB - World Academy of Science Engineering and Technology

ER -

ID: 4724413