Standard

Hankel Polynomials in the Interpolation Problems. / Uteshev, Alexei Yu.; Baravy, Ivan.

International Conference Polynomial Computer Algebra'2016. СПб. : Издательство «ВВМ», 2016. стр. 78-81.

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная

Harvard

Uteshev, AY & Baravy, I 2016, Hankel Polynomials in the Interpolation Problems. в International Conference Polynomial Computer Algebra'2016. Издательство «ВВМ», СПб., стр. 78-81, Polynomial Computer Algebra 2016, Санкт-Петербург, Российская Федерация, 18/04/16.

APA

Uteshev, A. Y., & Baravy, I. (2016). Hankel Polynomials in the Interpolation Problems. в International Conference Polynomial Computer Algebra'2016 (стр. 78-81). Издательство «ВВМ».

Vancouver

Uteshev AY, Baravy I. Hankel Polynomials in the Interpolation Problems. в International Conference Polynomial Computer Algebra'2016. СПб.: Издательство «ВВМ». 2016. стр. 78-81

Author

Uteshev, Alexei Yu. ; Baravy, Ivan. / Hankel Polynomials in the Interpolation Problems. International Conference Polynomial Computer Algebra'2016. СПб. : Издательство «ВВМ», 2016. стр. 78-81

BibTeX

@inproceedings{be55fee93ffb40a3a75a493bafc00904,
title = "Hankel Polynomials in the Interpolation Problems",
abstract = "We treat the univariate interpolation problem {f (xj) = yj }jjLi for polynomial and rational functions. Developing the approach by C.Jacobi, we represent the interpolants by virtue of the Hankel polynomials generated by the sequences {jji. xyj/W'(xj)}fc£N and {jji. xj/(yjW'(xj))}fceN; here W(x) = J=i(x - xj). The obtained results are applied for the error correction problem, i.e. the problem of reconstructing the polynomial from a redundant set of its values some of which are probably erroneous. The problem of evaluation of the resultant of polynomials p(x) and q(x) from the set of their values is also tackled within the framework of this approach.",
keywords = "Hankel polynomials, Hankel matrices, Polynomial interpolation, Rational interpolation, Resultant interpolation",
author = "Uteshev, {Alexei Yu.} and Ivan Baravy",
year = "2016",
language = "English",
isbn = "978-5-9651-0976-0",
pages = "78--81",
booktitle = "International Conference Polynomial Computer Algebra'2016",
publisher = "Издательство «ВВМ»",
address = "Russian Federation",
note = "null ; Conference date: 18-04-2016 Through 23-04-2016",
url = "http://pca.pdmi.ras.ru/2016/",

}

RIS

TY - GEN

T1 - Hankel Polynomials in the Interpolation Problems

AU - Uteshev, Alexei Yu.

AU - Baravy, Ivan

PY - 2016

Y1 - 2016

N2 - We treat the univariate interpolation problem {f (xj) = yj }jjLi for polynomial and rational functions. Developing the approach by C.Jacobi, we represent the interpolants by virtue of the Hankel polynomials generated by the sequences {jji. xyj/W'(xj)}fc£N and {jji. xj/(yjW'(xj))}fceN; here W(x) = J=i(x - xj). The obtained results are applied for the error correction problem, i.e. the problem of reconstructing the polynomial from a redundant set of its values some of which are probably erroneous. The problem of evaluation of the resultant of polynomials p(x) and q(x) from the set of their values is also tackled within the framework of this approach.

AB - We treat the univariate interpolation problem {f (xj) = yj }jjLi for polynomial and rational functions. Developing the approach by C.Jacobi, we represent the interpolants by virtue of the Hankel polynomials generated by the sequences {jji. xyj/W'(xj)}fc£N and {jji. xj/(yjW'(xj))}fceN; here W(x) = J=i(x - xj). The obtained results are applied for the error correction problem, i.e. the problem of reconstructing the polynomial from a redundant set of its values some of which are probably erroneous. The problem of evaluation of the resultant of polynomials p(x) and q(x) from the set of their values is also tackled within the framework of this approach.

KW - Hankel polynomials

KW - Hankel matrices

KW - Polynomial interpolation

KW - Rational interpolation

KW - Resultant interpolation

UR - https://www.elibrary.ru/item.asp?id=26437522

UR - http://pca.pdmi.ras.ru/2016/abstracts_files/Uteshev_Baravy.pdf

M3 - Conference contribution

SN - 978-5-9651-0976-0

SP - 78

EP - 81

BT - International Conference Polynomial Computer Algebra'2016

PB - Издательство «ВВМ»

CY - СПб.

Y2 - 18 April 2016 through 23 April 2016

ER -

ID: 7600513