Search Results - Matrix recursive polynomial interpolation algorithm

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  1. 1

    GRPIA: a new algorithm for computing interpolation polynomials by Messaoudi, Abderrahim, Errachid, Mohammed, Jbilou, Khalide, Sadok, Hassane

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.01.2019
    Published in Numerical algorithms (01.01.2019)
    “… Recently, Messaoudi et al. ( 2017 ) presented a new algorithm for computing the Hermite interpolation polynomial called the Matrix Recursive Polynomial Interpolation Algorithm (MRPIA…”
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    Journal Article
  2. 2

    New algorithm for computing the Hermite interpolation polynomial by Messaoudi, A., Sadaka, R., Sadok, H.

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.04.2018
    Published in Numerical algorithms (01.04.2018)
    “… We will reformulate the Hermite interpolation polynomial problem and give a new algorithm for giving the solution of this problem, the Matrix Recursive Polynomial Interpolation Algorithm (MRPIA…”
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    Journal Article
  3. 3

    RMPIA: a new algorithm for computing the Lagrange matrix interpolation polynomials by Messaoudi, Abderrahim, Sadok, Hassane

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.01.2023
    Published in Numerical algorithms (01.01.2023)
    “… We will reformulate the Lagrange matrix interpolation polynomial problem and give a new algorithm for giving the solution of this problem, the Recursive Matrix Polynomial Interpolation Algorithm (RMPIA…”
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    Journal Article
  4. 4

    Recursive polynomial interpolation algorithm (RPIA) by Messaoudi, Abderrahim, Sadok, Hassane

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.11.2017
    Published in Numerical algorithms (01.11.2017)
    “… the solution of this problem, the recursive polynomial interpolation algorithm (RPIA). Some properties of this algorithm will be studied and some examples will also…”
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    Journal Article
  5. 5

    Discrete Transforms and Orthogonal Polynomials of (Anti)symmetric Multivariate Sine Functions by Brus, Adam, Hrivnák, Jiří, Motlochová, Lenka

    ISSN: 1099-4300, 1099-4300
    Published: Switzerland MDPI AG 06.12.2018
    Published in Entropy (Basel, Switzerland) (06.12.2018)
    “… For the three-dimensional case, interpolation tests, unitary transform matrices and recursive algorithms for calculation of the polynomials are presented…”
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    Journal Article
  6. 6

    A recursive algorithm for computing the inverse of the Vandermonde matrix by Aliyari Ghassabeh, Youness

    ISSN: 2331-1916, 2331-1916
    Published: Abingdon Cogent 31.12.2016
    Published in Cogent engineering (31.12.2016)
    “…The inverse of a Vandermonde matrix has been used for signal processing, polynomial interpolation, curve fitting, wireless communication, and system identification…”
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    Journal Article
  7. 7

    On the accurate computation of the Newton form of the Lagrange interpolant by Khiar, Y., Mainar, E., Royo-Amondarain, E., Rubio, B.

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.03.2025
    Published in Numerical algorithms (01.03.2025)
    “…—of relevance when considering the Lagrange interpolation problem—together with an algorithm that allows to numerically compute it to high relative accuracy…”
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    Journal Article
  8. 8

    Recursive trigonometric interpolation algorithms by Stotsky, A A

    ISSN: 0959-6518, 2041-3041, 2041-3041
    Published: London, England SAGE Publications 01.01.2010
    “…Abstract Two new recursive algorithms for the calculation of the coefficients of the trigonometric polynomial that is fitted to measured data in the least-squares sense in a window of a sufficiently…”
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    Journal Article
  9. 9

    A New Derivation and Recursive Algorithm Based on Wronskian Matrix for Vandermonde Inverse Matrix by Zhou, Qun, Liu, Xiongwei, Zhang, Xinjian

    ISSN: 1024-123X, 1563-5147
    Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2015
    Published in Mathematical problems in engineering (01.01.2015)
    “…For an analytical expression of Vandermonde inverse matrix, a new derivation process basedon Wronskian matrix and Lagrange interpolation polynomial basis is presented…”
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    Journal Article
  10. 10

    Rational Interpolation: Jacobi’s Approach Reminiscence by Uteshev, Alexei, Baravy, Ivan, Kalinina, Elizaveta

    ISSN: 2073-8994, 2073-8994
    Published: Basel MDPI AG 01.08.2021
    Published in Symmetry (Basel) (01.08.2021)
    “…We treat the interpolation problem {f(xj)=yj}j=1N for polynomial and rational functions…”
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    Journal Article
  11. 11

    Polynomial-division-based algorithms for computing linear recurrence relations by Berthomieu, Jérémy, Faugère, Jean-Charles

    ISSN: 0747-7171, 1095-855X
    Published: Elsevier Ltd 01.03.2022
    Published in Journal of symbolic computation (01.03.2022)
    “… They come down to computing linear recurrence relations of a sequence with the Berlekamp–Massey algorithm. Likewise, sparse multivariate polynomial interpolation…”
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    Journal Article
  12. 12

    An Interpolator for a Non-Uniform Rational B-Spline Curve with a High Efficiency and Accuracy Using Polynomial Representations by Huang, Zhuiliang, Chen, Jianxiong

    ISSN: 2076-0825, 2076-0825
    Published: Basel MDPI AG 01.11.2024
    Published in Actuators (01.11.2024)
    “… A recursive matrix representation and polynomial conversion are utilized to enhance the computation of NURBS curve intermediate points and derivatives…”
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    Journal Article
  13. 13

    The Bulirsch‐Stoer algorithm for multivariate rational interpolation by Xia, Peng, Dong, Tian, Zhang, Shugong, Lei, Na

    ISSN: 0170-4214, 1099-1476
    Published: Freiburg Wiley Subscription Services, Inc 30.11.2018
    “…The Neville‐type algorithms are widely used in engineering and sciences. As an analog of Neville's algorithm that deals with univariate polynomial interpolation, Bulirsch…”
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    Journal Article
  14. 14

    A numerical method for pricing discrete double barrier option by Lagrange interpolation on Jacobi nodes by Sobhani, Amirhossein, Milev, Mariyan

    ISSN: 0170-4214, 1099-1476
    Published: Freiburg Wiley Subscription Services, Inc 30.03.2023
    “… We have approximated these recursive solutions with the aid of Lagrange interpolation on Jacobi polynomial nodes…”
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  15. 15

    A recursive method for solving unconstrained tangential interpolation problems by Boros, T., Sayed, A.H., Kailath, T.

    ISSN: 0018-9286
    Published: New York, NY IEEE 01.03.1999
    Published in IEEE transactions on automatic control (01.03.1999)
    “…An efficient recursive solution is presented for the one-sided unconstrained tangential interpolation problem…”
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  16. 16

    On the Newton bivariate polynomial interpolation with applications by Varsamis, Dimitris N., Karampetakis, Nicholas P.

    ISSN: 0923-6082, 1573-0824
    Published: Boston Springer US 01.01.2014
    “…The main purpose of this work is to provide recursive algorithms for the computation of the Newton interpolation polynomial of a given two-variable function…”
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  17. 17

    Moment Estimation Using a Marginalized Transform by Sandblom, F., Svensson, L.

    ISSN: 1053-587X, 1941-0476, 1941-0476
    Published: New York, NY IEEE 01.12.2012
    Published in IEEE transactions on signal processing (01.12.2012)
    “… An estimation algorithm, based on the assumption that the transforming function can be described…”
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    Journal Article
  18. 18

    On the accurate computation of the Newton form of the Lagrange interpolant by Khiar, Yasmina, Mainar, Esmeralda, Royo-Amondarain, Eduardo, Rubio, Beatriz

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 22.12.2023
    Published in arXiv.org (22.12.2023)
    “… In this framework, the present work provides the factorization of the collocation matrices of Newton bases -- of relevance when considering the Lagrange interpolation problem -- together…”
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    Paper
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    Computing ECT-B-splines recursively by Mühlbach, Günter W., Tang, Yuehong

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer Nature B.V 01.01.2006
    Published in Numerical algorithms (01.01.2006)
    “…ECT-spline curves for sequences of multiple knots are generated from different local ECT-systems via connection matrices…”
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    Journal Article