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Parallel Hermite Interpolation on Extended Fibonacci Cubes

by B. N. B. Ray, Alok Ranjan Tripathy, S. P. Mohanty
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 54 - Number 17
Year of Publication: 2012
Authors: B. N. B. Ray, Alok Ranjan Tripathy, S. P. Mohanty
10.5120/8661-2534

B. N. B. Ray, Alok Ranjan Tripathy, S. P. Mohanty . Parallel Hermite Interpolation on Extended Fibonacci Cubes. International Journal of Computer Applications. 54, 17 ( September 2012), 36-41. DOI=10.5120/8661-2534

@article{ 10.5120/8661-2534,
author = { B. N. B. Ray, Alok Ranjan Tripathy, S. P. Mohanty },
title = { Parallel Hermite Interpolation on Extended Fibonacci Cubes },
journal = { International Journal of Computer Applications },
issue_date = { September 2012 },
volume = { 54 },
number = { 17 },
month = { September },
year = { 2012 },
issn = { 0975-8887 },
pages = { 36-41 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume54/number17/8661-2534/ },
doi = { 10.5120/8661-2534 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:55:58.419384+05:30
%A B. N. B. Ray
%A Alok Ranjan Tripathy
%A S. P. Mohanty
%T Parallel Hermite Interpolation on Extended Fibonacci Cubes
%J International Journal of Computer Applications
%@ 0975-8887
%V 54
%N 17
%P 36-41
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This work suggests a parallel algorithm for Hermite interpolation on Extended Fibonacci Cube EFC1(n). The proposed algorithm has 3 phases: initialization, main and final. The main phase of the algorithm involves 2N+3 multiplications, N additions, 2N subtractions and N divisions. In final phase we propose an efficient algorithm to accumulate the partial sums of Hermite interpolation in O(log2N)≤n-2 steps as oppose to the earlier algorithm in the literature that involves n-2 steps, where N is the number of nodes, n the degree of EFC1(n).

References
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Index Terms

Computer Science
Information Sciences

Keywords

Hermite Interpolation Extended Fibonacci Cubes Parallel algorithm

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