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Parallel Hermite Interpolation on Extended Fibonacci Cubes

International Journal of Computer Applications
© 2012 by IJCA Journal
Volume 54 - Number 17
Year of Publication: 2012
B. N. B. Ray
Alok Ranjan Tripathy
S. P. Mohanty

B N B Ray, Alok Ranjan Tripathy and S P Mohanty. Article: Parallel Hermite Interpolation on Extended Fibonacci Cubes. International Journal of Computer Applications 54(17):36-41, September 2012. Full text available. BibTeX

	author = {B. N. B. Ray and Alok Ranjan Tripathy and S. P. Mohanty},
	title = {Article: Parallel Hermite Interpolation on Extended Fibonacci Cubes},
	journal = {International Journal of Computer Applications},
	year = {2012},
	volume = {54},
	number = {17},
	pages = {36-41},
	month = {September},
	note = {Full text available}


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).


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