NDLI: Parallel algorithms for finding polynomial Roots on OTIS-torus

Content Provider	Springer Nature Link
Author	Lucas, Keny T. Jana, Prasanta K.
Copyright Year	2009
Abstract	We present two parallel algorithms for finding all the roots of an N-degree polynomial equation on an efficient model of Optoelectronic Transpose Interconnection System (OTIS), called OTIS-2D torus. The parallel algorithms are based on the iterative schemes of Durand–Kerner and Ehrlich methods. We show that the algorithm for the Durand–Kerner method requires (N $^{0.75}$+0.5N $^{0.25}$−1) electronic moves + 2(N $^{0.5}$−1) OTIS moves using N processors. The parallel algorithm for Ehrlich method is shown to run in (N $^{0.75}$+0.5N $^{0.25}$−1) electronic moves + 2(N $^{0.5}$−1) OTIS moves with the same number of processors. The algorithms have lower AT cost than the algorithms presented in Jana (Parallel Comput 32:301–312, 2006). The scalability of the algorithms is also discussed.
Starting Page	139
Ending Page	153
Page Count	15
File Format	PDF
ISSN	09208542
Journal	The Journal of Supercomputing
Volume Number	54
Issue Number	2
e-ISSN	15730484
Language	English
Publisher	Springer US
Publisher Date	2009-07-07
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Parallel algorithms Optoelectronic parallel computer OTIS-2D torus Polynomial roots Durand–Kerner scheme Ehrlich scheme Computer Science Processor Architectures Programming Languages, Compilers, Interpreters
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Information Systems Hardware and Architecture Software

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