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Application of Fixed-Point Algorithm in Parallel Systems

Surya Prakash Pandey1 , Rakesh Kumar Katare2

Section:Research Paper, Product Type: Journal Paper
Volume-6 , Issue-6 , Page no. 714-719, Jun-2018

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v6i6.714719

Online published on Jun 30, 2018

Copyright © Surya Prakash Pandey, Rakesh Kumar Katare . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: Surya Prakash Pandey, Rakesh Kumar Katare, “Application of Fixed-Point Algorithm in Parallel Systems,” International Journal of Computer Sciences and Engineering, Vol.6, Issue.6, pp.714-719, 2018.

MLA Style Citation: Surya Prakash Pandey, Rakesh Kumar Katare "Application of Fixed-Point Algorithm in Parallel Systems." International Journal of Computer Sciences and Engineering 6.6 (2018): 714-719.

APA Style Citation: Surya Prakash Pandey, Rakesh Kumar Katare, (2018). Application of Fixed-Point Algorithm in Parallel Systems. International Journal of Computer Sciences and Engineering, 6(6), 714-719.

BibTex Style Citation:
@article{Pandey_2018,
author = {Surya Prakash Pandey, Rakesh Kumar Katare},
title = {Application of Fixed-Point Algorithm in Parallel Systems},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {6 2018},
volume = {6},
Issue = {6},
month = {6},
year = {2018},
issn = {2347-2693},
pages = {714-719},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=2243},
doi = {https://doi.org/10.26438/ijcse/v6i6.714719}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i6.714719}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=2243
TI - Application of Fixed-Point Algorithm in Parallel Systems
T2 - International Journal of Computer Sciences and Engineering
AU - Surya Prakash Pandey, Rakesh Kumar Katare
PY - 2018
DA - 2018/06/30
PB - IJCSE, Indore, INDIA
SP - 714-719
IS - 6
VL - 6
SN - 2347-2693
ER -

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Abstract

Fixed point algorithm is a powerful method to determine more accurate solutions to dynamical systems and widely used in analysis, algebra, geometry, and logic which is available all over the world anywhere and anytime. Convergence of fixed point iteration plays vital role in the solution of problems. This paper introduces about fixed point algorithm and fixed point iteration with it applications. We studied some fixed point iteration methods which can be used in parallel systems. We assumed that each problem of parallel systems can be expressed or solved using the fixed point algorithm. For generating the parallel grid of processor four iterative algorithms or methods can be used.

Key-Words / Index Term

Fixed-Point, Fixed-Point Algorithm, Fixed-Point Iteration, Chain Point, Attractive Fixed-point.

References

[1] Esik. Z., (1980), “Identities in iterative algebraic theories Computational Linguistics and Computer Languages”, 14:183–207.
[2] Esik Zoltan. (2009),”Fixed Point theory” Springer-Verlag Berlin, chapter 2, Page 29-65.
[3] Asati Alok, Singh Amardeep and Parihar C.L. (2013), “127 Years of Fixed point theory-A Brief Survey of development of fixed point theory” Vol 04.
[4] Fiacco A.V., (1974), “Convergence properties of local solutions of sequences of mathematical programming problems in general spaces”, Journal of Optimization Theory and Applications Vol 13, 1–12.
[5] Kok-Keong Tan & Hong-Kun Xu, (1993), “Approximating fixed point of nonexpansive Mappings”, by the Ishikawa iteration process, journal of Mathematical analysis and applications 178, 301-308.
[6] Burden R L & Faires J D, (2011), “Numerical Analysis” Dublin City University.
[7] Coxeter, H. S. M. (1942), “Non-Euclidean Geometry” University of Toronto Press. p. 36.
[8] Weisstein, Eric W. "Dottie Number", Wolfram MathWorld, Wolfram Research, Inc. Retrieved 23 July 2016.
[9] https://mat.iitm.ac.in/home/sryedida/public_html/caimna/transcendental/iteration%20methods/fixed-point/iteration.html.
[10] Ortega, J.M., and R.G. Voigt. 1985, “Solution of partial differential equations on vector and parallel computers”, SiAM Rev.27:149-240.