Cart (Loading....) | Create Account
Close category search window
 

Analysis of asynchronous polynomial root finding methods on a distributed memory multicomputer

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Cosnard, M. ; Ecole Normale Superieure de Lyon, France ; Fraigniaud, P.

We have studied various implementations of iterative polynomial root finding methods on a distributed memory multicomputer. These methods are based on the construction of a sequence of approximations that converge to the set of zeros. The synchronous version consists in sharing the computation of the next iterate among the processors and updating their data through a total exchange of their results. In order to decrease the communication cost, we introduce asynchronous versions. The computation of the next iterate is still shared among the processor, but the updating is done by using only nearest neighbor communications. We prove that under weak conditions, these asynchronous versions are still locally convergent, even if their convergence orders are reduced. We analyze the behavior of the asynchronous methods in function of their delay, the topology of the interconnection network, and the elementary computation and communication times. We have implemented and compared these methods on a hypercube multicomputer

Published in:

Parallel and Distributed Systems, IEEE Transactions on  (Volume:5 ,  Issue: 6 )

Date of Publication:

Jun 1994

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.