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

Communication complexity of algebraic computation

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)
Zhi-Quan Luo ; Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada ; Tsitsiklis, J.N.

The authors consider a situation in which two processors P1 and P2 are to evaluate one or more functions f1, . . ., fs of two vector variables x and y, under the assumption that processor P1 (respectively, P2 ) has access only to the value of x (respectively, y ) and the functional form of f1, . . ., f s. They consider a continuous model of communication whereby real-valued messages are transmitted, and they study the minimum number of messages required for the desired computation. Tight lower bounds are established for the following three problems: (1) each f i is a rational function and only one-way communication is allowed. (2) The variables x and y are matrices and the processors wish to solve the linear system (x+y) z=b for the unknown z. (3) The processors wish to evaluate a particular root of the polynomial equation Σ( xi+yi)zi=0, where the sum is from i=0 to n-1

Published in:

Foundations of Computer Science, 1990. Proceedings., 31st Annual Symposium on

Date of Conference:

22-24 Oct 1990

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.