A Model for Uncoordinated Distributed Computation of Fixed Points.

Abstract

We present an algorithmc model for distributed computation of fixed points whereby several processors participate simultaneously in the calculations while exchanging information via communication links. We place essentially no assumption on the ordering of computation and communication between processors thereby allowing for completely uncoordinated execution. We find that even under these potentially chaotic circumstances it is possible to solve several important classes of problems including the calculation of fixed points of contraction and monotone mappings arising in linear and nonlinear systems of equations, shortest path problems, and dynamic programming. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA104819

Entities

People

  • Dimitri P. Bertsekas

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Communication Networks
  • Computations
  • Computer Communications
  • Computer Programming
  • Computer Science
  • Dynamic Programming
  • Electrical Engineering
  • Engineering
  • Equations
  • Information Systems
  • Interdisciplinary Science
  • Intervals
  • Mathematical Analysis
  • Military Research
  • Networks
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Parallel and Distributed Computing.