Convergence of the D-iteration algorithm: convergence rate and asynchronous distributed scheme
Year: 2013
Type: preprint
Abstract: In this paper, we define the general framework to describe the diffusion operators associated to a positive matrix. We define the equations associated to diffusion operators and present some general properties of their state vectors. We show how this can be applied to prove and improve the convergence of a fixed point problem associated to the matrix iteration scheme, including for distributed computation framework. The approach can be understood as a decomposition of the matrix-vector product operation in elementary operations at the vector entry level.
Source: arXiv (Cornell University)
Authors: Hong, Dohy, Mathieu, Fabien, Burnside, Gérard
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1805853086