Convergence and Performance of Synchronous and Asynchronous Parallel and Conventional Iterative Methods.
Abstract
Parallel and Sequential Iterative Methods for Linear and Nonlinear Systems. Much of the work on this topic concentrated on the convergence and rate of convergence of parallel asynchronized methods for solving linear systems arising, on the one hand, from the numerical solution to partial differential equations and, on the other hand, from least squares solution to rectangular systems which arise in application such as image reconstruction from incomplete tomographical data. The mathematics behind the analysis of these two applications of the asynchronized parallel methods is quite different. Recently they have been able to extend their convergence results to asynchronized methods for solving nonlinear systems. One application now consists of tomographic reconstruction from incomplete data where the image is constrained to lie in a bounded convex set such as an n dimensional box.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1991
- Accession Number
- ADA240286
Entities
People
- Michael Neumann
Organizations
- University of Connecticut