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Java multithreading-based parallel approximate arrow-type inverses

✍ Scribed by George A. Gravvanis; Victor N. Epitropou

Book ID
102116506
Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
205 KB
Volume
20
Category
Article
ISSN
1532-0626

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✦ Synopsis

Abstract

A new parallel shared memory Java multithreaded design and implementation of the explicit approximate inverse preconditioning, for efficiently solving arrow‐type linear systems on symmetric multiprocessor systems (SMPs), is presented. A new parallel algorithm for computing a class of optimized approximate arrow‐type inverse matrix is introduced. The performance on an SMP, using Java multithreading, is investigated by solving arrow‐type linear systems and numerical results are given. The parallel performance of the construction of the optimized approximate inverse and the explicit preconditioned generalized conjugate gradient square scheme, using a dynamic workload scheduling, is also presented. Copyright © 2007 John Wiley & Sons, Ltd.

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✍ Elias A. Lipitakis 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 836 KB

Approximate inverse matrix semi-direct methods for solving numerically linear systems on parallel processors are presented. The derived first and second order iterative methods possessing a high level of parallelism are based on the multiple explicit Jacobi iteration and originated by the approximat