Parallel algorithms of the Purcell method for direct solution of linear systems

In this paper, we first demonstrate that the classical Purcell's vector method when combined with row pivoting yields a consistently small growth factor in comparison to the well-known Gauss elimination method, the Gauss–Jordan method and the Gauss–Huard method with partial pivoting. We then present six parallel algorithms of the Purcell method that may be used for direct solution of linear systems. The algorithms differ in ways of pivoting and load balancing. We recommend algorithms V and VI for their reliability and algorithms III and IV for good load balance if local pivoting is acceptable. Some numerical results are presented.

Advanced product development integration architecture: an out-of-box solution to support distributed production networks

This paper presents novel collaboration methods implemented using a centralized client/server product development integration architecture, and a decentralized peer-to-peer network for smaller and larger companies using open source solutions. The product development integration architecture has been developed for the integration of disparate technologies and software systems for the benefit of collaborative work teams in design and manufacturing. This will facilitate the communication of early design and product development within a distributed and collaborative environment. The novelty of this work is the introduction of an‘out-of-box’ concept which provides a standard framework and deploys this utilizing a proprietary state-of-the-art product lifecycle management system (PLM). The term ‘out-of-box’ means to modify the product development and business processes to suit the technologies rather than vice versa. The key business benefits of adopting such an approach are a rapidly reconfigurable network and minimal requirements for software customization to avoid systems instability