English

Directed Transmission Method, A Fully Asynchronous approach to Solve Sparse Linear Systems in Parallel

Numerical Analysis 2010-09-09 v5 Distributed, Parallel, and Cluster Computing

Abstract

In this paper, we propose a new distributed algorithm, called Directed Transmission Method (DTM). DTM is a fully asynchronous and continuous-time iterative algorithm to solve SPD sparse linear system. As an architecture-aware algorithm, DTM could be freely running on all kinds of heterogeneous parallel computer. We proved that DTM is convergent by making use of the final-value theorem of Laplacian Transformation. Numerical experiments show that DTM is stable and efficient.

Keywords

Cite

@article{arxiv.0810.3783,
  title  = {Directed Transmission Method, A Fully Asynchronous approach to Solve Sparse Linear Systems in Parallel},
  author = {Fei Wei and Huazhong Yang},
  journal= {arXiv preprint arXiv:0810.3783},
  year   = {2010}
}

Comments

v1: poster presented in SPAA'08; v2: full paper; v3: rename EVS to GNBT; v4: reuse EVS. More info, see my web page at http://weifei00.googlepages.com

R2 v1 2026-06-21T11:33:17.872Z