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Computer Science > Computational Engineering, Finance, and Science

arXiv:0910.0663 (cs)
[Submitted on 5 Oct 2009 (v1), last revised 9 Dec 2010 (this version, v7)]

Title:Transmission line inspires a new distributed algorithm to solve linear system of circuit

Authors:Fei Wei, Huazhong Yang
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Abstract:Transmission line, or wire, is always troublesome to integrated circuits designers, but it could be helpful to parallel computing researchers. This paper proposes the Virtual Transmission Method (VTM), which is a new distributed and stationary iterative algorithm to solve the linear system extracted from circuit. It tears the circuit by virtual transmission lines to achieve distributed computing. For the symmetric positive definite (SPD) linear system, VTM is proved to be convergent. For the unsymmetrical linear system, numerical experiments show that VTM is possible to achieve better convergence property than the traditional stationary algorithms. VTM could be accelerated by some preconditioning techniques, and the convergence speed of VTM is fast when its preconditioner is properly chosen.
Comments: This work was finished in Nov 2007. Recently we are preparing it for IEEE Trans. CAD. More info, see my web page at this http URL
Subjects: Computational Engineering, Finance, and Science (cs.CE); Distributed, Parallel, and Cluster Computing (cs.DC); Mathematical Software (cs.MS); Numerical Analysis (math.NA)
MSC classes: 65F10, 65F50, 68M14
ACM classes: G.1.0; B.7.2
Cite as: arXiv:0910.0663 [cs.CE]
  (or arXiv:0910.0663v7 [cs.CE] for this version)
  https://doi.org/10.48550/arXiv.0910.0663

Submission history

From: Fei Wei [view email]
[v1] Mon, 5 Oct 2009 03:08:43 UTC (839 KB)
[v2] Wed, 25 Nov 2009 09:42:47 UTC (302 KB)
[v3] Mon, 26 Apr 2010 09:17:58 UTC (565 KB)
[v4] Mon, 28 Jun 2010 06:48:46 UTC (389 KB)
[v5] Tue, 7 Sep 2010 23:43:49 UTC (346 KB)
[v6] Sun, 31 Oct 2010 02:42:32 UTC (506 KB)
[v7] Thu, 9 Dec 2010 08:33:24 UTC (595 KB)
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