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Transmission line, or wire, is always troublesome to integrated circuitsdesigners, but it could be helpful to parallel computing researchers. Thispaper proposes the Virtual Transmission Method (VTM), which is a newdistributed and stationary iterative algorithm to solve the linear systemextracted from circuit. It tears the circuit by virtual transmission lines toachieve distributed computing. For the symmetric positive definite (SPD) linearsystem, VTM is proved to be convergent. For the unsymmetrical linear system,numerical experiments show that VTM is possible to achieve better convergenceproperty than the traditional stationary algorithms. VTM could be acceleratedby some preconditioning techniques, and the convergence speed of VTM is fastwhen its preconditioner is properly chosen.

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