Abstract
This chapter tries on a fast Ethernet to develop a parallel preconditioned conjugate gradient (PCG) algorithm as an independent solver of linear system of equations. A parallel PCG strategy is given through modification of an existing scheme. Cluster technology leads parallel computation to a new stage, and dramatically increases the transferability of parallel algorithms. A parallel PCG strategy is programmed on the parallel virtual machine (PVM) platform, and the local area network is composed of 5 Pentium PCs connected by 100BASE-TX Switching Hub. A PCG algorithm has been programmed with three preconditioning versions: first, is no preconditioning; the other two are Jacobian and block Jacobian preconditioning. This chapter closes with examples illustrating the time distribution and the speedup of the developed algorithm.
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