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We present data-flow solutions on a pipeline of transputers for banded and dense systems of linear equations using Gauss elimination and the GaussJordan method respectively. These implementations, written in occam, are especially effective when there is a continuous supply of right-hand sides to be solved with the same coefficient matrix. Attention is paid to both load balancing and resource handling within the processor elements of the pipeline.

Transputer data-flow solution for systems of linear equations