Basic HTML version of Foils prepared March 15 00

Foil 27 Red Black Parallel Gauss Seidel I

From Collection of Extra Foils for CPS615 PDE Iterative Solution Discussion CPS615 Spring Semester 00 -- March 00. by Geoffrey C. Fox


The Pipeline method has high communication costs (as will in fact use "block cyclic" to preserve locality) and is complex to implement well
Thus instead we note that we can get new versions of Gauss Seidel by reordering update order -- this could (in principle) make for a better or worse method (or more likely we won't know if better or worse!)
There is a natural reordering which is typically as good if not better for which parallelism is "trivial"
This ONLY works for nearest neighbor stencil but there are versions of red black for similar stencils



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