Basic HTML version of Foils prepared March 15 00

Foil 29 Red Black Parallel Gauss Seidel II

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


1 In red-black, you color every alternate point red and every other point black
2 This gives a checkerboard pattern shown on previous foil
3 Now label update so first update all red points, then update all black points
4 Updating red points to iterate k only requires black points at level k-1
5 Updating black points to level k requires NO black points but just read points at level k
6 So can divide parallel update into two phases
  • Phase I: Update all Red Points
  • Phase II: Update all Black Points

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