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May 5, 2020 at 14:50 vote accept Justin
May 5, 2020 at 14:50 comment added Justin Ah I understand now. Thanks, I’ll give it a shot
May 5, 2020 at 6:40 comment added Federico Poloni As you suspect, the formula for the inverse of a $2\times 2$ system only holds for scalars, not blocks; so your computations are invalid, unfortunately. But you are mis-interpreting my suggestion; don't try to compute that inverse symbolically. Take that $2N\times 2N$ matrix and pass it directly to your solver. That's your "only one inverse/solve operation"; the only catch is that the matrix you are going to pass to your solver is a bit larger. This won't be a huge issue, since the number of nonzeros has a more important role than the size when dealing with sparse matrices.
May 5, 2020 at 3:38 history edited Justin CC BY-SA 4.0
added 363 characters in body
May 5, 2020 at 3:07 history edited Justin CC BY-SA 4.0
Following up to an answer posted
May 4, 2020 at 8:47 answer added Federico Poloni timeline score: 1
May 4, 2020 at 5:20 history asked Justin CC BY-SA 4.0