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May 31, 2018 at 9:59 comment added Kai Sorry for the hassle but I changed the question to make it more general, so parts of your answer don't exactly make sense now in the context of the question, if you have the time to update it.
May 31, 2018 at 9:57 comment added Kai Aha I have not really used ArrayFlatten, but that makes the problem relatively trivial to do then. Just Flatten/ArrayFlatten everything, use LinearSolve, then Partition. Okay that's not too bad, especially since the matrix doesn't need to be partitioned again. I wonder if such a problem has a name, I can't imagine this is uncommon.
May 31, 2018 at 9:54 comment added Henrik Schumacher More general block matrices can be converted to a a single large matrix with ArrayFlatten. In the end, such a task has to be done since LinearSolve uses external libraries which expect a matrix as input.
May 30, 2018 at 22:41 comment added Kai Thanks, while this does solve the problem (I wrote a similar code) I was hoping there might be a built in way to handle such problems.
May 29, 2018 at 22:50 history edited Henrik Schumacher CC BY-SA 4.0
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May 29, 2018 at 22:45 history answered Henrik Schumacher CC BY-SA 4.0