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Feb 6, 2018 at 16:38 comment added Samrat Mukhopadhyay Well, I think that is one of the best ways to begin the study of $A^{-1}$, and since the OP did not make this expansion explicit, I posted this observation, in case this is required for further exploration.
Feb 6, 2018 at 16:26 comment added Michael Renardy I think that is what the OP meant by a "simple Neumann series."
Feb 6, 2018 at 13:59 history answered Samrat Mukhopadhyay CC BY-SA 3.0