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From: "Tim Davis" <davis@cise.ufl.edu>
Newsgroups: comp.soft-sys.matlab
Subject: Re: Inverse of Large Sparse Matrix
Date: Sun, 15 Jul 2007 18:52:52 +0000 (UTC)
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The solution to your problem is not attempt to solve it ...

"Never" invert a matrix, particularly a large sparse one.

See http://blogs.mathworks.com/loren/2007/05/16/purpose-of-inv/ and the comments there for more details.