Jed,

?         A?x=b, where A?=[A^-1 U B]=
What does the notation above mean?

?  That means A? consists A^-1 and B.  A? is a sparse matrix at the order of 2 
million.  B = sparse matrix at the order of 2 million to be mixed and mingled 
with A^-1.
What are the dimensions and sparsity of each piece.

?  The dimension of A^-1 is about 225,000.  B is about 2 millions.


If you have an "inverse" floating around, what sort of operator is it the 
inverse of.

?  A is a double complex matrix we have generated from a practical application 
using FEM.

Jinquan
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