Thank you very much for your reply.
I probably understand the methods you mentioned, but there is no
multiplication vector behind the sparse matrix of the solution I asked for.
A=M- (N^T) (M^-1) N,
This is the construction equation of the original sparse matrix.
A is the sparse matrix that I want to get in the end, where N and M are
sparse matrices.
What else can you do to solve this problem?
Thank you
FU在 2018年11月14日星期三 UTC+8下午2:32:03，Jean-Paul Pelteret写道：
>
> Hi,
>
> To compute the sparse matrix inverse M^{-1} you would have to use a direct
> solver such as SparseDirectUMFPACK
> <https://dealii.org/9.0.0/doxygen/deal.II/classSparseDirectUMFPACK.html>.
> If this operation (M^{-1})N appears in the context of matrix-vector
> products, i.e. you’re actually computing something like y = (M^{-1})Nx then
> you could use an iterative solver
> <https://dealii.org/9.0.0/doxygen/deal.II/classSolverSelector.html> to
> invert the system My = (Nx) = b. Here you could be computing the solution y
> = M^{-1}b using an iterative method.
>
> I hope that this helps.
> Best,
> Jean-Paul
>
> On 14 Nov 2018, at 03:01, FU <fudany...@gmail.com <javascript:>> wrote:
>
> (M^-1)N,
> M and N are sparse matrix,
> so how to get the inverse of a sparse matrix?
>
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