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Eigenvectors and solution to sparse linear system.

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Old   August 6, 2009, 21:13
Default Eigenvectors and solution to sparse linear system.
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Lets say i want to solve a system

Ax = b

A is sparse matrix.

consider a case where i know all the

eigenvalues and their corrosponding eigenvectors.

Using this information, what is the fastest cheapest way to solve
Ax = b

Any pointers would be appreciated. I know one way but that is slow.
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