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Old   October 28, 2001, 14:25
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Can the Stone algorithm (Strongly Implicit Procedure, SIP) solve linear systems that are not strictly diagonal dominant? or are there any limitations as in the Gauss-Seidel or Jacobi algorithms where convergence is only assured for strictly diagonal dominant matrixes?. Thanks to all.
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Old   October 29, 2001, 08:55
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Hi Peter,

I don't think the requirement of diagonal dominance can be discounted for the SIP. SIP falls under the category of approximate LU factorization solvers.

I also looked up the paper by Schneider and Zedan on "Modified SIP", but didn't find any mention of diagonal dominance.

regards, chidu...
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Old   October 29, 2001, 14:52
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Without strong linear algebra background, I feel that perhaps one stay away from SIP if there is no diagonal dominance.

You can try looking at literature on Incomplete Cholesky and approximate inverses.
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