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preconditioner of a matrix

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Old   June 18, 2006, 03:46
Default preconditioner of a matrix
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khaiching
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Dear colleagues: Any good reference that you can share with me regarding the way to construct the preconditioner of a coefficient matrix..?

TQ

-khai ching-
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Old   June 18, 2006, 05:59
Default Re: preconditioner of a matrix
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ch
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well, can you tell us what kind of matrix you are talking about?
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Old   June 18, 2006, 09:30
Default Re: preconditioner of a matrix
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khaiching
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a sparse matrix, typically arisen from the assembly of coefficient terms of the Pressure correction equation/others in incompressible CFD calculation.. I am trying to solve the entire matrix using the Preconditioned Conjugate Gradient Method.. However, I have no idea to construct the preconditioner.. Can you guys help me on this??

Thank you.

-khai ching-
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Old   June 18, 2006, 17:18
Default Re: preconditioner of a matrix
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Jonas Holdeman
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One reference for preconditioners is the book "Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods" from SIAM. It is inexpensive ($18/$14.14 SIAM members) and would be a useful addition to any library. Ordering information at http://www.netlib.org/templates. The text is available for free at http://www.netlib.org/templates/Templates.html.

There is a chapter on preconditioners. The book gives many algorithms (templates) from which you can code solvers and a few preconditioners in any language you want.

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Old   June 18, 2006, 21:07
Default Re: preconditioner of a matrix
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khai ching
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Thanks a lot Jonas.

-khai ching-
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