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Persistent URL http://purl.org/net/epubs/work/33885
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Record Id 33885
Title M131: a conjugate gradient algorithm implementation with energy-norm stopping criteria
Abstract We present an implementation of the preconditioned conjugate gradient method that is based on reverse communication to allow the user to incorporate his or her own matrixvector multiplication routine and preconditioning algorithm. Our implementation also includes new stopping criteria that take into account some recent results on the approximation of the energy norm of the error during the conjugate gradient iterative process. We present the results of several numerical tests that experimentally validate the effectiveness of the stopping criteria on defnite-element approximations of selected 2-D and 3D problems.
Organisation CCLRC , CSE , CSE-NAG
Keywords stopping criteria , Conjugate Gradient method
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Language English (EN)
Type Details URI(s) Local file(s) Year
Report RAL Technical Reports RAL-TR-2005-004. 2005. armaRAL2005004.pdf 2005