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Preconditioned Conjugate Gradient

A discussion of the Conjugate Gradient method is presented in Chapter 9 of the text. In class, we presented the following two algorithms for conjugate gradient (figure [*]) and preconditioned conjugate gradient (figure [*]).


  
Figure: Iterative part of the conjugate gradient (CG) algorithm.
\begin{figure}
\centerline{\psfig{file=CG.eps,width=5.0in}}
\end{figure}


  
Figure: Iterative part of the preconditioned conjugate gradient (PCG) algorithm
\begin{figure}
\centerline{\psfig{file=PCG.eps,width=5.0in}}
\end{figure}



George Karniadakis
2001-12-04