RWEigServer<T>

Module:  Linear Algebra   Group:  Nonsymmetric Eigenvalue Decomposition classes

Does not inherit

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Members

RWEigServer<T>::operator()()

#include <rw/lapack/eigsrv.h>

RWEigDecomp<double> eig = server(A);  // server is a
                               // RWEigServer<double>

The class RWEigServer<T> is an abstract base class for the nonsymmetric eigenvalue servers. For each precision, the Linear Algebra Module supplies two derived types:

• The class RWSchurEigServer<T> uses the Schur decomposition method to compute the eigenvalue decomposition.

• The class RWHessEigServer<T> computes the eigenvalues directly from the Hessenberg decomposition, then uses inverse iteration to find the desired eigenvectors. This server is most appropriate when only a few of the eigenvectors are required, about 20% or less.

The reason for having a base class for an eigenvalue server is to allow access to the eigenvalue decomposition objects, RWEigDecomp<T>, by the different servers. By making the base class a friend to the decomposition object, then providing protected member functions to access the internals of the RWEigDecomp<T> object, we effectively make all subclasses of RWEigServer<T> friends to the decomposition. This way, servers can be added in the future without changing the decomposition object code.

virtual RWEigDecomp<T>
RWEigServer<T>::operator()(const RWGenMat<T>& A);

Creates a decomposition using the server.

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