RWSymPDQREigServer< TypeT > Class Template Reference
[Symmetric Eigenvalue Decomposition]

Server for the positive definite QR method of computing eigenvalues. More...

#include <rw/lapack/seigsrv.h>

Inheritance diagram for RWSymPDQREigServer< TypeT >:

List of all members.

Public Member Functions
	RWSymPDQREigServer (bool computeVecs=true)
virtual RWSymEigDecomp< TypeT >	decompose (const RWTriDiagDecomp< TypeT > &A)
virtual bool	computeEigenVectors () const
void	computeEigenVectors (bool computeVecs)

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Detailed Description

template<class TypeT>
class RWSymPDQREigServer< TypeT >

The class RWSymPDQREigServer<T> is the server for the positive definite QR method of computing eigenvalues. This server applies only to matrices that you know are positive definite. Trying to use it on nonpositive definite matrices results in a decomposition with the incomplete flag set; you can test for this in the class RWSymEigDecomp<T> . Use of this server with positive definite matrices can result in much more accurate eigenvalues and eigenvectors.

Synopsis

 #include <rw/lapack/seigsrv.h>
 
 RWSymPDQREigServer<double> server;
 RWSymEigDecomp<double> eig = server(A);  // A is a RWSymBandMat<double>

Examples

 #include <iostream>
 #include <rw/lapack/seigsrv.h>
 
 int main()
 {
     RWSymMat<double> A;                     // input a matrix
     std::cin >> A;
 
     RWSymPDQREigServer<double> server;      // configure a server
     server.computeEigenVectors(false);      // turn off eigenvectors
     RWSymEigDecomp<double> eig = server(A);

     return 0;
 }

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Constructor & Destructor Documentation

template<class TypeT>

RWSymPDQREigServer< TypeT >::RWSymPDQREigServer

(

bool

computeVecs = true

)

Constructs a server. The parameter indicates whether this server should be configured to compute eigenvectors as well as eigenvalues.

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Member Function Documentation

template<class TypeT>

void RWSymPDQREigServer< TypeT >::computeEigenVectors

(

bool

computeVecs

)

Sets whether or not the server should compute eigenvectors as well as eigenvalues.

template<class TypeT>

virtual bool RWSymPDQREigServer< TypeT >::computeEigenVectors

(

)

const [virtual]

Returns true if this server is configured to compute eigenvectors as well as eigenvalues.

Implements RWSymEigServer< TypeT >.

template<class TypeT>

virtual RWSymEigDecomp<TypeT> RWSymPDQREigServer< TypeT >::decompose

(

const RWTriDiagDecomp< TypeT > &

A

)

[virtual]

Computes the eigenvalue decomposition of the tridiagonal matrix inside the tridiagonal decomposition.

Implements RWSymEigServer< TypeT >.