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

Server for symmetric eigenvalues that allows the computation of only the eigenvalues in a given range and (optionally) their corresponding eigenvectors. More...

#include <rw/lapack/seigsrv.h>

Inheritance diagram for RWSymRangeEigServer< TypeT >:

List of all members.

Public Member Functions
	RWSymRangeEigServer (bool computeVecs=true)
virtual RWSymEigDecomp< TypeT >	decompose (const RWTriDiagDecomp< TypeT > &A)
TypeT	setTolerance (TypeT tolerance)
void	setRange (TypeT from, TypeT to)
TypeT	setSmall (TypeT small)
TypeT	setLarge (TypeT large)
virtual bool	computeEigenVectors () const
void	computeEigenVectors (bool computeVecs)

---

Detailed Description

template<class TypeT>
class RWSymRangeEigServer< TypeT >

The symmetric eigenvalue server class, RWSymRangeEigServer<T> , allows the computation of only the eigenvalues in a given range and (optionally) their corresponding eigenvectors. The computation uses the bisection method to find the eigenvalues, followed by inverse iteration to find the eigenvectors.

Synopsis

 #include <rw/lapack/seigsrv.h>
 
 RWSymRangeEigServer<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;
 
     RWSymRangeEigServer<double> server;    // configure a server
     server.setRange(0.0, 0.5);             // Set the range from 0.0 to 0.5
     RWSymEigDecomp<double> eig = server(A);

     return 0;
 }

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Constructor & Destructor Documentation

template<class TypeT>

RWSymRangeEigServer< TypeT >::RWSymRangeEigServer

(

bool

computeVecs = true

)

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

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Member Function Documentation

template<class TypeT>

void RWSymRangeEigServer< TypeT >::computeEigenVectors

(

bool

computeVecs

)

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

template<class TypeT>

virtual bool RWSymRangeEigServer< 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> RWSymRangeEigServer< TypeT >::decompose

(

const RWTriDiagDecomp< TypeT > &

A

)

[virtual]

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

Implements RWSymEigServer< TypeT >.

template<class TypeT>

TypeT RWSymRangeEigServer< TypeT >::setLarge

(

TypeT

large

)

Sets the upper boundary on the range of eigenvalues to be computed. Returns the previous upper boundary.

template<class TypeT>

void RWSymRangeEigServer< TypeT >::setRange	(	TypeT	from,
		TypeT	to
	)

Sets the range of eigenvalues to be computed. To set up a range which is open on one side (extends to infinity), you can use the setSmall() or setLarge() functions.

template<class TypeT>

TypeT RWSymRangeEigServer< TypeT >::setSmall

(

TypeT

small

)

Sets the lower boundary on the range of eigenvalues to be computed. Returns the previous lower boundary.

template<class TypeT>

TypeT RWSymRangeEigServer< TypeT >::setTolerance

(

TypeT

tolerance

)

Sets the tolerance to which you must compute the eigenvalues. Returns the previous tolerance.