RWSymRangeEigServer< TypeT > Class Template Reference

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 >:

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

Detailed Description

template<class TypeT>
class RWSymRangeEigServer< TypeT >

The symmetric eigenvalue server class, RWSymRangeEigServer, 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>

Example

#include <rw/lapack/seigsrv.h>
#include <iostream>
 
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;
}

Constructor & Destructor Documentation

RWSymRangeEigServer()

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.

Member Function Documentation

computeEigenVectors() [1/2]

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 >.

computeEigenVectors() [2/2]

template<class TypeT >

void RWSymRangeEigServer< TypeT >::computeEigenVectors

(

bool

computeVecs

)

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

decompose()

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 >.

setLarge()

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.

setRange()

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.

setSmall()

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.

setTolerance()

template<class TypeT >

TypeT RWSymRangeEigServer< TypeT >::setTolerance

(

TypeT

tolerance

)

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