{type}SymPDQREigServer, DComplexHermPDQREigServer

• Data Type and Member Function Indexes
• Synopsis
• Description
• Example
• Public Constructor
• Public Member Functions
• Public Member Operator

Member Functions
DComplexHermPDQREigDecomp::operator()() DComplexHermPDQREigServer::computeEigenVectors() DComplexHermPDQREigServer::decompose() DComplexSymPDQREigDecomp::operator()()	DoubleSymPDQREigDecomp::operator()() DoubleSymPDQREigServer::computeEigenVectors() DoubleSymPDQREigServer::decompose() FloatSymPDQREigDecomp::operator() ()	FloatSymPDQREigDecomp::operator()() FloatSymPDQREigServer::computeEigenVectors() FloatSymPDQREigServer::decompose()

#include <rw/fseigsrv.h>          // FloatSymPDQREigServer
#include <rw/dseigsrv.h>          // DoubleSymPDQREigServer
#include <rw/cheigsrv.h>          // DComplexHermPDQREigServer

DoubleSymPDQREigServer server;
DoubleSymEigDecomp eig = server(A);     // A is a
                                        // DoubleSym[Band]Mat

The classes {TYPE}SymPDQREigServer and DComplexHermPDQREigServer are the servers for the positive definite QR method of computing eigenvalues. These servers apply only to matrices that you know are positive definite. Trying to use them on nonpositive definite matrices results in a decomposition with the incomplete flag set; you can test for this in the classes {TYPE}SymEigDecomp. Use of these servers with positive definite matrices can result in much more accurate eigenvalues and eigenvectors.

#include <rw/dseigsrv.h>

main()
{
    DoubleSymMat A;                     // input a matrix
    cin >> A;

    DoublePDQREigServer server;         // configure a server
    server.computeEigenVectors(FALSE);  // turn off eigenvectors
    DoubleSymEigDecomp eig = server(A);
}

FloatSymPDQREigServer(RWBoolean computeVecs=TRUE);
DoubleSymPDQREigServer(RWBoolean computeVecs=TRUE);
DComplexHermPDQREigServer(RWBoolean computeVecs=TRUE);

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

void
FloatSymPDQREigServer::computeEigenVectors(RWBoolean);
void
DoubleSymPDQREigServer::computeEigenVectors(RWBoolean);
void
DComplexHermPDQREigServer::computeEigenVectors(RWBoolean);

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

RWBoolean
FloatSymPDQREigServer::computeEigenVectors() const;
RWBoolean
DoubleSymPDQREigServer::computeEigenVectors() const;
RWBoolean
DComplexHermPDQREigServer::computeEigenVectors() const;

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

FloatSymEigDecomp
FloatSymPDQREigServer::decompose
      (const FloatSymTriDiagDecomp& A) const
DoubleSymEigDecomp
DoubleSymPDQREigServer::decompose
      (const DoubleSymTriDiagDecomp& A) const
DoubleSymEigDecomp
DComplexHermPDQREigServer::decompose
      (const DoubleSymTriDiagDecomp& A) const

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

FloatSymEigDecomp       FloatSymPDQREigDecomp::operator()
                         (const FloatSymMat& A) const;
FloatSymEigDecomp       FloatSymPDQREigDecomp::operator()
                         (const FloatSymBandMat& A) const;
DoubleSymEigDecomp      DoubleSymPDQREigDecomp::operator()
                         (const DoubleSymMat& A) const;
DoubleSymEigDecomp      DoubleSymPDQREigDecomp::operator()
                         (const DoubleSymBandMat& A) const;
DComplexSymEigDecomp    DComplexSymPDQREigDecomp::operator()
                         (const DComplexSymMat& A) const;
DComplexHermEigDecomp   DComplexHermPDQREigDecomp::operator()
                         (const DComplexHermBandMat& A) const;

Computes a symmetric eigenvalue decomposition. The matrix you pass in must be positive definite.

©Copyright 1999, Rogue Wave Software, Inc.
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