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EigenTridiagonalQR

Compute eigenvalues and eigenvectors of a symmetric tridiagonal matrix using the QR algorithm (lapack function STEV).

Computing for type matrix<double>

bool  matrix::EigenTridiagonalQR(
   ENUM_EIG_VALUES       jobv,               // compute eigenvectors or not
   vector&               eigen_values,       // vector of computed eigenvalues
   matrix&               eigen_vectors       // matrix of computed eigenvectors
   );

Computing for type matrix<float>

bool  matrixf::EigenTridiagonalQR(
   ENUM_EIG_VALUES       jobv,               // compute eigenvectors or not
   vectorf&              eigen_values,       // vector of computed eigenvalues
   matrixf&              eigen_vectors       // matrix of computed eigenvectors
   );

Parameters

jobv

[in]  ENUM_EIG_VALUES enumeration value which determines the method for computing eigenvectors.

eigen_values

[out] Vector of eigenvalues.

eigen_vectors

[out] Matrix of eigenvectors.

Return Value

Return true if successful, otherwise false in case of an error.

Note

Computation depends on the value of the jobv parameter.

When jobv = EIGVALUES_V, eigenvectors and eigenvalues are calculated.

If EIGVALUES_N is set, eigenvectors are not calculated. Only eigenvalues are computed.

The input must be a symmetric matrix in the tridiagonal form.

ENUM_EIG_VALUES

An enumeration that specifies whether to calculate eigenvectors.

ID

Description

EIGVALUES_V

Eigenvectors and eigenvalues are calculated.

EIGVALUES_N

Only eigenvalues are calculated, without vectors.