File kernel/src/utils/SiconosAlgebra/EigenProblems.hpp

File kernel/src/utils/SiconosAlgebra/EigenProblems.hpp#

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Functions to compute eigenvalues/vectors of a matrix. Based on boost ublas bindings to lapack. Usage : see EigenProblemsTest.cpp.

namespace siconos
namespace eigenproblems#

Functions

int syev(SiconosVector &eigenval, SiconosMatrix &eigenvec, bool withVect = true)#

Compute eigenvalues and eigenvectors of a real symmetric matrix A See examples of use in test/EigenProblemsTest.cpp.

Parameters:

  • eigenval – [inout] : eigenvalues of the matrix

  • eigenvec – [inout] : input matrix A, replace with eigenvectors (columns) in output.

  • withVect – [in] : true if eigenvectors are to be computed (default = true). eigenvector.

Returns:

int : return value from lapack routine. 0 if successful.

int geev(SiconosMatrix &input_mat, complex_vector &eigenval, complex_matrix &left_eigenvec, complex_matrix &right_eigenvec, bool withLeft = false, bool withRight = true)#

Compute eigenvalues and eigenvectors of a nonsymmetrix complex matrix See examples of use in test/EigenProblemsTest.cpp.

Parameters:

  • input_mat – [inout] SiconosMatrix : input matrix.

  • eigenval – [inout] complex_vector : eigenvalues of the matrix

  • left_eigenvec – [inout] complex_matrix : matrix of the left eigenvectors

  • right_eigenvec – [inout] complex_matrix : matrix of the right eigenvectors

  • withLeft – [in] : true if left eigenvectors are to be computed (default = false).

  • withRight – [in] : true if right eigenvectors are to be computed (default = true).

Returns:

int : return value from lapack routine. 0 if succesful.

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