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Computation of the Eigenvectors of Imaginary Eigenvalues of Skew-Hamiltonian/Hamiltonian Matrix Pencils

This algorithm computes all eigenvectors corresponding to the imaginary eigenvalues of skew-Hamiltonian/Hamiltonian matrix pencils. This is efficiently achieved by using the generalized symplectic URV decomposition. A MEX file for calling the routine from Matlab has also been developed.

Authors

  • Peihong Jiang (University of Rochester, New York, USA)
  • Matthias Voigt (Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg)

Download

  • MB04BV.zip [1]

License and Usage

This software is published under the GNU General Public License, version 3. It is research code and there is no warranty for correctness of numerical results. If you use this code for your own work, then please cite the publications stated below.

Related Software

Reference

  • P. Jiang and M. Voigt. MB04BV – A FORTRAN 77 subroutine to compute the eigenvectors associated to the purely imaginary eigenvalues of skew-Hamiltonian/Hamiltonian matrix pencils [2]. SLICOT Working Note 2013-3, NICONET e. V., September 2013.
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