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CORK Matlab toolbox

  • Author: Roel Van Beeumen
  • Date: October 2, 2018
  • Version: 0.3

Main files

  • cork.m: find a few eigenvalues and eigenvectors of a linearization pencil.
  • cork_lr.m: find a few eigenvalues and eigenvectors of a low rank linearization pencil.

Instructions can be found in the header of the files.

Examples

The examples contains the numerical experiments for a delay eigenvalue problem and the 'gun' problem. For running the latter one, the user should first install the NLEVP collection.

  • run_dde_norest.m
  • run_dde_rest.m
  • run_gun.m
  • run_gun_lr.m
  • run_gun_nleigs.m

Auxiliary files

  • plot_conv_eig.m
  • plot_dim.m
  • plot_dim_lr.m
  • plot_mem.m
  • plot_mem_lr.m

  • dde5000.mat

  • dde_residual.m
  • gun_init.m
  • gun_linearization.m
  • gun_residual.m
  • newtonapprox.m

Instructions can be found in the header of the files.

Paper

R. Van Beeumen, K. Meerbergen, and W. Michiels Compact rational Krylov methods for nonlinear eigenvalue problems SIAM Journal on Matrix Analysis and Applications, 36 (2), 820-838, 2015.

All scientific publications, for which the software has been used, must mention the use of the software, and must refer to the above publication.