NLEVP: A Collection of Nonlinear Eigenvalue Problems

This MATLAB Toolbox provides a collection of nonlinear eigenvalue problems. It contains problems from models of real-life applications as well as problems constructed specifically to have particular properties. The toolbox is provided as a zip file and a tar file, which contain the MATLAB M-files and the documentation. Installation instructions are in the Users' Guide.

The collection is fully documented in

T. Betcke, N. J. Higham, V. Mehrmann, C. Schröder, and F. Tisseur, NLEVP: A Collection of Nonlinear Eigenvalue Problems, MIMS EPrint 2011.116, December 2011.

and

T. Betcke, N. J. Higham, V. Mehrmann, C. Schröder, and F. Tisseur, NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide, MIMS EPrint 2010.117, December 2011.

The collection will grow and contributions are welcome; see the report for details of how to contribute. To cite the collection please cite either this web page or the first technical report above. BibTeX entries for both are available.

About the toolbox

• The current release is version 3.0 of the toolbox, dated December 22, 2011.
• This release contains 52 problems (up from 46 in version 2.0) and new functionality; it is also now compatible with GNU Octave. See the User's Guide above for more details.
• The toolbox is distributed under the terms of the GNU General Public License (version 3 of the License, or any later version) as published by the Free Software Foundation.
• The toolbox has been tested under MATLAB 7.1 (R14) up to R2011b. It does not work with versions 6.5 (R13) and earlier of MATLAB, since it uses functionality introduced in MATLAB 7.0 (R14). It is compatible with GNU Octave.

Previous releases

• Version 2.0 of the toolbox, dated November 15, 2010, is available as a zip file and a tar file. The collection is fully documented in the technical report

  T. Betcke, N. J. Higham, V. Mehrmann, C. Schröder, and F. Tisseur, NLEVP: A Collection of Nonlinear Eigenvalue Problems, MIMS EPrint 2010.98, November 2010.

  and

  T. Betcke, N. J. Higham, V. Mehrmann, C. Schröder, and F. Tisseur, NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide, MIMS EPrint 2010.99, November 2010.

• Version 1.0 of the toolbox, dated April 4, 2008, is available as a zip file and a tar file. The associated documentation is The collection is fully documented in the technical report

  T. Betcke, N. J. Higham, V. Mehrmann, C. Schröder, and F. Tisseur, NLEVP: A Collection of Nonlinear Eigenvalue Problems, MIMS EPrint 2008.40, April 2008.

The authors

• Timo Betcke (University of Reading)
• Nick Higham (The University of Manchester)
• Volker Mehrmann (Technische Universität Berlin)
• Christian Schröder (Technische Universität Berlin)
• Françoise Tisseur (The University of Manchester)