NLEVP

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.


References in zbMATH (referenced in 53 articles , 1 standard article )

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  1. Betcke, Marta M.; Voss, Heinrich: Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property (2017)
  2. Dmytryshyn, Andrii: Structure preserving stratification of skew-symmetric matrix polynomials (2017)
  3. Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof: The waveguide eigenvalue problem and the tensor infinite Arnoldi method (2017)
  4. Målqvist, Axel; Peterseim, Daniel: Generalized finite element methods for quadratic eigenvalue problems (2017)
  5. Xiao, Jinyou; Zhou, Hang; Zhang, Chuanzeng; Xu, Chao: Solving large-scale finite element nonlinear eigenvalue problems by resolvent sampling based Rayleigh-Ritz method (2017)
  6. Alam, Rafikul; Behera, Namita: Linearizations for rational matrix functions and rosenbrock system polynomials (2016)
  7. Bini, Dario A.; Robol, Leonardo: On a class of matrix pencils and $\ell$-ifications equivalent to a given matrix polynomial (2016)
  8. Campos, Carmen; Roman, Jose E.: Restarted Q-Arnoldi-type methods exploiting symmetry in quadratic eigenvalue problems (2016)
  9. Campos, Carmen; Roman, Jose E.: Parallel Krylov solvers for the polynomial eigenvalue problem in SLEPc (2016)
  10. Hinchcliffe, James; Strauss, Michael: Spectral enclosure and superconvergence for eigenvalues in gaps (2016)
  11. Melman, A.: Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials (2016)
  12. Solov’ev, Sergei I.: Eigenvibrations of a beam with elastically attached load (2016)
  13. Szyld, Daniel B.; Xue, Fei: Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I: Extreme eigenvalues (2016)
  14. Van Barel, Marc: Designing rational filter functions for solving eigenvalue problems by contour integration (2016)
  15. Van Barel, Marc; Kravanja, Peter: Nonlinear eigenvalue problems and contour integrals (2016)
  16. Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias: Numerical linear algebra methods for linear differential-algebraic equations (2015)
  17. Bindel, David; Hood, Amanda: Localization theorems for nonlinear eigenvalue problems (2015)
  18. Lawrence, Piers W.; Corless, Robert M.: Backward error of polynomial eigenvalue problems solved by linearization of Lagrange interpolants (2015)
  19. Noferini, Vanni; Poloni, Federico: Duality of matrix pencils, Wong chains and linearizations (2015)
  20. Noferini, Vanni; Sharify, Meisam; Tisseur, Françoise: Tropical roots as approximations to eigenvalues of matrix polynomials (2015)

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Further publications can be found at: http://www.mims.manchester.ac.uk/research/numerical-analysis/publications.php