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 46 articles , 1 standard article )

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  1. Alam, Rafikul; Behera, Namita: Linearizations for rational matrix functions and rosenbrock system polynomials (2016)
  2. Bini, Dario A.; Robol, Leonardo: On a class of matrix pencils and $\ell$-ifications equivalent to a given matrix polynomial (2016)
  3. Campos, Carmen; Roman, Jose E.: Parallel Krylov solvers for the polynomial eigenvalue problem in SLEPc (2016)
  4. Hinchcliffe, James; Strauss, Michael: Spectral enclosure and superconvergence for eigenvalues in gaps (2016)
  5. Melman, A.: Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials (2016)
  6. Szyld, Daniel B.; Xue, Fei: Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I: Extreme eigenvalues (2016)
  7. Van Barel, Marc: Designing rational filter functions for solving eigenvalue problems by contour integration (2016)
  8. Van Barel, Marc; Kravanja, Peter: Nonlinear eigenvalue problems and contour integrals (2016)
  9. Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias: Numerical linear algebra methods for linear differential-algebraic equations (2015)
  10. Bindel, David; Hood, Amanda: Localization theorems for nonlinear eigenvalue problems (2015)
  11. Lawrence, Piers W.; Corless, Robert M.: Backward error of polynomial eigenvalue problems solved by linearization of Lagrange interpolants (2015)
  12. Noferini, Vanni; Poloni, Federico: Duality of matrix pencils, Wong chains and linearizations (2015)
  13. Noferini, Vanni; Sharify, Meisam; Tisseur, Françoise: Tropical roots as approximations to eigenvalues of matrix polynomials (2015)
  14. Szyld, Daniel B.; Vecharynski, Eugene; Xue, Fei: Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. II. Interior eigenvalues (2015)
  15. Szyld, Daniel B.; Xue, Fei: Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms (2015)
  16. Szyld, Daniel B.; Xue, Fei: Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms (2015)
  17. Taslaman, Leo: Strongly damped quadratic matrix polynomials (2015)
  18. Truhar, Ninoslav; Miodragović, Suzana: Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem (2015)
  19. Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim: Compact rational Krylov methods for nonlinear eigenvalue problems (2015)
  20. Brugiapaglia, Simone; Gemignani, Luca: On the simultaneous refinement of the zeros of H-palindromic polynomials (2014)

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