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.

Keywords for this software

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References in zbMATH (referenced in 109 articles , 1 standard article )

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  1. Anguas, Luis Miguel; Bueno, Maria Isabel; Dopico, Froilán M.: Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations (2020)
  2. Bevilacqua, Roberto; Del Corso, Gianna M.; Gemignani, Luca: Fast QR iterations for unitary plus low rank matrices (2020)
  3. Campos, Carmen; Roman, Jose E.: A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation (2020)
  4. Chen, Hongjia; Du, Lei: Backward error bounds for polynomial eigenvalue problem solved by a Rayleigh-Ritz type contour integral-based eigensolver (2020)
  5. De Terán, Fernando: Backward error and conditioning of Fiedler companion linearizations (2020)
  6. Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo; Van Dooren, Paul: Geometry of matrix polynomial spaces (2020)
  7. Hochstenbach, Michiel E.; Plestenjak, Bor: Computing several eigenvalues of nonlinear eigenvalue problems by selection (2020)
  8. Malyshev, Alexander; Sadkane, Miloud: Computing the distance to continuous-time instability of quadratic matrix polynomials (2020)
  9. Melman, A.: Directional bounds for polynomial zeros and eigenvalues (2020)
  10. Pandur, Marija Miloloža: Detecting a hyperbolic quadratic eigenvalue problem by using a subspace algorithm (2020)
  11. Alam, Rafikul; Safique Ahmad, Sk.: Sensitivity analysis of nonlinear eigenproblems (2019)
  12. Aurentz, Jared; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S.: Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials (2019)
  13. Jarlebring, Elias: Broyden’s method for nonlinear eigenproblems (2019)
  14. Korosteleva, D. M.; Solov’ev, P. S.; Solov’ev, S. I.: Finite element approximation of the minimal eigenvalue and the corresponding positive eigenfunction of a nonlinear Sturm-Liouville problem (2019)
  15. Melman, A.: Polynomial eigenvalue bounds from companion matrix polynomials (2019)
  16. Melman, A.: Extensions of the Eneström-Kakeya theorem for matrix polynomials (2019)
  17. Nakatsukasa, Yuji; Noferini, Vanni: Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems (2019)
  18. Pandur, Marija Miloloža: Preconditioned gradient iterations for the eigenproblem of definite matrix pairs (2019)
  19. Samsonov, A. A.; Solov’ev, P. S.; Solov’ev, S. I.; Korosteleva, D. M.: Error of the finite element approximation for a differential eigenvalue problem with nonlinear dependence on the spectral parameter (2019)
  20. Seeger, Alberto: Cone-constrained rational eigenvalue problems (2019)

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