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 114 articles , 1 standard article )

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  1. Amparan, A.; Marcaida, S.; Zaballa, I.: Spectral filters connecting high order systems (2021)
  2. Chen, Xiao-Ping; Wei, Wei; Pan, Xiao-Ming: Modified successive approximation methods for the nonlinear eigenvalue problems (2021)
  3. Anguas, Luis Miguel; Bueno, Maria Isabel; Dopico, Froilán M.: Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations (2020)
  4. Bevilacqua, Roberto; Del Corso, Gianna M.; Gemignani, Luca: Fast QR iterations for unitary plus low rank matrices (2020)
  5. Campos, Carmen; Roman, Jose E.: A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation (2020)
  6. Chen, Hongjia; Du, Lei: Backward error bounds for polynomial eigenvalue problem solved by a Rayleigh-Ritz type contour integral-based eigensolver (2020)
  7. Chen, Xiao-Ping; Wei, Wei; Yang, Xi; Liu, Hao; Pan, Xiao-Ming: Successive linear Newton interpolation methods for solving the large-scale nonlinear eigenvalue problems (2020)
  8. De Terán, Fernando: Backward error and conditioning of Fiedler companion linearizations (2020)
  9. De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M.: Generic symmetric matrix polynomials with bounded rank and fixed odd grade (2020)
  10. Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo; Van Dooren, Paul: Geometry of matrix polynomial spaces (2020)
  11. Hochstenbach, Michiel E.; Plestenjak, Bor: Computing several eigenvalues of nonlinear eigenvalue problems by selection (2020)
  12. Malyshev, Alexander; Sadkane, Miloud: Computing the distance to continuous-time instability of quadratic matrix polynomials (2020)
  13. Melman, A.: Directional bounds for polynomial zeros and eigenvalues (2020)
  14. Melman, A.: Refinement of Pellet radii for matrix polynomials (2020)
  15. Pandur, Marija Miloloža: Detecting a hyperbolic quadratic eigenvalue problem by using a subspace algorithm (2020)
  16. Alam, Rafikul; Safique Ahmad, Sk.: Sensitivity analysis of nonlinear eigenproblems (2019)
  17. Aurentz, Jared; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S.: Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials (2019)
  18. Jarlebring, Elias: Broyden’s method for nonlinear eigenproblems (2019)
  19. 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)
  20. Melman, A.: Polynomial eigenvalue bounds from companion matrix polynomials (2019)

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