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 121 articles , 1 standard article )

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  1. Amparan, A.; Marcaida, S.; Zaballa, I.: Spectral filters connecting high order systems (2021)
  2. Benner, Peter; Liang, Xin; Miodragović, Suzana; Truhar, Ninoslav: Relative perturbation theory for quadratic Hermitian eigenvalue problems (2021)
  3. Chen, Xiao-Ping; Wei, Wei; Pan, Xiao-Ming: Modified successive approximation methods for the nonlinear eigenvalue problems (2021)
  4. De Terán, Fernando; Hernando, Carla; Pérez, Javier: Structured strong (\ell)-ifications for structured matrix polynomials in the monomial basis (2021)
  5. Gander, W.: New algorithms for solving nonlinear eigenvalue problems (2021)
  6. Iyaniwura, Sarafa A.; Ward, Michael J.: Synchrony and oscillatory dynamics for a 2-d PDE-ODE model of diffusion-mediated communication between small signaling compartments (2021)
  7. Ringh, Emil; Jarlebring, Elias: Nonlinearizing two-parameter eigenvalue problems (2021)
  8. Tisseur, Françoise; Van Barel, Marc: Min-max elementwise backward error for roots of polynomials and a corresponding backward stable root finder (2021)
  9. Anguas, Luis Miguel; Bueno, Maria Isabel; Dopico, Froilán M.: Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations (2020)
  10. Bevilacqua, Roberto; Del Corso, Gianna M.; Gemignani, Luca: Fast QR iterations for unitary plus low rank matrices (2020)
  11. Campos, Carmen; Roman, Jose E.: A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation (2020)
  12. Chen, Hongjia; Du, Lei: Backward error bounds for polynomial eigenvalue problem solved by a Rayleigh-Ritz type contour integral-based eigensolver (2020)
  13. 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)
  14. De Terán, Fernando: Backward error and conditioning of Fiedler companion linearizations (2020)
  15. De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M.: Generic symmetric matrix polynomials with bounded rank and fixed odd grade (2020)
  16. Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo; Van Dooren, Paul: Geometry of matrix polynomial spaces (2020)
  17. Hochstenbach, Michiel E.; Plestenjak, Bor: Computing several eigenvalues of nonlinear eigenvalue problems by selection (2020)
  18. Malyshev, Alexander; Sadkane, Miloud: Computing the distance to continuous-time instability of quadratic matrix polynomials (2020)
  19. Melman, A.: Directional bounds for polynomial zeros and eigenvalues (2020)
  20. Melman, A.: Refinement of Pellet radii for matrix polynomials (2020)

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