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 83 articles , 1 standard article )

Showing results 1 to 20 of 83.
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  1. Aurentz, Jared; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S.: Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials (2019)
  2. Melman, A.: Polynomial eigenvalue bounds from companion matrix polynomials (2019)
  3. Araujo-Cabarcas, Juan Carlos; Engström, Christian; Jarlebring, Elias: Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map (2018)
  4. Elias Jarlebring, Max Bennedich, Giampaolo Mele, Emil Ringh, Parikshit Upadhyaya: NEP-PACK: A Julia package for nonlinear eigenproblems - v0.2 (2018) arXiv
  5. Jarlebring, E.; Koskela, A.; Mele, G.: Disguised and new quasi-Newton methods for nonlinear eigenvalue problems (2018)
  6. Lietaert, Pieter; Meerbergen, Karl; Tisseur, Françoise: Compact two-sided Krylov methods for nonlinear eigenvalue problems (2018)
  7. Mele, Giampaolo; Jarlebring, Elias: On restarting the tensor infinite Arnoldi method (2018)
  8. Melman, A.: Eigenvalue bounds for matrix polynomials in generalized bases (2018)
  9. Solov’ev, S. I.; Solov’ev, P. S.: Finite element approximation of the minimal eigenvalue of a nonlinear eigenvalue problem (2018)
  10. Xue, Fei: A block preconditioned harmonic projection method for large-scale nonlinear eigenvalue problems (2018)
  11. Yang, Liu; Sun, Yuquan; Gong, Fanghui: The inexact residual iteration method for quadratic eigenvalue problem and the analysis of convergence (2018)
  12. Zhao, Tao: A convergence analysis of the inexact simplified Jacobi-Davidson algorithm for polynomial eigenvalue problems (2018)
  13. Barkatou, Moulay; Boito, Paola; Segura Ugalde, Esteban: A contour integral approach to the computation of invariant pairs (2017)
  14. Betcke, Marta M.; Voss, Heinrich: Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property (2017)
  15. Boito, P.; Eidelman, Y.; Gemignani, L.: A real QZ algorithm for structured companion pencils (2017)
  16. Chen, Hongjia; Maeda, Yasuyuki; Imakura, Akira; Sakurai, Tetsuya; Tisseur, Francoise: Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems (2017)
  17. Dmytryshyn, Andrii: Structure preserving stratification of skew-symmetric matrix polynomials (2017)
  18. Gaaf, Sarah W.; Jarlebring, Elias: The infinite bi-Lanczos method for nonlinear eigenvalue problems (2017)
  19. Güttel, Stefan; Tisseur, Françoise: The nonlinear eigenvalue problem (2017)
  20. Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof: The waveguide eigenvalue problem and the tensor infinite Arnoldi method (2017)

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