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 137 articles , 1 standard article )

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  1. Bevilacqua, R.; Del Corso, G. M.; Gemignani, L.: Orthogonal iterations on companion-like pencils (2022)
  2. Cao, Zongqi; Wang, Xiang; Chen, Hongjia: On the conditioning for heavily damped quadratic eigenvalue problem solved by linearizations (2022)
  3. Chen, Haotian: On locating the zeros and poles of a meromorphic function (2022)
  4. Dmytryshyn, Andrii: Recovering a perturbation of a matrix polynomial from a perturbation of its first companion linearization (2022)
  5. Melman, Aaron: Polynomials whose zeros are powers of a given Polynomial’s zeros (2022)
  6. Pagacz, Patryk; Wojtylak, Michał: Random perturbations of matrix polynomials (2022)
  7. Pang, Xiangying; Sun, Jiguang; Zhang, Zhimin: FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses (2022)
  8. Ridgway, Wesley; Ward, Michael J.; Wetton, Brian T.: Quorum-sensing induced transitions between bistable steady-states for a cell-bulk ODE-PDE model with lux intracellular kinetics (2022)
  9. Sadkane, Miloud: Inexact inverse subspace iteration with preconditioning applied to quadratic matrix polynomials (2022)
  10. Alam, Rafikul; Ali, Jibrail: Perturbations of discrete spectra of holomorphic operator-valued functions (2021)
  11. Amparan, A.; Marcaida, S.; Zaballa, I.: Spectral filters connecting high order systems (2021)
  12. Benner, Peter; Fassbender, Heike; Saltenberger, Philip: A rational even-IRA algorithm for the solution of (T)-even polynomial eigenvalue problems (2021)
  13. Benner, Peter; Liang, Xin; Miodragović, Suzana; Truhar, Ninoslav: Relative perturbation theory for quadratic Hermitian eigenvalue problems (2021)
  14. Chan, Eunice Y. S.; Corless, Robert M.; Sevyeri, Leili Rafiee: Generalized standard triples for algebraic linearizations of matrix polynomials (2021)
  15. Chen, Hongjia; Du, Lei; Cao, Zongqi: Backward error analysis of linearizing-balancing strategies for heavily damped quadratic eigenvalue problem (2021)
  16. Chen, Hongjia; Xu, Kuan: On the backward error incurred by the compact rational Krylov linearization (2021)
  17. Chen, Xiao-Ping; Wei, Wei; Pan, Xiao-Ming: Modified successive approximation methods for the nonlinear eigenvalue problems (2021)
  18. De Terán, Fernando; Hernando, Carla; Pérez, Javier: Structured strong (\ell)-ifications for structured matrix polynomials in the monomial basis (2021)
  19. Gander, W.: New algorithms for solving nonlinear eigenvalue problems (2021)
  20. 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)

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