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 68 articles , 1 standard article )

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  1. Araujo-Cabarcas, Juan Carlos; Engström, Christian; Jarlebring, Elias: Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map (2018)
  2. Yang, Liu; Sun, Yuquan; Gong, Fanghui: The inexact residual iteration method for quadratic eigenvalue problem and the analysis of convergence (2018)
  3. Barkatou, Moulay; Boito, Paola; Segura Ugalde, Esteban: A contour integral approach to the computation of invariant pairs (2017)
  4. Betcke, Marta M.; Voss, Heinrich: Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property (2017)
  5. Dmytryshyn, Andrii: Structure preserving stratification of skew-symmetric matrix polynomials (2017)
  6. Güttel, Stefan; Tisseur, Françoise: The nonlinear eigenvalue problem (2017)
  7. Jarlebring, Elias; Mele, Giampaolo; Runborg, Olof: The waveguide eigenvalue problem and the tensor infinite Arnoldi method (2017)
  8. Målqvist, Axel; Peterseim, Daniel: Generalized finite element methods for quadratic eigenvalue problems (2017)
  9. Samsonov, Anton A.; Solov’ev, Sergei I.: Eigenvibrations of a beam with load (2017)
  10. Solov’ev, S.I.: Quadrature finite element method for elliptic eigenvalue problems (2017)
  11. Wang, Xiang; Tang, Xiao-Bin; Mao, Liang-Zhi: A modified second-order Arnoldi method for solving the quadratic eigenvalue problems (2017)
  12. Xiao, Jinyou; Zhang, Chuanzeng; Huang, Tsung-Ming; Sakurai, Tetsuya: Solving large-scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh-Ritz method (2017)
  13. Xiao, Jinyou; Zhou, Hang; Zhang, Chuanzeng; Xu, Chao: Solving large-scale finite element nonlinear eigenvalue problems by resolvent sampling based Rayleigh-Ritz method (2017)
  14. Alam, Rafikul; Behera, Namita: Linearizations for rational matrix functions and Rosenbrock system polynomials (2016)
  15. Bini, Dario A.; Robol, Leonardo: On a class of matrix pencils and $\ell$-ifications equivalent to a given matrix polynomial (2016)
  16. Campos, Carmen; Roman, Jose E.: Restarted Q-Arnoldi-type methods exploiting symmetry in quadratic eigenvalue problems (2016)
  17. Campos, Carmen; Roman, Jose E.: Parallel Krylov solvers for the polynomial eigenvalue problem in SLEPc (2016)
  18. Campos, Carmen; Roman, Jose E.: Parallel iterative refinement in polynomial eigenvalue problems. (2016)
  19. Engström, Christian; Giani, Stefano; Grubišić, Luka: Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications (2016)
  20. Garrett, C.Kristopher; Bai, Zhaojun; Li, Ren-Cang: A nonlinear QR algorithm for banded nonlinear eigenvalue problems (2016)

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