JDQZ

Matlab® implementation of the JDQZ algorithm. The JDQZ algorithm can be used for computing a few selected eigenvalues with some desirable property together with the associated eigenvectors of a matrix pencil A-lambda*B. The matrices can be real or complex, Hermitian or non-Hermitian, .... The algorithm is effective especially in case A and B are sparse and of large size. The Jacobi-Davidson method is used to compute a partial generalized Schur decomposition of the pair (A,B). The decomposition leads to the wanted eigenpairs.

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References in zbMATH (referenced in 558 articles , 1 standard article )

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  1. Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor: Solving singular generalized eigenvalue problems by a rank-completing perturbation (2019)
  2. Huang, Ruihao; Mu, Lin: A new fast method of solving the high dimensional elliptic eigenvalue problem (2019)
  3. Huang, Wei-Qiang; Lin, Wen-Wei; Lu, Henry Horng-Shing; Yau, Shing-Tung: iSIRA: integrated shift-invert residual Arnoldi method for graph Laplacian matrices from big data (2019)
  4. Huhtanen, Marko; Kotila, Vesa: Optimal quotients for solving large eigenvalue problems (2019)
  5. Ismail, M. E. H.; Ranga, A. Sri: (R_II) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle (2019)
  6. Kim, Yunho: An unconstrained global optimization framework for real symmetric eigenvalue problems (2019)
  7. Kong, Yuan; Fang, Yong: Behavior of the correction equations in the Jacobi-Davidson method (2019)
  8. Liu, J.; Sun, J.; Turner, T.: Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem (2019)
  9. Maday, Yvon; Marcati, Carlo: Regularity and (hp) discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials (2019)
  10. Miao, Cun-Qiang: Filtered Krylov-like sequence method for symmetric eigenvalue problems (2019)
  11. Miao, Cun-Qiang; Liu, Hao: Rayleigh quotient minimization method for symmetric eigenvalue problems (2019)
  12. Pandur, Marija Miloloža: Preconditioned gradient iterations for the eigenproblem of definite matrix pairs (2019)
  13. Portal, Alberto; Zufiria, Pedro J.: On the minimum number of general or dedicated controllers required for system controllability (2019)
  14. Yin, Guojian: A harmonic FEAST algorithm for non-Hermitian generalized eigenvalue problems (2019)
  15. Yin, Guojian: On the non-Hermitian FEAST algorithms with oblique projection for eigenvalue problems (2019)
  16. Yin, Guojian: A contour-integral based method for counting the eigenvalues inside a region (2019)
  17. Yin, Guojian: A contour-integral based method with Schur-Rayleigh-Ritz procedure for generalized eigenvalue problems (2019)
  18. Zemaityte, Mante; Tisseur, Françoise; Kannan, Ramaseshan: Filtering frequencies in a shift-and-invert Lanczos algorithm for the dynamic analysis of structures (2019)
  19. Bai, Zhaojun; Lu, Ding; Vandereycken, Bart: Robust Rayleigh quotient minimization and nonlinear eigenvalue problems (2018)
  20. Bergamaschi, Luca; Bozzo, Enrico: Computing the smallest eigenpairs of the graph Laplacian (2018)

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