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.


References in zbMATH (referenced in 514 articles , 1 standard article )

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  1. Adachi, Satoru; Nakatsukasa, Yuji: Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint (2019)
  2. Chen, Xiao Shan; Vong, Seak-Weng; Li, Wen; Xu, Hongguo: Noda iterations for generalized eigenproblems following Perron-Frobenius theory (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. Bai, Zhaojun; Lu, Ding; Vandereycken, Bart: Robust Rayleigh quotient minimization and nonlinear eigenvalue problems (2018)
  7. Bergamaschi, Luca; Bozzo, Enrico: Computing the smallest eigenpairs of the graph Laplacian (2018)
  8. Greenbaum, Anne; Kyanfar, Faranges; Salemi, Abbas: On the convergence rate of DGMRES (2018)
  9. Jarlebring, E.; Koskela, A.; Mele, G.: Disguised and new quasi-Newton methods for nonlinear eigenvalue problems (2018)
  10. Krämer, Lukas; Lang, Bruno: Convergence of integration-based methods for the solution of standard and generalized Hermitian eigenvalue problems (2018)
  11. Kressner, Daniel; Luce, Robert: Fast computation of the matrix exponential for a Toeplitz matrix (2018)
  12. Lin, Matthew M.; Chiang, Chun-Yueh: An iterative method for solving the stable subspace of a matrix pencil and its application (2018)
  13. Mele, Giampaolo; Jarlebring, Elias: On restarting the tensor infinite Arnoldi method (2018)
  14. Miao, Cun-Qiang: Computing eigenpairs in augmented Krylov subspace produced by Jacobi-Davidson correction equation (2018)
  15. Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan: Damping optimization of parameter dependent mechanical systems by rational interpolation (2018)
  16. Xue, Fei: A block preconditioned harmonic projection method for large-scale nonlinear eigenvalue problems (2018)
  17. Yang, Liu; Sun, Yuquan; Gong, Fanghui: The inexact residual iteration method for quadratic eigenvalue problem and the analysis of convergence (2018)
  18. Zhang, Lei-Hong; Shen, Chungen; Yang, Wei Hong; Júdice, Joaquim J.: A Lanczos method for large-scale extreme Lorentz eigenvalue problems (2018)
  19. Zhao, Tao: A convergence analysis of the inexact simplified Jacobi-Davidson algorithm for polynomial eigenvalue problems (2018)
  20. Adachi, Satoru; Iwata, Satoru; Nakatsukasa, Yuji; Takeda, Akiko: Solving the trust-region subproblem by a generalized eigenvalue problem (2017)

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