From this page you can get a Matlab® implementation of the JDQR algorithm. The JDQR algorithm can be used for computing a few selected eigenvalues with some desirable property together with the associated eigenvectors of a matrix A. The matrix can be real or complex, Hermitian or non-Hermitian, .... The algorithm is effective especially in case A is sparse and of large size. The Jacobi-Davidson method is used to compute a partial Schur decomposition of A. The decomposition leads to the wanted eigenpairs.

References in zbMATH (referenced in 454 articles )

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  1. Rong, Xin; Niu, Ruiping; Liu, Guirong: Stability analysis of smoothed finite element methods with explicit method for transient heat transfer problems (2020)
  2. Adachi, Satoru; Nakatsukasa, Yuji: Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint (2019)
  3. Altmann, R.; Peterseim, D.: Localized computation of eigenstates of random Schrödinger operators (2019)
  4. Chen, Xiao Shan; Vong, Seak-Weng; Li, Wen; Xu, Hongguo: Noda iterations for generalized eigenproblems following Perron-Frobenius theory (2019)
  5. Goldenberg, Steven; Stathopoulos, Andreas; Romero, Eloy: A Golub-Kahan Davidson method for accurately computing a few singular triplets of large sparse matrices (2019)
  6. Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor: Solving singular generalized eigenvalue problems by a rank-completing perturbation (2019)
  7. Huang, Ruihao; Mu, Lin: A new fast method of solving the high dimensional elliptic eigenvalue problem (2019)
  8. 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)
  9. Huhtanen, Marko; Kotila, Vesa: Optimal quotients for solving large eigenvalue problems (2019)
  10. Ismail, M. E. H.; Ranga, A. Sri: (R_II) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle (2019)
  11. Liu, J.; Sun, J.; Turner, T.: Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem (2019)
  12. Portal, Alberto; Zufiria, Pedro J.: On the minimum number of general or dedicated controllers required for system controllability (2019)
  13. Yin, Guojian: A contour-integral based method for counting the eigenvalues inside a region (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. Zemaityte, Mante; Tisseur, Françoise; Kannan, Ramaseshan: Filtering frequencies in a shift-and-invert Lanczos algorithm for the dynamic analysis of structures (2019)
  17. Bai, Zhaojun; Lu, Ding; Vandereycken, Bart: Robust Rayleigh quotient minimization and nonlinear eigenvalue problems (2018)
  18. Bergamaschi, Luca; Bozzo, Enrico: Computing the smallest eigenpairs of the graph Laplacian (2018)
  19. Herrero, Henar; Maday, Yvon; Pla, Francisco: Reduced basis method applied to a convective stability problem (2018)
  20. Kressner, Daniel; Luce, Robert: Fast computation of the matrix exponential for a Toeplitz matrix (2018)

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