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 610 articles , 1 standard article )

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  1. Brandts, J. H.: Matlab code for sorting real Schur forms. (2002)
  2. Dumas, J.-G.; Gautier, T.; Giesbrecht, M.; Giorgi, P.; Hovinen, B.; Kaltofen, E.; Saunders, B. D.; Turner, W. J.; Villard, G.: LinBox: A generic library for exact linear algebra (2002)
  3. Golub, Gene H.; Ye, Qiang: An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems (2002)
  4. Graham, Ivan G.; Spence, Alastair; Vainikko, Eero: Parallel iterative methods for Navier-Stokes equations and application to stability assessment (2002)
  5. Hochstenbach, Michiel E.; Plestenjak, Bor: A Jacobi--Davidson type method for a right definite two-parameter eigenvalue problem (2002)
  6. Jia, Zhongxiao: The refined harmonic Arnoldi method and an implicitly restarted refined algorithm for computing interior eigenpairs of large matrices (2002)
  7. Liang, Jing; Ding, Zhi: Multiuser channel estimation from higher-order statistical matrix pencil (2002)
  8. Lundström, Eva; Eldén, Lars: Adaptive eigenvalue computations using Newton’s method on the Grassmann manifold (2002)
  9. Notay, Y.: Combination of Jacobi--Davidson and conjugate gradients for the partial symmetric eigenproblem. (2002)
  10. Sorensen, D. C.; Antoulas, A. C.: The Sylvester equation and approximate balanced reduction (2002)
  11. Stathopoulos, Andreas: A case for a biorthogonal Jacobi--Davidson method: Restarting and correction equation (2002)
  12. Trendafilov, Nickolay T.; Lippert, Ross A.: The multimode Procrustes problem (2002)
  13. van den Eshof, Jasper: The convergence of Jacobi-Davidson iterations for Hermitian eigenproblems. (2002)
  14. Voss, H.: A projection method for a rational eigenvalue problem in fluid-structure interaction (2002)
  15. Dijkstra, Henk A.; Oksuzoglu, Hakan; Wubs, Fred. W.; Botta, Eugen F. F.: A fully implicit model of the three-dimensional thermohaline ocean circulation (2001)
  16. Freund, Roland W.: Computation of matrix-valued formally orthogonal polynomials and applications (2001)
  17. Im, Eun-Jin; Yelick, Katherine: Optimizing sparse matrix computations for register reuse in SPARSITY (2001)
  18. Jia, Zhongxiao: Residuals of refined projection methods for large matrix eigenproblems (2001)
  19. Jia, Zhongxiao; Stewart, G. W.: An analysis of the Rayleigh-Ritz method for approximating eigenspaces (2001)
  20. Knyazev, Andrew V.: Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method (2001)

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