PRIMME

PRIMME: PReconditioned Iterative MultiMethod Eigensolver. Symmetric and Hermitian eigenvalue problems enjoy a remarkable theoretical structure that allows for efficient and stable algorithms for obtaining a few required eigenpairs. This is probably one of the reasons that enabled applications requiring the solution of symmetric eigenproblems to push their accuracy and thus computational demands to unprecedented levels. Materials science, structural engineering, and some QCD applications routinely compute eigenvalues of matrices of dimension more than a million; and often much more than that! Typically, with increasing dimension comes increased ill conditioning, and thus the use of preconditioning becomes essential.


References in zbMATH (referenced in 40 articles , 1 standard article )

Showing results 1 to 20 of 40.
Sorted by year (citations)

1 2 next

  1. Dax, Achiya: A cross-product approach for low-rank approximations of large matrices (2020)
  2. Kalantzis, Vassilis: A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems (2020)
  3. Nakatsukasa, Yuji: Sharp error bounds for Ritz vectors and approximate singular vectors (2020)
  4. Avron, Haim; Druinsky, Alex; Toledo, Sivan: Spectral condition-number estimation of large sparse matrices. (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. Huang, Jinzhi; Jia, Zhongxiao: On inner iterations of Jacobi-Davidson type methods for large SVD computations (2019)
  7. Ju, S. H.; Hsu, H. H.: An out-of-core eigen-solver with OpenMP parallel scheme for large spare damped system (2019)
  8. Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef: The eigenvalues slicing library (EVSL): algorithms, implementation, and software (2019)
  9. Mor-Yosef, Liron; Avron, Haim: Sketching for principal component regression (2019)
  10. Winkelmann, Jan; Springer, Paul; Di Napoli, Edoardo: ChASE: Chebyshev accelerated subspace iteration eigensolver for sequences of Hermitian eigenvalue problems (2019)
  11. Wu, Lingfei; Xue, Fei; Stathopoulos, Andreas: TRPL+K: thick-restart preconditioned Lanczos+K method for large symmetric eigenvalue problems (2019)
  12. Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef: Beyond automated multilevel substructuring: domain decomposition with rational filtering (2018)
  13. Ruipeng Li, Yuanzhe Xi, Lucas Erlandson, Yousef Saad: The Eigenvalues Slicing Library (EVSL): Algorithms, Implementation, and Software (2018) arXiv
  14. Xue, Fei: A block preconditioned harmonic projection method for large-scale nonlinear eigenvalue problems (2018)
  15. Gambhir, Arjun Singh; Stathopoulos, Andreas; Orginos, Kostas: Deflation as a method of variance reduction for estimating the trace of a matrix inverse (2017)
  16. Goldfarb, Donald; Mu, Cun; Wright, John; Zhou, Chaoxu: Using negative curvature in solving nonlinear programs (2017)
  17. Scott, Tony C.; Therani, Madhusudan; Wang, Xing M.: Data clustering with quantum mechanics (2017)
  18. Wu, Lingfei; Romero, Eloy; Stathopoulos, Andreas: PRIMME_SVDS: a high-performance preconditioned SVD solver for accurate large-scale computations (2017)
  19. Bajnok, Zoltan; Lajer, Marton: Truncated Hilbert space approach to the 2d (\phi^4) theory (2016)
  20. Kestyn, James; Polizzi, Eric; Tang, Ping Tak Peter: Feast eigensolver for non-Hermitian problems (2016)

1 2 next