TR2017-078

Recent implementations, applications, and extensions of the Locally Optimal Block Preconditioned Conjugate Gradient method (LOBPCG)


    •  Knyazev, A., "Recent implementations, applications, and extensions of the Locally Optimal Block Preconditioned Conjugate Gradient method (LOBPCG)", Householder Symposium on Numerical Linear Algebra, June 2017.
      BibTeX TR2017-078 PDF
      • @inproceedings{Knyazev2017jun,
      • author = {Knyazev, Andrew},
      • title = {Recent implementations, applications, and extensions of the Locally Optimal Block Preconditioned Conjugate Gradient method (LOBPCG)},
      • booktitle = {Householder Symposium on Numerical Linear Algebra},
      • year = 2017,
      • month = jun,
      • url = {https://www.merl.com/publications/TR2017-078}
      • }
  • Research Areas:

    Control, Optimization

Since introduction [A. Knyazev, Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method, SISC (2001) doi:10.1137/S1064827500366124] and efficient parallel implementation [A. Knyazev et al., Block locally optimal preconditioned eigenvalue xolvers (BLOPEX) in HYPRE and PETSc, SISC (2007) doi:10.1137/060661624], LOBPCG has been used is a wide range of applications in mechanics, material sciences, and data sciences. We review its recent implementations and applications, as well as extensions of the local optimality idea beyond standard eigenvalue problems.

 

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