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A parallel Lanczos method for symmetric generalized eigenvalue problems

Technical Report ·
OSTI ID:6955814
Lanczos algorithm is a very effective method for finding extreme eigenvalues of symmetric matrices. It requires less arithmetic operations than similar algorithms, such as, the Arnoldi method. In this paper, the authors present their parallel version of the Lanczos method for symmetric generalized eigenvalue problem, PLANSO. PLANSO is based on a sequential package called LANSO which implements the Lanczos algorithm with partial re-orthogonalization. It is portable to all parallel machines that support MPI and easy to interface with most parallel computing packages. Through numerical experiments, they demonstrate that it achieves similar parallel efficiency as PARPACK, but uses considerably less time.
Research Organization:
Lawrence Berkeley National Lab., Berkeley, CA (United States)
Sponsoring Organization:
DOE/ER; USDOE Office of Energy Research, Washington, DC (United States)
DOE Contract Number:
AC03-76SF00098
OSTI ID:
6955814
Report Number(s):
LBNL-41284; ON: DE98056100
Country of Publication:
United States
Language:
English