An Out-of-Core Eigen-Solver with OpenMP Parallel Scheme for Large Spare Damped System

Shen-Haw Ju, H. H. Hsu

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

An out-of-core block Lanczos method with the OpenMP parallel scheme was developed to solve large spare damped eigenproblems. The symmetric generalized eigenproblem is first solved using the block Lanczos method with the preconditioned conjugate gradient (PCG) method, and the condensed damped eigenproblem is then solved to obtain the complex eigenvalues. Since the PCG solvers and out-of-core schemes are used, a large-scale eigenproblem can be solved using minimal computer memory. The out-of-core arrays only need to be read once in each Lanczos iteration, so the proposed method requires little extra CPU time. In addition, the second-level OpenMP parallel computation in the PCG solver is suggested to avoid using a large block size that often increases the number of iterations needed to achieve convergence.

Original languageEnglish
Article number1950038
JournalInternational Journal of Computational Methods
Volume16
Issue number7
DOIs
Publication statusPublished - 2019 Nov 1

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Computational Mathematics

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