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Stabilised preconditioned bi-conjugate gradient (PBiCGStab)

Properties​

  • symmetric and asymmetric matrices
  • run-time selectable preconditioner
  • good parallel scaling

Usage​

solver          PBiCGStab;
preconditioner  <conditioner>;
relTol          <relative tolerance>;
tolerance       <absolute tolerance>;

Details​

Operation​

Computation cost​

Start-up

  • 1 matrix-vector multiply
  • 1 parallel reduction

Per iteration

  • 2 matrix-vector multiplies
  • 6 parallel reductions
  • and preconditioner - applied 2x

Further information​

Source code:

API:

References:

  • Van der Vorst 81
  • Barrett et al. 5