PlumX Metrics
Embed PlumX Metrics

A MODIFIED BLOCK PRECONDITIONER FOR COMPLEX SYMMETRIC INDEFINITE LINEAR SYSTEMS

Journal of Applied Analysis and Computation, ISSN: 2158-5644, Vol: 14, Issue: 1, Page: 182-196
2024
  • 0
    Citations
  • 0
    Usage
  • 0
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Article Description

To solve the real equivalent 2 × 2 block linear system of complex symmetric indefinite linear systems, by introducing a preconditioning matrix in the NB preconditioner (which was proposed in [Numerical Algorithm, 74 (2017) 889-903]), a modified block preconditioner is proposed. Compared with the NB one, when choose a suitable preconditioning matrix for the new preconditioner to get faster convergence than the NB preconditioner. The unconditional convergence of the new iteration method is discussed. The eigenvalue distribution and an upper bound of the degree of the minimal polynomial of the preconditioned matrix are given. Finally, a numerical example is carried out to demonstrate the effectiveness and robustness of the proposed preconditioner.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know