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
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
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.
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