Splitting-based block preconditioning methods for block two-by-two matrices of real square blocks

@article{Yan2014SplittingbasedBP,
  title={Splitting-based block preconditioning methods for block two-by-two matrices of real square blocks},
  author={Hui-Yin Yan and Yu-Mei Huang},
  journal={Applied Mathematics and Computation},
  year={2014},
  volume={243},
  pages={825-837}
}
Recently, Bai proposed rotated block preconditioners for block two-by-two matrices of real square blocks. These rotated block preconditioners have the product form of a scaled orthogonal matrix and a block two-by-two triangular matrix. Theoretical and numerical results have shown the superiority of these rotated block preconditioners (see Bai (2013) [10]). In this paper, inspired by the efficiency and the special structure of the rotated block preconditioners, we establish a new equivalent… CONTINUE READING

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