A Rank-Revealing Method with Updating, Downdating, and Applications. Part II

@article{Lee2009ARM,
  title={A Rank-Revealing Method with Updating, Downdating, and Applications. Part II},
  author={Tsung-Lin Lee and Tien-Yien Li and Zhonggang Zeng},
  journal={SIAM J. Matrix Analysis Applications},
  year={2009},
  volume={31},
  pages={503-525}
}
As one of the basic problems in matrix computation, rank-revealing arises in a wide variety of applications in scientific computing. Although the singular value decomposition is the standard rank-revealing method, it is costly in both computing time and storage when the rank or the nullity is low, and it is inefficient in updating and downdating when rows and columns are inserted or deleted. Consequently, alternative methods are in demand in those situations. Following up on a recent rank… CONTINUE READING

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