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  • 标题:Computing the Moore-Penrose Inverse of a Matrix Through Symmetric Rank-One Updates
  • 本地全文:下载
  • 作者:Xuzhou Chen ; Jun Ji
  • 期刊名称:American Journal of Computational Mathematics
  • 印刷版ISSN:2161-1203
  • 电子版ISSN:2161-1211
  • 出版年度:2011
  • 卷号:1
  • 期号:3
  • 页码:147-151
  • DOI:10.4236/ajcm.2011.13016
  • 出版社:Scientific Research Publishing
  • 摘要:This paper presents a recursive procedure to compute the Moore-Penrose inverse of a matrix A. The method is based on the expression for the Moore-Penrose inverse of rank-one modified matrix. The computational complexity of the method is analyzed and a numerical example is included. A variant of the algorithm with lower computational complexity is also proposed. Both algorithms are tested on randomly generated matrices. Numerical performance confirms our theoretic results.
  • 关键词:Finite Recursive Algorithm; Moore-Penrose Inverse; Symmetric Rank-One Update
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