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Tian Yongge. Calculating Formulas for Ranks of Submatrices of the Moore-Penrose Inverse[J]. Journal of Beijing University of Technology, 1992, 18(4): 84-91.
Citation: Tian Yongge. Calculating Formulas for Ranks of Submatrices of the Moore-Penrose Inverse[J]. Journal of Beijing University of Technology, 1992, 18(4): 84-91.
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Calculating Formulas for Ranks of Submatrices of the Moore-Penrose Inverse

  • Zhengzhou Technical Scool for Surveying and Mapping

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  • Received Date: July 15, 1991
  • Available Online: August 08, 2022
  • Published Date: December 09, 1992
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    • Abstract
  • First, we introduce a set of formulas for calculating the ranks of Submatrices E1, E2, E3 and E4 in M+, and give a lot of reduced forms for these formulas under some general conditions. Then, we introduce some inequalities for ranks of submatrices in M and M+. Finally, we give a set of calculating formulas and some inequalities for ranks of matrices C and D in the Moore-Penrose inverse (A+iB)+=C+iD.
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