Subclasses of generalized inverses of matrices

  • Masaaki Sibuya
Article

Summary

Structure of allg-inverses of a matrix in a weak sense is shown. Characterizations of main subclasses ofg-inverses are investigated thoroughly. The dualities among subclasses and the relation betweeng-inverses and projections are stressed. The Gauss-Markov theorem reduces to a duality of two types ofg-inverses

Keywords

Orthogonal Projection Canonical Form Equivalent Condition Generalize Inverse Weak Sense 

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Copyright information

© The Institute of Statistical Mathematics 1970

Authors and Affiliations

  • Masaaki Sibuya
    • 1
  1. 1.Scientific CenterI.B.M. JapanJapan

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