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Generalized Inverses

  • R. B. Bapat
Chapter
  • 5.7k Downloads
Part of the Universitext book series (UTX)

Abstract

Basic properties of generalized inverse are proved. A computational procedure is given. It is shown that a generalized inverse is reflexive if and only if it has the same rank as the matrix. Least squares and minimum norm inverses are defined and their characterization in terms of linear equations is provided. Moore–Penrose inverse is introduced and its existence and uniqueness is established.

Keywords

Moore-Penrose Inverse Minimum Norm Computational Procedure Basic Properties Integer Entries 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

  • R. B. Bapat
    • 1
  1. 1.Indian Statistical InstituteNew DelhiIndia

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