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Archive for Rational Mechanics and Analysis

, Volume 61, Issue 3, pp 197–251 | Cite as

Block generalized inverses

  • Robert E. Hartwig
Article

Abstract

The existence of the Moore-Penrose inverse is discussed for elements of a *-regular ring R. A technique is developed for computing conditional and reflexive inverses for matrices in R2×2, which is then used to calculate the Moore-Penrose inverse for these matrices. Several applications are given, generalizing many of the classical results; in particular, we shall emphasize the cases of bordered matrices, Schur complements, block-rank formulae and EP elements.

Keywords

Neural Network Complex System Nonlinear Dynamics Electromagnetism Classical Result 
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.

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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Robert E. Hartwig
    • 1
  1. 1.Department of MathematicsNorth Carolina State UniversityRaleigh

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