Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online course: Linear Algebra - Normal Forms - Singular Value Decomposition

Moore-Penrose Conditions

[previous page] [next page] [table of contents][page overview]
The pseudo inverse (Moore-Penrose inverse) $ A^+$ of an $ m\times n$-matrix $ A$ is uniquely determined by the following identities:

  1. $\displaystyle A A^+ A = A $

  2. $\displaystyle A^+ A A^+ = A^+ $

  3. $\displaystyle (A A^+)^{\operatorname t}= A A^+ $

  4. $\displaystyle (A^+ A)^{\operatorname t}= A^+ A\,. $

(Authors: App/Burkhardt/Höllig)

(temporary unavailable)
  automatically generated 4/21/2005