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Moore-Penrose Conditions

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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)

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  automatically generated 2/10/2005