Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses

Algorithm 6

Computing a -inverse with the prescribed range.

Require: Time varying matrices and .

 (1) Check the condition .

  If these conditions are satisfied then continue.

 (2) If the previous condition is satisfied, then solve the matrix equation with respect to an unknown

  matrix .

 (3) Return a -inverse of satisfying .